Counting processes and survival analysis

書誌事項

Counting processes and survival analysis

Thomas R. Fleming, David P. Harrington

(Wiley series in probability and mathematical statistics, . Applied probability and statistics)

Wiley, c1991

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注記

Bibliography: p. 401-412

Includes indexes

内容説明・目次

内容説明

In recent years there has been considerable activity in the applied and theoretical statistical literature, in methods for analyzing data on events observed over time, and on the study of factors associated with the occurrence rates for those events. This text explores the martingale approach to the statistical analysis of counting processes, with an emphasis on the application of those methods to censored failure time data.

目次

The Applied Setting. The Counting Process and Martingale Framework. Local Square Integrable Martingales. Finite Sample Moments and Large Sample Consistency of Tests and Estimators. Censored Data Regression Models and Their Application. Martingale Central Limit Theorem. Large Sample Results of the Kaplan--Meier Estimator. Weighted Log Rank Statistics. Distribution Theory for Proportional Hazards Regression. Appendices. Bibliography. Notation. Author Index. Subject Index.

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