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利用随机删失数据检验寿命分布的“新优于旧”性质AI 解读

Under a model of random censorship, we consider the test $H_0$: a life distribution is exponential, versus $H_1$: it is new better than used, but not exponential. This paper introduces a class of tests by using the Kaplan-Meier estimator for the sample distribution in the uncensored model. Under some regularity conditions, the asymptotic normality of statistics is derived by an application of von Mises' method, and asymptotically valid tests are obtained by using estimators…

随机删失下预期寿命估计量的一则注记AI 解读

Yang (1977) proposed an estimator of life expectancy based on the Kaplan—Meier estimator under a random censorship model. This note shows that this estimator, considered as a function of age, converges weakly to a Gaussian process on the whole line. A consistent estimator of the variance function of this limiting process is given and asymptotic confidence bands for the life expectancy are discussed.