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系统科学与数学 1999
ASYMPTOTIC PROPERTIES OF THE ESTIMATION OF A GENERAL CLASS OF VON-MISES TYPE FUNCTIONALS UNDER TRUNCATED AND CENSORED DATA
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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.