左截断右删失下一类泛函估计的渐近性质

孙六全;郑忠国

系统科学与数学 ›› 1999, Vol. 19 ›› Issue (1) : 95-105.

PDF(419 KB)
PDF(419 KB)
系统科学与数学 ›› 1999, Vol. 19 ›› Issue (1) : 95-105. DOI: 10.12341/jssms09850
论文

左截断右删失下一类泛函估计的渐近性质

    孙六全(1),郑忠国(2)
作者信息 +

ASYMPTOTIC PROPERTIES OF THE ESTIMATION OF A GENERAL CLASS OF VON-MISES TYPE FUNCTIONALS UNDER TRUNCATED AND CENSORED DATA

    Liu Quan SUN,Zhong Guo ZHENG
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文章历史 +

摘要

在左截断右删失下,本文讨论了一类广义Von-Mises泛函估计的渐近性质.在一定条件下,得到了此类泛函估计的强逼近和U-统计量表示,并由此得出它的强相合性、渐近正态性及重对数律.

Abstract

This paper deals with the estimation of a general class of Von-Mises type functionals of the survival function based on left under truncated and right censored data. The strong approximation and an almost sure asymptotic representation are obtained under some conditions. In addition, the asymptotic normality, strong consistency and the law of iterated logarithm for the estimator are established.

关键词

左截断右删失 / Von-Mises泛函估计 / U-统计量

Key words

Left truncated and right censored data / Von-Mises type functionals / strong approximation

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导出引用
孙六全 , 郑忠国. 左截断右删失下一类泛函估计的渐近性质. 系统科学与数学, 1999, 19(1): 95-105. https://doi.org/10.12341/jssms09850
Liu Quan SUN , Zhong Guo ZHENG. ASYMPTOTIC PROPERTIES OF THE ESTIMATION OF A GENERAL CLASS OF VON-MISES TYPE FUNCTIONALS UNDER TRUNCATED AND CENSORED DATA. Journal of Systems Science and Mathematical Sciences, 1999, 19(1): 95-105 https://doi.org/10.12341/jssms09850
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