Characterization of probability distributions based on a generalized Rao-Rubin condition

Rao, C. R. ; Talwalker, Sheela ; Srivastava, R. C. ; Edgar, Gerald A. (1980) Characterization of probability distributions based on a generalized Rao-Rubin condition Sankhya, 42 (3-4). pp. 161-169. ISSN 0972-7671

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Abstract

This paper presents a simple solution to the problem of characterzing the distribution of a non-degenerate, non-negative, integral valued Z, subjected to a destructive process when the damage model is binomial and when the Generalized Rao-Rubin condition holds true, namely, Pr(X=r|π1)=Pr(X=r|Y=0,π2,0<π12<1,Z=X+Y,X and Y are independent r.v.s.

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