期刊
SCANDINAVIAN JOURNAL OF STATISTICS
卷 28, 期 2, 页码 283-293出版社
BLACKWELL PUBL LTD
DOI: 10.1111/1467-9469.00237
关键词
central limit theorem for permutation statistics; conditional tests; log rank test; permutation tests; random censored data; survival tests; two-sample tests
It is shown that in the case of heterogenous censoring distributions Studentized survival tests can be carried out as conditional permutation tests given the order statistics and their censoring status. The result is based on a conditional central limit theorem for permutation statistics. It holds for linear test statistics as well as for sup-statistics, The procedure works under one of the following general circumstances for the two-sample problem: the unbalanced sample size case, highly censored data, certain non-convergent weight functions or under alternatives. For instance, the two-sample log rank test can be carried out asymptotically as a conditional test if the relative amount of uncensored observations vanishes asymptotically as long as the number of uncensored observations becomes infinite. Similar results hold whenever the sample sizes n(1) and n(2) are unbalanced in the sense that n(1)/n(2) --> 0 and n(1) --> infinity hold.
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