高维随机截尾数据的PP拟合优度检验

PP GOODNESS-OF-FIT TEST FOR RANDOMLY CENSORED MULTIVARIATE DATA

关于一维删截数据的拟合优度检验，已有相当多的文献，但高维截尾数据的拟合优度检验尚不多见．本文用PP技巧讨论了高维截尾数据的拟合优度检验，得到了检验统计量的渐近分布，并讨论了其Bootstrap逼近及逼近的相容性和检验的渐近功效．

In this paper, a PP goodness-of-fit test for randomly censored multivariatedata with the censoring distribution known is proposed. The asymptotic distribution of thetest statistics under null hypothesis is derived, and its bootstrap approximation is discussed.