By Ross L. Prentice John D. Kalbfleisch
Content material:
Chapter 1 advent (pages 1–30):
Chapter 2 Failure Time types (pages 31–51):
Chapter three Inference in Parametric types and comparable issues (pages 52–94):
Chapter four Relative threat (Cox) Regression versions (pages 95–147):
Chapter five Counting methods and Asymptotic thought (pages 148–192):
Chapter 6 probability building and additional effects (pages 193–217):
Chapter 7 Rank Regression and the speeded up Failure Time version (pages 218–246):
Chapter eight Competing dangers and Multistate types (pages 247–277):
Chapter nine Modeling and research of Recurrent occasion facts (pages 278–301):
Chapter 10 research of Correlated Failure Time facts (pages 302–327):
Chapter eleven extra Failure Time information themes (pages 328–374):
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Additional resources for The Statistical Analysis of Failure Time Data, Second Edition
Example text
20) Thus, the statistic = {dy — ey,... ,d j ~ e ) has conditional mean 0 and ρ x ρ variance matrix VV,. 21) 22 INTRODUCTION where Ο = ( Ο , , . . , Ο )', Ε = ( Ε ι , . . =ι
P. The corresponding at risk processes are Yn{t), and again we assume independent censoring. (t) — Σ ί(( ) specify the number at risk at time t. (t) = Σ ? [*-iqi). 30) where = l(i = £). 6. BIBLIOGRAPHIC NOTES Some useful references to life-table estimation are those by Berkson and Gage (1952), Cutler and Ederer (1958), Chiang (1960,1968), and Gehan (1969). The Kaplan-Meier or product limit estimator appears first to have been proposed as a limit of the life-table estimator by Bohmer (1912). 1.
One primary aim is then to evaluate treatment effects, or examples, while accounting for heterogeneity among the individuals sampled. 1 Exponential and Weibull Regression Models The exponential distribution can be generalized to obtain a regression model by allowing the failure rate to be a function of the derived covariates Z. The hazard at time t for an individual with basic covariate vector χ can be written A(/;JC) = A(Z). Thus the hazard for a given χ is a constant characterizing an exponential failure time distribution, but the failure rate depends on the derived covariates Z.