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Two-sample empirical likelihood method for right censored data

delete2025-09-01
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PRE
AI
L
Leonora Pahirko *
J
Jānis Valeinis
D
Deivids Jēkabsons
DOI:10.1515/ijb-2024-0120delete
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Abstract

Abstract

En 中文
In this paper, a two-sample empirical likelihood method for right censored data is established. This method allows for comparisons between various functionals of survival distributions, such as mean lifetimes, survival probabilities at a fixed time, restricted mean survival times, and other parameters of interest. It is demonstrated that under some regularity conditions, the scaled empirical likelihood statistic converges to a chi-squared distributed random variable with one degree of freedom. A consistent estimator for the scaling constant is proposed, involving the jackknife estimator of the asymptotic variance of the Kaplan-Meier integral. A simulation study is carried out to investigate the coverage accuracy of confidence intervals. Finally, two real datasets are analyzed to illustrate the application of the proposed method.
Keywords:
empirical likelihood
two-sample problems
survival analysis
right censored data
plug-in estimator
confidence intervals

Journal

I
INTERNATIONAL JOURNAL OF BIOSTATISTICS
IF:
1.2
Papers:
15
Citations:
0

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