文章基本信息

标题：Discriminating Between Exponential and Lindley Distributions
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作者：V.S. Vaidyanathan ; A Sharon Varghese
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2019
卷号：18
期号：3
页码：295-302
DOI：10.2991/jsta.d.190818.006
语种：English
出版社：Atlantis Press
摘要：In literature, Lindley distribution is considered as an alternate to the exponential distribution. In the present work, a methodology is developed to discriminate between exponential and Lindley distributions based on the ratio of the maximum likelihoods. Asymptotic distribution of the test statistic under the null hypothesis is derived and the minimum sample size required to discriminate between the two distributions for a user specified probability of correct selection is obtained. Numerical illustrations of the methodology are given through simulated and real life data sets.
关键词：Hellinger distance; Lindley distribution; Meijer G-function; Probability of correct selection; Pseudo; Likelihood estimator; Ratio of maximum likelihoods