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Characterizations of the pareto distribution based on order statistics

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Stability Problems for Stochastic Models

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1546))

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References

  1. M. Ahsanullah, A characterization of the exponential distribution, in: Statistical Distributions in Scientific Work, D. Reidel, Dordrecht, 3 (1975), pp. 399–421.

    Google Scholar 

  2. M. Ahsanullah, and A. B. M. Kabir, A characterization of the Pareto distribution, Canad. Stat. J., 1 (1973), pp. 109–112.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Ahsanullah, and R. L. Houchens, A note on record values from a Pareto distribution, Pakist. Stat. J., 5 (1989), pp. 51–57.

    MathSciNet  MATH  Google Scholar 

  4. A. C. Dallas, Characterizing the Pareto and power distributions, Ann. Math. Stat., 28 (1976), pp. 491–497.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. M. Dezu, A characterization of the exponential distribution by order statistics, Ann. Math. Stat., 42 (1971), pp. 837–838.

    Article  Google Scholar 

  6. C. Dimaki, A Characterization and Estimation Procedures for the Continuous Pareto Distributions, Univ. Warwick Pubb., England, 1977.

    Google Scholar 

  7. C. Dimaki, Characterization of the Pareto Distribution, in: Proc. of the 2nd Nat. Meet. of the Greek Stat. Inst., Athens, 1988. (In Greek.)

    Google Scholar 

  8. C. Dimaki, Some characterization of the Pareto distribution by order statistics, in: Sci. Ann., Athens Scool Econom. Busin. Sci. Pubb., Athens, 1988.

    Google Scholar 

  9. T. S. Ferguson, On characterizing distributions by properies of order statistics, Sankhyá, 29 A (1967), pp. 265–278.

    MathSciNet  MATH  Google Scholar 

  10. J. Galambos, Characterization of certain populations by in independence of order statistics I, in: Statistical Distributions in Scientific Work, D. Reidel, Dordiecht, 1975.

    Google Scholar 

  11. Z. Govindarajulu, Characterization of the exponential and prower distribution, Scand. Actur. J., 49 (1966), pp. 132–136.

    Article  MathSciNet  Google Scholar 

  12. Z. Govindarajulu, Characterization of the exponential distribution using lower moments of order statistics, in: Statistical Distributions in Scientific Work, D. Reidel, Dordrecht, 3 (1975), pp. 399–421.

    Google Scholar 

  13. J. S. Huang, A note on order statistics from a Pareto distribution, Scand. Actur. J. 3 (1975), pp. 187–190.

    Article  MathSciNet  MATH  Google Scholar 

  14. G.-D. Lin, Characterization of distributions via relationships between ywo moments of order statistics, J. Stat. Plan. and Infer., 19 (1988), pp. 73–80.

    Article  Google Scholar 

  15. H. J. Malik, A characterization of the Pareto distribution, Scand. Aktur. J., 53 (1970), pp. 115–117.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Panaretos, On astructure property of finite distributions, J. R. Stat. Soc., 26 B (1982), pp. 209–211.

    MathSciNet  MATH  Google Scholar 

  17. G. P. Patil and V. Seshadri, Characterization theorems for some univariate probability distributions, J. R. Stat. Soc., 26 B (1964), pp. 286–292.

    MathSciNet  MATH  Google Scholar 

  18. G. S. Rogers, An alternative proof of the characterization of the density ax b, Amer. Math. Monthly, 70 (1963), pp. 857–858.

    Article  MathSciNet  MATH  Google Scholar 

  19. M. Samanta, Characterization of Pareto's distribution and (k+1)x k/θk+1, Ann. Math. Stat., 36 (1965), pp. 361–362.

    Google Scholar 

  20. Y. H. Wang and R. C. Srivastava, A characterization of the exponential and related distributions by linear regression, Ann. Stat., 8 (1980), pp. 217–220.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Dept. of Stat, Athens Univ. of Econom, 76 Patision Street Athens, 10434, Greece

    Caterina Dimaki & Evdokia Xekalaki

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  1. Caterina Dimaki
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  2. Evdokia Xekalaki
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Vladimir V. Kalashnikov Vladimir M. Zolatarev

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© 1993 Springer-Verlag

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Dimaki, C., Xekalaki, E. (1993). Characterizations of the pareto distribution based on order statistics. In: Kalashnikov, V.V., Zolatarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084477

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  • DOI: https://doi.org/10.1007/BFb0084477

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56744-8

  • Online ISBN: 978-3-540-47645-0

  • eBook Packages: Springer Book Archive

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