文章基本信息

标题：Goodness-of-fit Tests For The Logistic Distribution Based on Empirical Transforms
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作者：Simos G. Meintanis, National ; Kapodistrian University of Athens, Greece
期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2004
卷号：66
期号：02
出版社：Indian Statistical Institute
摘要：In this paper goodness-of-fit tests for the logistic distribution are proposed that are based on weighted integrals involving empirical transforms. The consistency of the test based on the empirical characteristic function as well as its asymptotic distribution under the null hypothesis are investigated. In a particular case, as the decay of the weight function tends to infinity the test statistic approaches a limit value. The resulting limit statistic is related to the first nonzero component of Neyman's smooth test for this distribution. The new tests are compared with other omnibus tests for the logistic distribution
关键词：Logistic distribution, goodness-of-fit test, empirical characteristic function, empirical moment generating function, test. smooth.