文章基本信息

标题：The Atkinson Index, the Moran Statistic, and Testing Exponentiality
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作者：Nao Mimoto ; Ričardas Zitikis
期刊名称：JOURNAL OF THE JAPAN STATISTICAL SOCIETY
印刷版ISSN：1882-2754
电子版ISSN：1348-6365
出版年度：2008
卷号：38
期号：2
页码：187-205
DOI：10.14490/jjss.38.187
出版社：JAPAN STATISTICAL SOCIETY
摘要：Constructing tests for exponentiality has been an active and fruitful research area, with numerous applications in engineering, biology and other sciences concerned with life-time data. In the present paper, we construct and investigate powerful tests for exponentiality based on two well known quantities: the Atkinson index and the Moran statistic. We provide an extensive study of the performance of the tests and compare them with those already available in the literature.
关键词：Asymptotic normality;Atkinson index;Carleman condition;consistency;economic inequality;exponential distribution;Kullback-Leibler distance;Moran statistic;nonparametric inference;parametric inference