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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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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.

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Authors and Affiliations

  1. Department of Statistics, University of Kerala, Trivandrum, Kerala, 695581, India

    Manoj Chacko & M. Shy Mary

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  1. Manoj Chacko
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  2. M. Shy Mary
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Correspondence to Manoj Chacko.

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Chacko, M., Shy Mary, M. Concomitants of k-record values arising from Morgenstern family of distributions and their applications in parameter estimation. Stat Papers 54, 21–46 (2013). https://doi.org/10.1007/s00362-011-0409-y

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  • DOI: https://doi.org/10.1007/s00362-011-0409-y

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