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On characterizing distributions by conditional expectations of functions of order statistics

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Abstract

In the present paper, we give some general theorems on characterizations based on conditional expectations of the functions of order statistics. In addition, we indicate special forms of the theorems for the familiar probability distributions.

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References

  • Beg MI, Balasubramanian K (1990) Distributions determined by conditioning on a single order statistic. Metrika 37:37–43

    Article  MATH  MathSciNet  Google Scholar 

  • David HA (1981) Order statistics. 2nd ED John Wiley New York

    MATH  Google Scholar 

  • Ferguson TS (1967) On characterizing distributions by properties of order statistics. Sankhyā Ser A 29:265–278

    MATH  MathSciNet  Google Scholar 

  • Nagaraja HN (1988) Some characterizations of continuous distributions based on regressions of adjacent order statistics and record values. Sankhyā Ser A 50:70–73

    MATH  MathSciNet  Google Scholar 

  • Ouyang LY (1987) On characterizations of probability distributions based on conditional expected values. Tamkang J Math 18(1):113–122

    MATH  MathSciNet  Google Scholar 

  • Ouyang LY (1994) Characterizations through the conditional distribution of a function of one order statistic relative to an adjacent one. Accepted in Sankhyā Ser A

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Wu, JW., Ouyang, L.Y. On characterizing distributions by conditional expectations of functions of order statistics. Metrika 43, 135–147 (1996). https://doi.org/10.1007/BF02613903

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  • DOI: https://doi.org/10.1007/BF02613903

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