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Part One Signal Extraction and Likelihood Inference for Linear UC Models |
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1 | (114) |
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3 | (11) |
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The Linear State Space Form |
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3 | (1) |
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Alternative State Space Representations and Extensions |
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3 | (1) |
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4 | (1) |
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5 | (2) |
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Initialisation and Likelihood Inference |
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7 | (2) |
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9 | (5) |
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Cross-validatory and auxiliary residuals |
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10 | (1) |
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Smoothing splines and non parametric regression |
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10 | (4) |
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Prediction Theory for Autoregressive-Moving Average Processes |
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14 | (34) |
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14 | (2) |
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16 | (7) |
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Forecasting the ARMA(1,1) process |
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16 | (4) |
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Extracting an AR(1) signal masked by white noise |
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20 | (3) |
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State-Space Methods and Convergence Conditions |
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23 | (6) |
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The state-space form and the Kalman filter |
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23 | (4) |
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Conditions for convergence of the covariance sequence |
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27 | (2) |
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Forecasting the ARMA(p,q) Process |
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29 | (5) |
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29 | (2) |
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The invertible moving average case |
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31 | (1) |
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Moving average with roots on the unit circle |
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32 | (1) |
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Moving average with roots outside the unit circle |
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33 | (1) |
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Signal Extraction in Unobserved-Component ARMA Models |
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34 | (8) |
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34 | (3) |
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37 | (2) |
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The non-stationary detectable case |
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39 | (2) |
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41 | (1) |
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42 | (6) |
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44 | (1) |
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45 | (1) |
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46 | (2) |
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Exact Initial Kalman Filtering and Smoothing for Nonstationary Time Series Models |
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48 | (20) |
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48 | (3) |
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The Exact Initial Kalman Filter |
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51 | (3) |
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The nonsingular and univariate case |
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53 | (1) |
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Automatic collapse to Kalman filter |
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53 | (1) |
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54 | (1) |
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Log-Likelihood Function and Score Vector |
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54 | (2) |
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56 | (2) |
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Local-level component model |
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56 | (1) |
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Local linear trend component model |
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56 | (1) |
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Common-level component model |
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57 | (1) |
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58 | (3) |
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59 | (1) |
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60 | (1) |
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60 | (1) |
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61 | (7) |
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63 | (3) |
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66 | (2) |
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Smoothing and Interpolation with the State-Space Model |
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68 | (9) |
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68 | (1) |
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The State-Space Model, Kalman Filtering, and Smoothing |
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69 | (1) |
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70 | (2) |
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71 | (1) |
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Classic fixed-interval smoothing |
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71 | (1) |
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71 | (1) |
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72 | (1) |
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Covariances between smoothed estimates |
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72 | (1) |
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72 | (1) |
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73 | (1) |
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74 | (3) |
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74 | (1) |
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75 | (2) |
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Diagnostic Checking of Unobserved-Components Time Series Models |
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77 | (23) |
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Properties of Residuals in Large Samples |
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78 | (5) |
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79 | (1) |
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80 | (1) |
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81 | (2) |
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83 | (2) |
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Relationship between auxiliary residuals |
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84 | (1) |
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85 | (1) |
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85 | (4) |
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Tests based on skewness and kurtosis |
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86 | (2) |
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88 | (1) |
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89 | (2) |
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Tests for serial correlation |
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89 | (1) |
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Residuals from the canonical decomposition |
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90 | (1) |
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91 | (1) |
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91 | (6) |
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U.S. exports to Latin America |
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91 | (1) |
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Car drivers killed and seriously injured in Great Britain |
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92 | (1) |
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Consumption of spirits in the United Kingdom |
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93 | (4) |
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97 | (3) |
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97 | (1) |
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98 | (2) |
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Nonparametric Spline Regression with Autoregressive Moving Average Errors |
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100 | (15) |
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100 | (2) |
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Penalized Least Squares and Signal Extraction |
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102 | (2) |
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104 | (2) |
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Maximum likelihood parameter estimation |
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104 | (1) |
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Parameter estimation by cross-validation |
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105 | (1) |
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Unequally Spaced Observations |
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106 | (1) |
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Performance of Function Estimators: Simulation Results |
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107 | (3) |
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110 | (5) |
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112 | (1) |
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113 | (2) |
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Part Two Unobserved Components in Economic Time Series |
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115 | (136) |
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117 | (9) |
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Trends and Cycles in Economic Time Series |
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117 | (2) |
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The Hodrick-Prescott Filter |
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119 | (2) |
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121 | (2) |
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Estimation and Seasonal Adjustment in Panel Surveys |
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123 | (1) |
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Seasonality in Weekly Data |
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124 | (2) |
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Univariate Detrending Methods with Stochastic Trends |
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126 | (25) |
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126 | (2) |
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128 | (2) |
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130 | (4) |
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134 | (10) |
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135 | (5) |
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140 | (2) |
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142 | (2) |
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144 | (2) |
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146 | (5) |
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147 | (1) |
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148 | (3) |
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Detrending, Stylized Facts and the Business Cycle |
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151 | (20) |
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151 | (1) |
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The Trend Plus Cycle Model |
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152 | (1) |
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The Hodrick--Prescott Filter |
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153 | (2) |
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Macroeconomic Time Series |
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155 | (5) |
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160 | (7) |
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160 | (1) |
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ARIMA methodology and smooth trends |
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161 | (3) |
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164 | (1) |
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Spurious cross-correlations between detrended series |
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164 | (3) |
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167 | (4) |
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168 | (1) |
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169 | (2) |
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Stochastic Linear Trends: Models and Estimators |
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171 | (30) |
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Introduction: the Concept of a Trend |
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171 | (2) |
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The General Statistical Framework |
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173 | (2) |
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Some Models for the Trend Component |
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175 | (3) |
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A Frequently Encountered Class of Models |
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178 | (4) |
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182 | (2) |
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The MMSE Estimator of the Trend |
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184 | (7) |
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Some Implications for Econometric Modeling |
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191 | (5) |
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196 | (5) |
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197 | (4) |
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Estimation and Seasonal Adjustment of Population Means Using Data from Repeated Surveys |
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201 | (24) |
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State-Space Models and the Kalman Filter |
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202 | (2) |
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Basic Structural Models for Repeated Surveys |
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204 | (6) |
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System equations for the components of the population mean |
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204 | (2) |
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Observation equations for the survey estimators |
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206 | (2) |
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A compact model representation |
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208 | (1) |
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209 | (1) |
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Accounting for Rotation Group Bias |
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210 | (1) |
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Estimation and Initialization of the Kalman Filter |
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211 | (2) |
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Simulation and Empirical Results |
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213 | (8) |
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213 | (5) |
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Empirical results using labour force data |
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218 | (3) |
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221 | (4) |
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222 | (3) |
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The Modeling and Seasonal Adjustment of Weekly Observations |
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225 | (26) |
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The Basic Structural Time Series Model |
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227 | (3) |
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Trigonometric seasonality |
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228 | (1) |
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Dummy-variable seasonality |
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228 | (1) |
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229 | (1) |
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230 | (3) |
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Trigonometric seasonality |
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230 | (1) |
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Periodic time-varying splines |
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231 | (1) |
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232 | (1) |
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232 | (1) |
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Moving Festivals: Variable-Dummy Effects |
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233 | (1) |
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Statistical Treatment of the Model |
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233 | (2) |
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235 | (7) |
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242 | (9) |
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243 | (5) |
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248 | (1) |
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249 | (2) |
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Part Three Testing in Unobserved Components Models |
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251 | (52) |
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253 | (7) |
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Stationarity and Unit Roots Tests |
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253 | (3) |
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256 | (1) |
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Multivariate Stationarity and Unit Root Tests |
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257 | (1) |
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Common Trends and Co-integration |
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258 | (1) |
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259 | (1) |
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259 | (1) |
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Testing for Deterministic Linear Trend in Time Series |
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260 | (12) |
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260 | (1) |
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261 | (3) |
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264 | (2) |
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Asymptotic Distributions and Efficiency |
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266 | (2) |
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Asymptotic Moment-Generating Functions |
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268 | (2) |
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Conclusions and Extensions |
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270 | (2) |
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270 | (2) |
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Are Seasonal Patterns Constant Over Time? A Test for Seasonal Stability |
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272 | (31) |
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Regression Models with Stationary Seasonality |
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275 | (3) |
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275 | (1) |
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Modeling deterministic seasonal patterns |
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276 | (1) |
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Lagged dependent variables |
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277 | (1) |
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Estimation and covariance matrices |
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277 | (1) |
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Testing for Seasonal Unit Roots |
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278 | (5) |
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278 | (1) |
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279 | (2) |
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Joint test for unit roots at all seasonal frequencies |
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281 | (1) |
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Tests for unit roots at specific seasonal frequencies |
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282 | (1) |
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Testing for Nonconstant Seasonal Patterns |
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283 | (3) |
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283 | (1) |
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Testing for instability in an individual season |
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283 | (1) |
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Joint test for instability in the seasonal intercepts |
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284 | (2) |
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286 | (7) |
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288 | (4) |
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292 | (1) |
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293 | (6) |
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U.S. post World War II macroeconomic series |
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293 | (4) |
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European industrial production |
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297 | (1) |
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298 | (1) |
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299 | (4) |
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300 | (3) |
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Part Four Non-Linear and Non-Gaussian Models |
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303 | (139) |
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305 | (11) |
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Analytic Filters for Non-Gaussian Models |
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307 | (1) |
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Stochastic Simulation Methods |
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308 | (1) |
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Single Move State Samplers |
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309 | (1) |
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310 | (1) |
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311 | (2) |
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313 | (1) |
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Sequential Monte Carlo Methods |
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314 | (2) |
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315 | (1) |
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Time Series Models for Count or Qualitative Observations |
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316 | (22) |
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316 | (2) |
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Observations from a Poisson Distribution |
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318 | (3) |
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321 | (2) |
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323 | (1) |
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324 | (2) |
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326 | (3) |
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Model Selection and Applications for Count Data |
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329 | (9) |
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Goals scored by England against Scotland |
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330 | (2) |
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Purse snatching in Chicago |
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332 | (1) |
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Effect of the seat-belt law on van drivers in Great Britain |
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333 | (1) |
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334 | (2) |
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336 | (2) |
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On Gibbs Sampling for State Space Models |
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338 | (16) |
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338 | (1) |
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339 | (3) |
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339 | (1) |
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Generating the state vector |
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340 | (1) |
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Generating the indicator variables |
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341 | (1) |
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342 | (12) |
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342 | (1) |
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Example 1: Cubic smoothing spline |
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342 | (5) |
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Example 2: Trend plus seasonal components time series model |
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347 | (1) |
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Normal mixture errors with Markov dependence |
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348 | (1) |
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Switching regression model |
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349 | (1) |
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350 | (1) |
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351 | (1) |
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352 | (2) |
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The Simulation Smoother for Time Series Models |
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354 | (14) |
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354 | (2) |
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Single Versus Multi-State Sampling |
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356 | (3) |
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356 | (2) |
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358 | (1) |
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359 | (2) |
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361 | (2) |
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363 | (5) |
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364 | (2) |
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366 | (2) |
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Likelihood Analysis of Non-Gaussian Measurement Time Series |
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368 | (18) |
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368 | (3) |
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Example: Stochastic Volatility |
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371 | (2) |
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371 | (1) |
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Pseudo-dominating Metropolis sampler |
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371 | (1) |
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372 | (1) |
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373 | (7) |
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373 | (1) |
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374 | (3) |
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377 | (1) |
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Illustration on stochastic volatility model |
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377 | (3) |
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380 | (2) |
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380 | (1) |
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380 | (2) |
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382 | (4) |
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382 | (1) |
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383 | (3) |
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Time Series Analysis of Non-Gaussian Observations Based on State Space Models from Both Classical and Bayesian Perspectives |
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386 | (32) |
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386 | (3) |
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389 | (1) |
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The linear Gaussian model |
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389 | (1) |
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389 | (1) |
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Basic Simulation Formulae |
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390 | (5) |
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390 | (1) |
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Formulae for classical inference |
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391 | (1) |
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Formulae for Bayesian inference |
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392 | (2) |
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Bayesian analysis for the linear Gaussian model |
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394 | (1) |
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Approximating Linear Gaussian Models |
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395 | (5) |
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395 | (1) |
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Linearization for non-Gaussian observation densities: method 1 |
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396 | (1) |
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Exponential family observations |
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397 | (1) |
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Linearization for non-Gaussian observation densities: method 2 |
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398 | (1) |
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Linearization when the state errors are non-Gaussian |
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398 | (1) |
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399 | (1) |
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400 | (7) |
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400 | (1) |
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Simulation smoother and antithetic variables |
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400 | (1) |
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Estimating means, variances, densities and distribution functions |
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401 | (2) |
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Maximum likelihood estimation of parameter vector |
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403 | (2) |
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405 | (2) |
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407 | (6) |
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Van drivers killed in UK: a Poisson application |
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407 | (3) |
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Gas consumption in UK: a heavy-tailed application |
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410 | (2) |
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Pound-dollar daily exchange rates: a volatility application |
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412 | (1) |
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413 | (5) |
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415 | (3) |
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On Sequential Monte Carlo Sampling Methods for Bayesian Filtering |
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418 | (24) |
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418 | (2) |
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Filtering via Sequential Importance Sampling |
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420 | (7) |
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Preliminaries: Filtering for the state space model |
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420 | (1) |
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Bayesian Sequential Importance Sampling (SIS) |
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420 | (2) |
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Degeneracy of the algorithm |
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422 | (1) |
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Selection of the importance function |
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422 | (5) |
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427 | (2) |
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Rao-Blackwellisation for Sequential Importance Sampling |
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429 | (2) |
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Prediction, smoothing and likelihood |
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431 | (4) |
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431 | (1) |
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432 | (1) |
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433 | (1) |
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434 | (1) |
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435 | (4) |
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436 | (1) |
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437 | (2) |
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439 | (3) |
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439 | (3) |
References |
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442 | (8) |
Author Index |
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450 | (6) |
Subject Index |
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456 | |