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Concomitants of Order Statistics and Record Values from Morgenstern Type Bivariate-Generalized Exponential Distribution

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Abstract

In this paper, we introduce the Morgenstern type bivariate-generalized exponential distribution. This distribution is an extension of Morgenstern type bivariate exponential distribution (MTBED), and the marginal distributions are generalized exponential distribution. We study some properties of this bivariate distribution. Also, some distributional properties of concomitants of order statistics as well as record values for the MTBED are studied. Recurrence relations between moments of concomitants are also obtained.

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Acknowledgments

The authors would like to thank the BMMSS editor and the anonymous referees for their constructive comments and suggestions that appreciably improved the quality of presentation of this manuscript.

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Authors and Affiliations

  1. Department of Statistics, Persian Gulf University, Bushehr, Iran

    S. Tahmasebi

  2. Department of Statistics, Yazd University, Yazd, Iran

    A. A Jafari

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  1. S. Tahmasebi
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  2. A. A Jafari
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Correspondence to S. Tahmasebi.

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Communicated by Ataharul M. Islam.

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Tahmasebi, S., Jafari, A.A. Concomitants of Order Statistics and Record Values from Morgenstern Type Bivariate-Generalized Exponential Distribution. Bull. Malays. Math. Sci. Soc. 38, 1411–1423 (2015). https://doi.org/10.1007/s40840-014-0087-8

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  • DOI: https://doi.org/10.1007/s40840-014-0087-8

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