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不同假设族之间检验的若干结果AI 解读

Tests of the log normal distribution versus the exponential distribution were proposed by Cox (1961, 1962), who gave their large-sample distributions. We investigate the adequacy of the asymptotic results and give power functions of the tests. We then use Cox's general results to derive tests for the log normal distribution versus the gamma distribution. Finally, we compare the performance of the separate family tests of the exponential versus the log normal distribution…

偏离指数分布的分析AI 解读

Summary A test for a Poisson process based on ordered sample values is proposed and its distribution and other properties derived. The test statistic is shown to be asymptotically normal and some further approximations to its distribution are investigated. The asymptotic relative efficiency of the test with respect to the asymptotically most powerful test against the alternative of gamma-distributed intervals is derived. Finally, a test for an incomplete sample is outlined.