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Concomitants of k-record values arising from Morgenstern family of distributions and their applications in parameter estimation

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  • Manoj Chacko
  • M. Shy Mary

Abstract

In this paper, we have obtained the marginal and joint distributions of concomitants of k-record values for the Morgenstern family of distributions (MFD) and hence obtained the moments and product moments of concomitants of k-record values. Applying this results we have derived the best linear unbiased estimators of some parameters involved in Morgenstern type bivariate logistic distribution which belongs to MFD based on concomitants of k-record values. Copyright Springer-Verlag 2013

Suggested Citation

  • Manoj Chacko & M. Shy Mary, 2013. "Concomitants of k-record values arising from Morgenstern family of distributions and their applications in parameter estimation," Statistical Papers, Springer, vol. 54(1), pages 21-46, February.
    • Handle: RePEc:spr:stpapr:v:54:y:2013:i:1:p:21-46
    DOI: 10.1007/s00362-011-0409-y
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    References listed on IDEAS

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    1. Manoj Chacko & P. Thomas, 2006. "Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(3), pages 317-331, December.
    2. Manoj Chacko & P. Thomas, 2008. "Estimation of parameters of bivariate normal distribution using concomitants of record values," Statistical Papers, Springer, vol. 49(2), pages 263-275, April.
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    Cited by:

    1. Mohamed A. Abd Elgawad & Haroon M. Barakat & Metwally A. Alawady & Doaa A. Abd El-Rahman & Islam A. Husseiny & Atef F. Hashem & Naif Alotaibi, 2023. "Extropy and Some of Its More Recent Related Measures for Concomitants of K -Record Values in an Extended FGM Family," Mathematics, MDPI, vol. 11(24), pages 1-25, December.

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