Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series B, Pt. 2, 171--185

ON THE BAYES ESTIMATORS OF THE PROBABILITY OF "SUCCESS" AND RELIABILITY FUNCTION OF THE ZERO-TRUNCATED BINOMIAL AND NEGATIVE BINOMIAL DISTRIBUTIONS

By

A. KYRIAKOUSSIS, *University of Athens*

And

ALEX S. PAPADOPOULOS, *University of North Carolina at Charlotte*

SUMMARY. In the present paper Bayes estimators for the probability of "success" and the reliability function of the zero-truncated, binomial and negative binomial distributions, are obtained. Furthermore, recurrence relations for the estimators of the probability of "success" are also derived.

*AMS (1990) subject classification.* 62F15, 62C10

*Key words and phrases*. Zero-truncated binomial and negative binomial distributions, reliability function, Bayes estimator, recurrence relation