Preface to the Fourth Edition |
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v | |
Preface to the Third Edition |
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vii | |
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1 Characteristics of Time Series |
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1 | (44) |
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1.1 The Nature of Time Series Data |
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2 | (6) |
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1.2 Time Series Statistical Models |
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8 | (7) |
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1.3 Measures of Dependence |
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15 | (4) |
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1.4 Stationary Time Series |
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19 | (7) |
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1.5 Estimation of Correlation |
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26 | (7) |
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1.6 Vector-Valued and Multidimensional Series |
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33 | (12) |
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38 | (7) |
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2 Time Series Regression and Exploratory Data Analysis |
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45 | (30) |
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2.1 Classical Regression in the Time Series Context |
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45 | (9) |
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2.2 Exploratory Data Analysis |
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54 | (11) |
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2.3 Smoothing in the Time Series Context |
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65 | (10) |
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70 | (5) |
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75 | (90) |
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3.1 Autoregressive Moving Average Models |
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75 | (13) |
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88 | (6) |
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3.3 Autocorrelation and Partial Autocorrelation |
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94 | (6) |
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100 | (13) |
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113 | (18) |
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3.6 Integrated Models for Nonstationary Data |
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131 | (4) |
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3.7 Building ARIMA Models |
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135 | (7) |
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3.8 Regression with Autocorrelated Errors |
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142 | (3) |
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3.9 Multiplicative Seasonal ARIMA Models |
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145 | (20) |
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154 | (11) |
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4 Spectral Analysis and Filtering |
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165 | (76) |
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4.1 Cyclical Behavior and Periodicity |
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166 | (6) |
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172 | (7) |
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4.3 Periodogram and Discrete Fourier Transform |
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179 | (10) |
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4.4 Nonparametric Spectral Estimation |
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189 | (14) |
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4.5 Parametric Spectral Estimation |
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203 | (3) |
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4.6 Multiple Series and Cross-Spectra |
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206 | (5) |
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211 | (6) |
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4.8 Lagged Regression Models |
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217 | (5) |
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4.9 Signal Extraction and Optimum Filtering |
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222 | (4) |
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4.10 Spectral Analysis of Multidimensional Series |
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226 | (15) |
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229 | (12) |
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5 Additional Time Domain Topics |
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241 | (48) |
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5.1 Long Memory ARMA and Fractional Differencing |
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241 | (9) |
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250 | (3) |
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253 | (9) |
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262 | (4) |
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5.5 Lagged Regression and Transfer Function Modeling |
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266 | (6) |
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5.6 Multivariate ARMAX Models |
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272 | (17) |
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285 | (4) |
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289 | (96) |
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6.1 Linear Gaussian Model |
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290 | (4) |
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6.2 Filtering, Smoothing, and Forecasting |
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294 | (10) |
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6.3 Maximum Likelihood Estimation |
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304 | (9) |
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6.4 Missing Data Modifications |
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313 | (5) |
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6.5 Structural Models: Signal Extraction and Forecasting |
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318 | (3) |
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6.6 State-Space Models with Correlated Errors |
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321 | (7) |
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323 | (1) |
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6.6.2 Multivariate Regression with Autocorrelated Errors |
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324 | (4) |
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6.7 Bootstrapping State Space Models |
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328 | (5) |
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6.8 Smoothing Splines and the Kalman Smoother |
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333 | (3) |
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6.9 Hidden Markov Models and Switching Autoregression |
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336 | (12) |
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6.10 Dynamic Linear Models with Switching |
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348 | (12) |
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6.11 Stochastic Volatility |
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360 | (7) |
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6.12 Bayesian Analysis of State Space Models |
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367 | (18) |
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378 | (7) |
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7 Statistical Methods in the Frequency Domain |
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385 | (88) |
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385 | (3) |
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7.2 Spectral Matrices and Likelihood Functions |
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388 | (2) |
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7.3 Regression for Jointly Stationary Series |
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390 | (9) |
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7.4 Regression with Deterministic Inputs |
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399 | (8) |
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7.5 Random Coefficient Regression |
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407 | (2) |
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7.6 Analysis of Designed Experiments |
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409 | (14) |
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7.7 Discriminant and Cluster Analysis |
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423 | (16) |
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7.8 Principal Components and Factor Analysis |
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439 | (16) |
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7.9 The Spectral Envelope |
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455 | (18) |
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466 | (7) |
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Appendix A Large Sample Theory |
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473 | (20) |
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473 | (7) |
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A.2 Central Limit Theorems |
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480 | (4) |
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A.3 The Mean and Autocorrelation Functions |
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484 | (9) |
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Appendix B Time Domain Theory |
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493 | (12) |
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B.1 Hilbert Spaces and the Projection Theorem |
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493 | (4) |
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B.2 Causal Conditions for ARMA Models |
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497 | (2) |
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B.3 Large Sample Distribution of the AR Conditional Least Squares Estimators |
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499 | (3) |
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B.4 The Wold Decomposition |
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502 | (3) |
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Appendix C Spectral Domain Theory |
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505 | (28) |
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C.1 Spectral Representation Theorems |
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505 | (4) |
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C.2 Large Sample Distribution of the Smoothed Periodogram |
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509 | (10) |
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C.3 The Complex Multivariate Normal Distribution |
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519 | (5) |
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524 | (4) |
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C.4.1 Riemann-Stieltjes Integration |
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524 | (2) |
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C.4.2 Stochastic Integration |
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526 | (2) |
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C.5 Spectral Analysis as Principal Component Analysis |
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528 | (3) |
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C.6 Parametric Spectral Estimation |
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531 | (2) |
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533 | (12) |
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533 | (1) |
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533 | (1) |
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534 | (4) |
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538 | (7) |
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541 | (4) |
References |
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545 | (12) |
Index |
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557 | |