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Measures of information in order statistics and their concomitants for the single iterated Farlie–Gumbel–Morgenstern bivariate distribution

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  • Haroon M. Barakat
  • El-Sayed M. Nigm
  • Islam A. Husseiny

Abstract

The Fisher information matrix related to an order statistic and its concomitant used to order a bivariate random sample are obtained in the case of the shape-parameter vector of an iterated Farlie–Gumbel–Morgenstern bivariate distribution. They contain information conveyed by singly or multiply censored bivariate samples drawn from an iterated Farlie–Gumbel–Morgenstern bivariate distribution. Fisher information is computed for the mean of the exponential distribution in the concomitant of an order statistic. Shannon entropy in the order statistics and their concomitants based on the iterated Farlie–Gumbel–Morgenstern bivariate distribution are derived.

Suggested Citation

  • Haroon M. Barakat & El-Sayed M. Nigm & Islam A. Husseiny, 2021. "Measures of information in order statistics and their concomitants for the single iterated Farlie–Gumbel–Morgenstern bivariate distribution," Mathematical Population Studies, Taylor & Francis Journals, vol. 28(3), pages 154-175, July.
    • Handle: RePEc:taf:mpopst:v:28:y:2021:i:3:p:154-175
    DOI: 10.1080/08898480.2020.1767926
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    Cited by:

    1. Islam A. Husseiny & Metwally A. Alawady & Salem A. Alyami & Mohamed A. Abd Elgawad, 2023. "Measures of Extropy Based on Concomitants of Generalized Order Statistics under a General Framework from Iterated Morgenstern Family," Mathematics, MDPI, vol. 11(6), pages 1-17, March.

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