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Properties on Concomitants of Generalized Order Statistics from a Bivariate Rayleigh Distribution

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Abstract

The concept of generalized order statistics (gos) has been introduced as a unified models of ordered random variables. In this paper, we find some properties on concomitants of gos in Morgenstern type bivariate Rayleigh distribution (MTBRD). Recurrence relations between moments of concomitants are also obtained. Some properties of joint distributions for concomitants of gos are presented. Finally, we have derived the best linear unbiased estimator based on concomitants of record values for a parameter involved in MTBRD.

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References

  1. Ahsanullah, M.: Generalized order statistics from exponential distribution. J. Stat. Plan. Inference 85, 85–91 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ahsanullah, M., Beg, M.I.: Concomitant of generalized order statistics in gumbel’s bivariate exponential distribution. J. Stat. Theory Appl. 6(2), 118–132 (2006)

    MathSciNet  Google Scholar 

  3. Ahsanullah, M., Nevzorov, B.V., Shakil, M.: An Introduction to Order Statistics. Springer, New York (2013)

    Book  MATH  Google Scholar 

  4. Arslan, G.: On a characterization of the uniform distribution by generalized order statistics. J. Comput. Appl. Math. 235(16), 4532–4536 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. Barakat, H.M., Nigm, E.M., Elsawah, A.M.: Asymptotic distributions of the generalized and the dual generalized extremal quotient. Bull. Malays. Math. Sci. Soc. 36(3), 657–670 (2013)

    MathSciNet  MATH  Google Scholar 

  6. Beg, M.I., Ahsanullah, M.: Concomitants of generalized order statistics from Farlie–Gumbel–Morgenstern distributions. Stat. Methodol. 5(1), 1–20 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. BuHamra, S., Ahsanullah, M.: Fisher Information in concomitants of generalized order statistics in Farlie–Gubmel–Morgenstern distributions. J. Stat. Theory Appl. 4(4), 387–399 (2005)

    MathSciNet  Google Scholar 

  8. BuHamra, S., Ahsanullah, M.: On Concomitants of bivariate Farlie–Gubmel–Morgenstern distributions. Pak. J. Stat. 29(4), 453–466 (2013)

    Google Scholar 

  9. David, H.A., Nagaraja, H.: Order Statistics. Wiley, New York (2003)

    Book  MATH  Google Scholar 

  10. Kamps, U.: A Concept of Generalized Order Statistics. B.G. Teubner, Stuttgart (1995)

    Book  MATH  Google Scholar 

  11. Morgenstern, D.: Einfache beispiele zweidimensionaler verteilungen. Mitteilingsblatt für Math. Stat. 8(1), 234–235 (1956)

    MathSciNet  MATH  Google Scholar 

  12. Tahmasebi, S., Behboodian, J.: Shannon information for concomitants of generalized order statistics in Farlie–Gumbel–Morgenstern (FGM) family. Bull. Malays. Math. Sci. Soc. 35(4), 975–981 (2012)

    MathSciNet  MATH  Google Scholar 

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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

  3. Department of Management Sciences, Rider University, Lawrenceville, NJ, 08648, USA

    M. Ahsanullah

Authors
  1. S. Tahmasebi
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  2. A. A. Jafari
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  3. M. Ahsanullah
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Correspondence to S. Tahmasebi.

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Communicated by Prof. Rosihan M. Ali.

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Tahmasebi, S., Jafari, A.A. & Ahsanullah, M. Properties on Concomitants of Generalized Order Statistics from a Bivariate Rayleigh Distribution. Bull. Malays. Math. Sci. Soc. 41, 355–370 (2018). https://doi.org/10.1007/s40840-015-0297-8

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  • DOI: https://doi.org/10.1007/s40840-015-0297-8

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