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OALib Journal期刊
ISSN: 2333-9721
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ASYMPTOTIC PROPERTIES OF THE ESTIMATION OF A GENERAL CLASS OF VON-MISES TYPE FUNCTIONALS UNDER TRUNCATED AND CENSORED DATA
左截断右删失下一类泛函估计的渐近性质

Keywords: Left truncated and right censored data,Von-Mises type functionals,strong approximation,almost sure representation,asymptotic normality,law of iterated logarithm
左截断右删失
,Von-Mises泛函估计,U-统计量,渐近正态性

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Abstract:

This paper deals with the estimation of a general class of Von-Mises type functionals of the survival function based on left 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.

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