截尾数据下矩生成函数的非参数递归核型估计

S. Bouzebda, I. Elhattab, Y. Slaoui, Nourelhouda Taachouche
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摘要

本文主要讨论矩生成函数的核估计。更准确地说,我们建立了在一些温和条件下,在截尾数据集上的矩生成函数的非参数递推核型估计的偏置和方差的中心极限定理。最后,我们通过一个简短的模拟研究来研究该方法在小样本情况下的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonparametric Recursive Kernel Type Eestimators for the Moment Generating Function Under Censored Data
We are mainly concerned with kernel-type estimators for the moment-generating function in the present paper. More precisely, we establish the central limit theorem with the characterization of the bias and the variance for the nonparametric recursive kernel-type estimators for the moment-generating function under some mild conditions in the censored data setting. Finally, we investigate the methodology’s performance for small samples through a short simulation study.
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