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Statistical Inference on Residual LifeInference on Mean Residual Life-Overview

Statistical Inference on Residual Life: Inference on Mean Residual Life-Overview [Statistical inference based on the remaining lifetimes would be intuitively more appealing than the popular hazard function defined as the risk of immediate failure, whose interpretation could be sometimes difficult to be grasped. For example, when an efficacy of a new drug is concerned, it would be more straightforward to explain it as “if one with the similar genetic and environmental background like you takes this drug, it is expected, on average, that it will prolong your remaining life years by 10 years” rather than simply saying “the average hazard reduction in the treatment group will be 25\%". Common summary measures for the remaining lifetimes have been the mean and median residual lifetimes. This chapter presents a brief overview of statistical inference on the mean residual life.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Statistical Inference on Residual LifeInference on Mean Residual Life-Overview

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Publisher
Springer New York
Copyright
© Springer Science+Business Media New York 2014
ISBN
978-1-4939-0004-6
Pages
19 –26
DOI
10.1007/978-1-4939-0005-3_2
Publisher site
See Chapter on Publisher Site

Abstract

[Statistical inference based on the remaining lifetimes would be intuitively more appealing than the popular hazard function defined as the risk of immediate failure, whose interpretation could be sometimes difficult to be grasped. For example, when an efficacy of a new drug is concerned, it would be more straightforward to explain it as “if one with the similar genetic and environmental background like you takes this drug, it is expected, on average, that it will prolong your remaining life years by 10 years” rather than simply saying “the average hazard reduction in the treatment group will be 25\%". Common summary measures for the remaining lifetimes have been the mean and median residual lifetimes. This chapter presents a brief overview of statistical inference on the mean residual life.]

Published: Dec 14, 2013

Keywords: Empirical Likelihood; Residual Life; Accelerate Failure Time Model; Increase Failure Rate; Empirical Likelihood Ratio

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