关于比较两个生存函数的检验与估计问题(英文)

Test and estimate to compare two survival functions (I)

本文基于秩统计量,提出了一种新的分布自由检验,用此可来检验两个生存函数可能存在的交点,如果检验认为交点存在,文中又提出了两种新的点估计与区间估计方法,这些估计量都具有渐近相合性与渐近分布自由性质,本文作了一些模拟显示,文中的检验方法与文献中已有的方法相比具有较高的检验效率。

Based on rank statistics, new distribution-free tests on the crossing point between two distribution functions are proposed. Simulation indicates that the new tests have higher power than tests in the literature. A new point estimate of the crossing point is given and is shown to be strongly consistent and asymptotically normal. Two kinds of asymptotically distribution-free confidence intervals of the crossing point have also been given.This paper is divided to two parts.The first part discusses test and point estimation;The second part discusses confidence interval.