Asymptotic normality for weighted estimator of conditional density with truncated and censored data

Yu-Xiao Liu, Chang-Sheng Liu and Han-Ying Liang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 17, 5626-5653

Abstract: We, in this article, construct a weighted estimator of conditional density for a left-truncated and right-censored model by using empirical likelihood idea. When observations are assumed to be a stationary α-mixing sequence, we study consistency with rate and asymptotic normality of the weighted estimator. Also, a Berry-Esseen type bound for the weighted estimator is established. Simulation study is done to evaluate the performance of the proposed methods.

Date: 2025
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DOI: 10.1080/03610926.2024.2441410

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