Sankhya: The Indian Journal of Statistics

1995, Volume 57, Series A, Pt. 3, pp. 500--503

 CHARACTERIZATION THROUGH THE CONDITIONAL EXPECTION OF A FUNTION OF THE ORDER STATISTIC RELATIVE TO AN ADJACENT ONE

By

  L. Y. OUYANG, Tamkang University

SUMMARY.   In the present note, we point out a generalization of implicit in the work of Ferguson (1967) and a dual thereof pointed out in Nagaraja (1988). We indicate special choices of the basic function which correspond to familiar probability distributions.

AMS (1991) subject classification.   Primary 62E10, secondary 62G30.

Key words and phrases. Characterization, order statistics, conditional expectation.

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