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Some Characterizations of the Log-Logistic Distribution

Author

Listed:
  • Ahsanullah Mohammad

    (Department of Management Sciences, Rider University, Lawrenceville, New Jersey, USA)

  • Alzaatreh Ayman

    (Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates)

Abstract

The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

Suggested Citation

  • Ahsanullah Mohammad & Alzaatreh Ayman, 2018. "Some Characterizations of the Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 23-29, June.
    • Handle: RePEc:bpj:ecqcon:v:33:y:2018:i:1:p:23-29:n:6
    DOI: 10.1515/eqc-2018-0003
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    References listed on IDEAS

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    1. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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