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The Statistical Analysis of Recurrent Events

:	Richard J. Cook, Jerald Lawless
:	The Statistical Analysis of Recurrent Events
:	Springer-Verlag
:	9780387698106
:	1
:	CHF 110.30
:

:	Allgemeines
:	English

:	404
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This book presents models and statistical methods for the analysis of recurrent event data. The authors provide broad, detailed coverage of the major approaches to analysis, while emphasizing the modeling assumptions that they are based on. More general intensity-based models are also considered, as well as simpler models that focus on rate or mean functions. Parametric, nonparametric and semiparametric methodologies are all covered, with procedures for estimation, testing and model checking.

	Preface	6
	Glossary	9
	Contents	12
	1 Introduction	18
	1.1 The Scope of Recurrent Events	18
	1.2 Some Preliminary Examples	19
	1.3 Notation and Frameworks	26
	1.4 Selection of Individuals and Observation Schemes	33
	1.5 Multitype Event Data	37
	1.6 Some Other Aspects of Analysis and Design	40
	1.7 Bibliographic Notes	41
	2 Models and Frameworks for Analysis of Recurrent Events	43
	2.1 Mathematical Background	43
	2.2 Poisson Processes and Models for Event Counts	47
	2.3 Renewal Processes and Models for Gap Times	55
	2.4 General Intensity-Based Models	59
	2.5 Discrete-Time Models and Time-Varying Covariates	61
	2.6 Likelihood for Selection and Observation Schemes	63
	2.7 Bibliographic Notes	67
	2.8 Problems and Supplements	68
	3 Methods Based on Counts and Rate Functions	75
	3.1 Introduction	75
	3.2 Parametric Maximum Likelihood for Poisson Models	77
	3.3 Poisson Models with Piecewise-Constant Rates	81
	3.4 Nonparametric and Semiparametric Poisson Models	84
	3.5 Poisson Models with Random Effects	92
	3.6 Robust Methods for Rate and Mean Functions	98
	3.7 Some Useful Tests for Rate Functions	104
	3.8 Applications and Illustrations	116
	3.9 Bibliographic Notes	128
	3.10 Problems and Supplements	130
	4 Analysis of Gap Times	136
	4.1 Renewal Processes and Related Methods of Analysis	136
	4.2 Extensions of Renewal Models	141
	4.3 Examples	148
	4.4 Estimation of Marginal Gap Time Probabilities	152
	4.5 Left Truncation of First Gap Times and Initial Conditions	161
	4.6 Bibliographic Notes	167
	4.7 Problems and Supplements	168
	5 General Intensity-Based Models	175
	5.1 Time Scales and Intensity Modeling	175
	5.2 Parametric Analysis for Two Useful Models	177
	5.3 Semiparametric Markov Analysis	185
	5.4 Semiparametric Modulated Renewal Analysis	197
	5.5 Some Additional Illustrations	203
	5.6 Bibliographic Notes	214
	5.7 Problems and Supplements	215
	6 Multitype Recurrent Events	219
	6.1 Multivariate Event Data	219
	6.2 Intensity-Based Methods	220
	6.3 Random Effect Models for Multitype Events	223
	6.4 Robust Methods for Multitype Events	226
	6.5 Alternating Two-State Processes	230
	6.6 Recurrent Events with a Terminal Event	232
	6.7 Applications and Illustrations	241
	6.8 Bibliographic Notes	260
	6.9 Problems and Supplements	261
	7 Observation Schemes Giving Incomplete or Selective Data	265
	7.1 Intermittent Observation During Followup	265
	7.2 Dependent Censoring or Inspections	278
	7.3 Event-Dependent Selection	287
	7.4 Bibliographic Notes	298
	7.5 Problems and Supplements	300
	8 Other Topics	306
	8.1 Event Processes with Marks	306
	8.2 Models for Cumulative Costs	308
	8.3 Prediction	315
	8.4 Recurrent Events in Randomized Trials	324
	8.5 Clustered Data	337
	8.6 Missing Covariate Values	340
	8.7 Covariate Measurement Error	342
	8.8 Bayesian Methods	344
	8.9 Bibliographic Notes	345
	8.10 Problems and Supplements	346
	A Estimation and Statistical Inference	350
	A.1 Maximum Likelihood	350
	A.2 Estimating Functions	355
	B Computational Methods	357
	B.1 Software for Recurrent Events	357
	B.2 Optimization Methods	358
	B.3 Simulation and Resampling Methods	358
	C Code and Remarks for Selected Examples	361
	C.1 Tumorgenicity Data Analysis of Chapter 3	361
	C.2 Code for rhDNase Data Analyses of Chapter 4	367
	C.3 Code for Chronic Bronchitis Trial of Chapter 6	370
	D Datasets	374
	D.1 Bladder Cancer Data	374
	D.2 Bowel Motility Data	375
	D.3 Pulmonary Exacerbations and rhDNase	376
	D.4 Software Debugging Data	378
	D.5 Artificial Field Repair Data	378
	References	381
	Author Index	401
	Subject Index	407