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Characterizations of Logistic Distribution Through Order Statistics with Independent Exponential Shifts

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  • Ahsanullah Mohammad

    (Department of Management Sciences, Rider University, 2083 Lawrenceville Road, Lawrenceville, NJ 08648, USA)

  • Yanev George P.

    (Department of Mathematics, University of Texas – Pan American, 1201 West University Drive, Edinburg, TX 78539, USA)

  • Onica Constantin

    (Department of Mathematics, University of Texas – Pan American, 1201 West University Drive, Edinburg, TX 78539, USA)

Abstract

Distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts are established. Utilizing these properties, we extend several known results and obtain new characterizations of the logistic distribution.

Suggested Citation

  • Ahsanullah Mohammad & Yanev George P. & Onica Constantin, 2012. "Characterizations of Logistic Distribution Through Order Statistics with Independent Exponential Shifts," Stochastics and Quality Control, De Gruyter, vol. 27(1), pages 85-96, September.
    • Handle: RePEc:bpj:ecqcon:v:27:y:2012:i:1:p:85-96:n:4
    DOI: 10.1515/eqc-2012-0004
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    References listed on IDEAS

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    1. Jacek WesoŁowski & Mohammad Ahsanullah, 2004. "Switching Order Statistics through Random Power Contractions," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 297-303, June.
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