The Statistical Analysis of Recurrent Events (Statistics for Biology and Health)

By Richard J. Cook

This ebook offers versions and statistical equipment for the research of recurrent occasion facts. The authors offer vast, unique assurance of the main techniques to research, whereas emphasizing the modeling assumptions that they're in keeping with. extra common intensity-based types also are thought of, in addition to easier types that concentrate on price or suggest capabilities. Parametric, nonparametric and semiparametric methodologies are all lined, with techniques for estimation, checking out and version checking.

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171 five. three. 1 versions with Dependence on past Counts . . . . . . . . . . . . 171 five. three. 2 Markov Nonparametric Estimation . . . . . . . . . . . . . . . . . . 173 five. three. three types with Covariates . . . . . . . . . . . . . . . . . . . . . . . . . . . . one hundred seventy five five. three. four research of Outbreaks because of Herpes Simplex Virus . . . 177 xviii Contents five. four Semiparametric Modulated Renewal research . . . . . . . . . . . . . . . 183 five. four. 1 research in response to the Cox version . . . . . . . . . . . . . . . . . . . 183 five. four. 2 representation: Cerebrospinal Fluid Shunts . . . . . . . . . . . . . . 185 five. five a few extra Illustrations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 five. five. 1 Pulmonary Exacerbations within the learn of rhDNase . . . . a hundred ninety five. five. 2 research of bronchial asthma Exacerbations . . . . . . . . . . . . . . . . . . . 193 five. 6 Bibliographic Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . two hundred five. 7 difficulties and supplementations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 6 Multitype Recurrent occasions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 6. 1 Multivariate occasion information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 6. 2 Intensity-Based equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206 6. 2. 1 Notation and depth features . . . . . . . . . . . . . . . . . . . . 206 6. 2. 2 comments on Intensity-Based versions . . . . . . . . . . . . . . . . . 207 6. three Random Effect versions for Multitype occasions . . . . . . . . . . . . . . . . 209 6. four powerful tools for Multitype occasions . . . . . . . . . . . . . . . . . . . . . . 212 6. four. 1 tools in line with operating Independence Assumptions 212 6. four. 2 strong tools with Covariance capabilities . . . . . . . . . . 214 6. five Alternating Two-State procedures . . . . . . . . . . . . . . . . . . . . . . . . . . 216 6. 6 Recurrent occasions with a Terminal occasion . . . . . . . . . . . . . . . . . . . 218 6. 6. 1 Intensity-Based techniques . . . . . . . . . . . . . . . . . . . . . . . . . 219 6. 6. 2 Random Effects types . . . . . . . . . . . . . . . . . . . . . . . . . . . . 220 6. 6. three powerful tools for Marginal good points . . . . . . . . . . . . . . . 222 6. 6. four partly Conditional tools . . . . . . . . . . . . . . . . . . . . . . 224 6. 7 purposes and Illustrations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 6. 7. 1 Cerebrospinal Fluid Shunt disasters . . . . . . . . . . . . . . . . . . 227 6. 7. 2 Exacerbations in sufferers with continual Bronchitis . . . . . 232 6. 7. three Skeletal issues in Metastatic melanoma . . . . . . . . . . 236 6. 7. four Relationships among Skeletal problems . . . . . . . . . 241 6. eight Bibliographic Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 6. nine difficulties and vitamins . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 7 statement Schemes Giving Incomplete or Selective facts . 251 7. 1 Intermittent remark in the course of Followup . . . . . . . . . . . . . . . . . . 251 7. 1. 1 tools in accordance with Poisson procedures . . . . . . . . . . . . . . . . . 252 7. 1. 2 powerful Estimation of price and suggest capabilities . . . . . . . 254 7. 1. three representation: Superficial Tumors of the Bladder . . . . . . . . 256 7. 1. four Interval-Count facts for a number of occasions . . . . . . . . . . . . . 260 7. 1. five representation: Joint harm in Psoriatic Arthritis . . . . . . . 263 7. 2 established Censoring or Inspections . . . . . . . . . . . . . . . . . . . . . . . 264 7. 2. 1 established Censoring and Weighted Estimating services . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264 7. 2. 2 cost or suggest functionality Estimation with EventDependent Censoring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 7. 2. three Intermittent statement . . . . . . . . . . . . . . . . . . . . . . . . . . . 270 Contents xix 7. three Event-Dependent choice .

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