Description
Multivariate Survival Analysis and Competing Risks
Chapman & Hall/CRC Texts in Statistical Science Series
Language: EnglishSubjects for Multivariate Survival Analysis and Competing Risks:
Keywords
Survival Analysis; Survivor Function; Univariate Survival Analysis; Sub-survivor Functions; Multivariate Survival Analysis; Failure Times; Counting Processes in Survival Analysis; Joint Survivor Function; Competing Risks; Marginal Survivor Functions; Hazard Functions; Sub-hazard Functions; Kaplan Meier Estimator; Time Τl; Latent Failure Times; Partial Likelihood; Observed Failure Times; Time Dependent Covariates; Bivariate Exponential; Stochastic Integration; Likelihood Contribution; Full Parameter Set; Basic Probability Functions; Likelihood Function; Marshall Olkin Distribution; Predictable Variation Process; Negative Binomial; Baseline Survivor Functions
Publication date: 11-2016
· 15.6x23.4 cm · Paperback
Publication date: 05-2012
320 p. · 15.6x23.4 cm · Paperback
Description
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Multivariate Survival Analysis and Competing Risks introduces univariate survival analysis and extends it to the multivariate case. It covers competing risks and counting processes and provides many real-world examples, exercises, and R code. The text discusses survival data, survival distributions, frailty models, parametric methods, multivariate data and distributions, copulas, continuous failure, parametric likelihood inference, and non- and semi-parametric methods.
There are many books covering survival analysis, but very few that cover the multivariate case in any depth. Written for a graduate-level audience in statistics/biostatistics, this book includes practical exercises and R code for the examples. The author is renowned for his clear writing style, and this book continues that trend. It is an excellent reference for graduate students and researchers looking for grounding in this burgeoning field of research.
Univariate Survival Analysis: Survival Data. Survival Distributions. Frailty Models. Parametric Methods. Discrete Time: Non- And Semi-Parametric Methods. Continuous-Time: Non- And Semi-Parametric Methods. Multivariate Survival Analysis: Multivariate Data and Distributions. Frailty and Copulas. Repeated Measure. Wear and Degradation. Competing Risks: Continuous Failure Times And Their Causes. Parametric Likelihood Inference. Latent Failure Times: Probability Distributions. Discrete Failure Times in Competing Risks. Hazard-Based Methods for Continuous Failure Times. Latent Failure Times: Identifiability Crises. Counting Processes in Survival Analysis: Some Basic Concepts. Survival Analysis. Non- And Semi-Parametric Methods.