文章基本信息

标题：Estimation of P(X>Y) for the Positive Exponential Family of Distributions
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作者：Ajit Chaturvedi ; Ananya Malhotra
期刊名称：Statistica
印刷版ISSN：1973-2201
出版年度：2018
卷号：78
期号：2
页码：149-167
DOI：10.6092/issn.1973-2201/7249
语种：English
出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：A positive exponential family of distributions is taken into consideration. Two measures of reliability are discussed. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are developed for the reliability functions. In addition to the UMVUES and MLES, we derive the method of moment estimators (MOME). The performances of two types of estimators are compared through Monte Carlo simulation.
其他关键词：Positive exponential family of distribution;Point estimation;Uniformly minimum variance unbiased estimator;Maximum likelihood estimator;Method of moment estimators;Monte Carlo simulation