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Empirical Likelihood Method in Survival Analysis
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Empirical Likelihood Method in Survival Analysis

DOI link for Empirical Likelihood Method in Survival Analysis

Empirical Likelihood Method in Survival Analysis book

Empirical Likelihood Method in Survival Analysis

DOI link for Empirical Likelihood Method in Survival Analysis

Empirical Likelihood Method in Survival Analysis book

ByMai Zhou
Edition 1st Edition
First Published 2015
eBook Published 17 June 2015
Pub. location New York
Imprint Chapman and Hall/CRC
DOI https://doi.org/10.1201/b18598
Pages 220 pages
eBook ISBN 9780429096945
SubjectsMathematics & Statistics, Medicine, Dentistry, Nursing & Allied Health
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Zhou, M. (2016). Empirical Likelihood Method in Survival Analysis. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b18598

Empirical Likelihood Method in Survival Analysis explains how to use the empirical likelihood method for right censored survival data. The author uses R for calculating empirical likelihood and includes many worked out examples with the associated R code. The datasets and code are available for download on his website and CRAN.

The book focuses on all the standard survival analysis topics treated with empirical likelihood, including hazard functions, cumulative distribution functions, analysis of the Cox model, and computation of empirical likelihood for censored data. It also covers semi-parametric accelerated failure time models, the optimality of confidence regions derived from empirical likelihood or plug-in empirical likelihood ratio tests, and several empirical likelihood confidence band results.

While survival analysis is a classic area of statistical study, the empirical likelihood methodology has only recently been developed. Until now, just one book was available on empirical likelihood and most statistical software did not include empirical likelihood procedures. Addressing this shortfall, this book provides the functions to calculate the empirical likelihood ratio in survival analysis as well as functions related to the empirical likelihood analysis of the Cox regression model and other hazard regression models.

TABLE OF CONTENTS

chapter 1|22 pages

- Introduction

chapter 2|40 pages

- Empirical Likelihood for Linear Functionals of Hazard

chapter 3|28 pages

Empirical Likelihood for Linear Functionals of the Cumulative Dis- tribution Function

chapter 4|28 pages

- Empirical Likelihood Analysis of the Cox Model

chapter 5|18 pages

- Empirical Likelihood Analysis of Accelerated Failure Time Models

chapter 6|32 pages

- Computation of Empirical Likelihood Ratio with Censored Data

chapter 7|14 pages

- Optimality of Empirical Likelihood and Plug-in Empirical Likelihood

chapter 8|8 pages

- Miscellaneous

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