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Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation

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Abstract

In this paper we have obtained the joint probability density function of concomitants of two record values and hence obtained an explicit expression for the product moment of concomitants of two record values arising from Morgenstern family of distributions. Appling this expression for the product moments of concomitants of record values we have derived the best linear unbiased estimators based on concomitants of record values of some parameters involved in Morgenstern type bivariate logistic distribution which is a subfamily of the Morgenstern family of distributions. The efficiencies of these estimators based on the first n concomitants of record values for n≤10 are also obtained.

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Authors and Affiliations

  1. Department of Statistics, University of Kerala, Kariavattom, Trivandrum, Kerala, 695 581, India

    Manoj Chacko & P. Yageen Thomas

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  1. Manoj Chacko
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  2. P. Yageen Thomas
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Correspondence to Manoj Chacko.

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Chacko, M., Thomas, P.Y. Concomitants of Record Values Arising from Morgenstern Type Bivariate Logistic Distribution and Some of their Applications in Parameter Estimation. Metrika 64, 317–331 (2006). https://doi.org/10.1007/s00184-006-0051-1

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  • DOI: https://doi.org/10.1007/s00184-006-0051-1

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