Empirical Likelihood Method in Survival Analysis

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A01=Mai Zhou
Accelerated Failure Time Models
advanced biostatistics
Aft
Aft Regression Model
Author_Mai Zhou
Baseline Hazard
Buckley James Estimator
Category=PBT
censored data analysis
confidence
Confidence Band
Confidence Regions
Cox Model
Cox Partial Likelihood
Cumulative Hazard Function
Empirical Likelihood
Empirical Likelihood Ratio
Empirical Likelihood Ratio Test
Empirical Likelihood Test
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
estimator
functions
hazard regression models
hypothesis
interval
Kaplan Meier Estimator
kaplanmeier
log
Log Empirical Likelihood
Log Empirical Likelihood Ratio
Log Rank Test
nonparametric confidence intervals
Parametric Aft Model
Parametric Likelihood Ratio Tests
Partial Likelihood
Piecewise Exponential Model
Quantile Regression
ratio
right censored data
Stanford Heart Transplant Data
statistical inference R
Survival Analysis
survival data empirical likelihood methods
test
Weighted Empirical Likelihood

Product details

  • ISBN 9780367377571
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 05 Sep 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Add the Empirical Likelihood to Your Nonparametric Toolbox

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.

Mai Zhou is a professor in the Department of Statistics at the University of Kentucky. His research interests include large sample theory and survival analysis. He earned a PhD from Columbia University.

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