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可识别性与删失数据AI 解读

It is well known that, without the assumption of independence between two nonnegative random variables X and Y, the survival function of X is not identifiable on the basis of the joint distribution function of Z = min(X, Y) and δ = I(Z = Y). In this paper, we provide a simple condition in the form of conditional distribution of Y given X. We show that our condition is equivalent to the constant‐sum condition proposed by Williams & Lagakos (1977). As a result the survival…

生存分布在指定年龄下的“新优于旧”性质检验AI 解读

The cumulative distribution function F, of a nonnegative random variable, is said to be new better than used of specified age t0 if F¯(x+t0)≤F¯(x)F¯(t0) for all x≥0⁠, where F¯=1-FLet We propose a class of test statistics Tk, indexed by a positive integer k, for testing the null hypothesis that F belongs to A against the alternative hypothesis that F is new better than used of specified age t0 but not in A. We compare the performance of our proposed test statistics with the…