Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data
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چکیده
منابع مشابه
Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data
It has been shown that (with complete data) empirical likelihood ratios can be used to form con dence intervals and test hypothesis about a linear functional of the distribution function just like the parametric case. We study here the empirical likelihood ratios for right censored data and with parameters that are linear functionals of the cumulative hazard function. Martingale techniques make...
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In medical studies, it is often of scientific interest to evaluate the treatment effect via the ratio of cumulative hazards, especially when those hazards may be nonproportional. To deal with nonproportionality in the Cox regression model, investigators usually assume that the treatment effect has some functional form. However, to do so may create a model misspecification problem because it is ...
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The empirical likelihood ratio method is a general nonparametric inference procedure that has many desirable properties. Recently, the procedure has been generalized to several settings including testing of weighted means with right censored data. However, the computation of the empirical likelihood ratio with censored data and other complex settings is often non-trivial. We propose to use a se...
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Qin and Lawless (1994) studied the empirical likelihood method with general estimating equations. They obtained very nice asymptotic properties especially when the number of estimation equations exceeds the number of parameters (over determined case). We study here a parallel setup to Qin and Lawless but uses a hazard-type estimating equations. The empirical likelihood we use here is also formu...
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Owen (1988, 1990) constructed a confidence interval for a general functional without censoring. Linear functional of cumulative hazard function provides a flexible choice for medical researchers to assess effectiveness of treatments, which include (a) partial mean lifetime, (b) distribution function, and (c) cumulative hazard function. In this article, we consider two linear functionals of cumu...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2002
ISSN: 0047-259X
DOI: 10.1006/jmva.2000.1977