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1 | (14) |
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1.1 Survival and Time-to-Event Data |
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1 | (3) |
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1.2 Continuous Versus Discrete Survival |
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4 | (2) |
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6 | (1) |
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7 | (8) |
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15 | (20) |
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15 | (10) |
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2.1.1 Distributional Aspects |
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19 | (1) |
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2.1.2 Smooth Life Table Estimators |
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20 | (3) |
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2.1.3 Heterogeneous Intervals |
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23 | (2) |
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2.2 Kaplan-Meier Estimator |
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25 | (2) |
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2.3 Life Tables in Demography |
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27 | (4) |
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2.4 Literature and Further Reading |
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31 | (1) |
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31 | (1) |
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32 | (3) |
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3 Basic Regression Models |
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35 | (38) |
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3.1 The Discrete Hazard Function |
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35 | (2) |
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3.2 Parametric Regression Models |
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37 | (11) |
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3.2.1 Logistic Discrete Hazards: The Proportional Continuation Ratio Model |
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38 | (4) |
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42 | (6) |
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3.3 Discrete and Continuous Hazards |
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48 | (3) |
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3.3.1 Concepts for Continuous Time |
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48 | (2) |
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3.3.2 The Proportional Hazards Model |
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50 | (1) |
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51 | (8) |
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58 | (1) |
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3.5 Time-Varying Covariates |
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59 | (5) |
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3.6 Continuous Versus Discrete Proportional Hazards |
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64 | (3) |
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3.7 Subject-Specific Interval Censoring |
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67 | (3) |
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3.8 Literature and Further Reading |
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70 | (1) |
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70 | (1) |
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71 | (2) |
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4 Evaluation and Model Choice |
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73 | (32) |
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4.1 Relevance of Predictors: Tests |
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73 | (4) |
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4.2 Residuals and Goodness-of-Fit |
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77 | (9) |
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78 | (2) |
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4.2.2 Deviance in the Case of Censoring |
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80 | (1) |
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4.2.3 Martingale Residuals |
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81 | (5) |
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4.3 Measuring Predictive Performance |
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86 | (10) |
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4.3.1 Predictive Deviance and R2 Coefficients |
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86 | (2) |
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4.3.2 Prediction Error Curves |
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88 | (4) |
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4.3.3 Discrimination Measures |
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92 | (4) |
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4.4 Choice of Link Function and Flexible Links |
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96 | (5) |
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4.4.1 Families of Response Functions |
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97 | (4) |
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4.4.2 Nonparametric Estimation of Link Functions |
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101 | (1) |
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4.5 Literature and Further Reading |
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101 | (1) |
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102 | (1) |
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102 | (3) |
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5 Nonparametric Modeling and Smooth Effects |
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105 | (24) |
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5.1 Smooth Baseline Hazard |
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105 | (10) |
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109 | (3) |
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5.1.2 Smooth Life Table Estimates |
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112 | (3) |
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115 | (3) |
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5.3 Time-Varying Coefficients |
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118 | (4) |
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5.3.1 Penalty for Smooth Time-Varying Effects and Selection |
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119 | (2) |
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5.3.2 Time-Varying Effects and Additive Models |
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121 | (1) |
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5.4 Inclusion of Calendar Time |
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122 | (2) |
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5.5 Literature and Further Reading |
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124 | (1) |
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125 | (1) |
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125 | (4) |
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129 | (20) |
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6.1 Recursive Partitioning |
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130 | (2) |
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6.2 Recursive Partitioning Based on Covariate-Free Discrete Hazard Models |
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132 | (1) |
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6.3 Recursive Partitioning with Binary Outcome |
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133 | (8) |
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141 | (3) |
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141 | (1) |
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142 | (2) |
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6.5 Literature and Further Reading |
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144 | (1) |
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144 | (1) |
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144 | (5) |
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7 High-Dimensional Models: Structuring and Selection of Predictors |
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149 | (18) |
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7.1 Penalized Likelihood Approaches |
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151 | (4) |
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155 | (7) |
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7.2.1 Generic Boosting Algorithm for Arbitrary Outcomes |
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155 | (3) |
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7.2.2 Application to Discrete Hazard Models |
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158 | (4) |
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7.3 Extension to Additive Predictors |
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162 | (1) |
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7.4 Literature and Further Reading |
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163 | (1) |
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164 | (1) |
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164 | (3) |
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167 | (18) |
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167 | (5) |
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8.1.1 Multinomial Logit Model |
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169 | (1) |
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8.1.2 Ordered Target Events |
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170 | (1) |
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170 | (1) |
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8.1.4 Separate Modeling of Single Targets |
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171 | (1) |
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8.2 Maximum Likelihood Estimation |
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172 | (3) |
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175 | (5) |
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8.4 Literature and Further Reading |
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180 | (1) |
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181 | (1) |
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181 | (4) |
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9 Frailty Models and Heterogeneity |
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185 | (28) |
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9.1 Discrete Hazard Frailty Model |
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186 | (6) |
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9.1.1 Individual and Population Level Hazard |
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186 | (2) |
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9.1.2 Basic Frailty Model Including Covariates |
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188 | (2) |
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9.1.3 Modeling with Frailties |
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190 | (2) |
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9.2 Estimation of Frailty Models |
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192 | (2) |
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9.3 Extensions to Additive Models Including Frailty |
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194 | (3) |
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9.4 Variable Selection in Frailty Models |
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197 | (2) |
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199 | (2) |
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9.6 Finite Mixture Models |
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201 | (7) |
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9.6.1 Extensions to Covariate-Dependent Mixture Probabilities |
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203 | (1) |
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204 | (3) |
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9.6.3 Estimation for Finite Mixtures |
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207 | (1) |
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9.7 Sequential Models in Item Response Theory |
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208 | (1) |
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9.8 Literature and Further Reading |
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209 | (1) |
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210 | (1) |
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211 | (2) |
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10 Multiple-Spell Analysis |
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213 | (12) |
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213 | (3) |
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214 | (2) |
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10.2 Multiple Spells as Repeated Measurements |
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216 | (3) |
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10.3 Generalized Estimation Approach to Repeated Measurements |
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219 | (2) |
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10.4 Literature and Further Reading |
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221 | (1) |
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221 | (1) |
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221 | (4) |
References |
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225 | (12) |
List of Examples |
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237 | (2) |
Subject Index |
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239 | (4) |
Author Index |
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243 | |