Empirical likelihood inference for semi-parametric transformation models with length-biased sampling

Xue Yu and Yichuan Zhao

Computational Statistics & Data Analysis, 2019, vol. 132, issue C, 115-125

Abstract: The semi-parametric transformation models under length-biased sampling are considered. The well-known proportional hazards model and proportional odds model are special cases of the semi-parametric transformation models. Empirical likelihood and adjusted empirical likelihood inferences for semi-parametric transformation models with length-biased sampling are proposed, and the empirical log-likelihood ratio test statistic is shown to converge to a standard chi-squared distribution. In addition, statistical inferences for the regression parameters are made based on the results. Moreover, extensive simulation studies are carried out. Finally, a real data set is analyzed to illustrate the proposed empirical likelihood and adjusted empirical likelihood methods.

Keywords: Semi-parametric transformation models; Length-biased data; Empirical likelihood (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:132:y:2019:i:c:p:115-125

DOI: 10.1016/j.csda.2018.10.012

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