Characterizations of Logistic Distribution through Order Statistics with Independent Exponential Shifts

2011/12/16 by Mohammad Ahsanullah, Ahsanullah, M., George P. Yanev +3
Decision Sciences · Mathematics · #62E10 #62G30 #FOS: Mathematics #Probabilistic and Robust Engineering Design #Probability (math.PR) #Probability and Risk Models #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1112.3982

openalex publication_date 2011/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper presents some distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts. Utilizing these properties, we extend several known results and obtain some new characterizations of the logistic distribution.

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