Characterizations of the logistic and related distributions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:463

Article

Hu, Chin-Yuan¹  Lin, Gwo Dong² 

[1] Natl Changhua Univ Educ, Dept Business Educ, Changhua 50058, Taiwan

[2] Acad Sinica, Inst Stat Sci, Taipei 11529, Taiwan

关键词: Characterization;    Order statistics;    Stochastic order;    Logistic distribution;    Exponential distribution;    Pareto type II distribution;   

DOI  :  10.1016/j.jmaa.2018.03.003

来源: Elsevier

【 摘 要 】

It is known that few characterization results of the logistic distribution were available before, although it is similar in shape to the normal one whose characteristic properties have been well investigated. Fortunately, in the last decade, several authors have made great progress in this topic. Some interesting characterization results of the logistic distribution have been developed recently. In this paper, we further provide some new results by the distributional equalities in terms of order statistics of the underlying distribution and the random exponential shifts. The characterization of the closely related Pareto type II distribution is also investigated. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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