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Mathematics > Statistics Theory

Title: Characterizations of the Logistic and Related Distributions

Abstract: 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.
Comments: 17 pages, Journal of Mathematical Analysis and Applications (2018)
Subjects: Statistics Theory (math.ST); Probability (math.PR)
MSC classes: 62E10, 62G30, 60E10
DOI: 10.1016/j.jmaa.2018.03.003
Cite as: arXiv:1803.06620 [math.ST]
  (or arXiv:1803.06620v1 [math.ST] for this version)

Submission history

From: Gwo Dong Lin [view email]
[v1] Sun, 18 Mar 2018 07:35:29 GMT (11kb)