Abstract
SYNOPTIC ABSTRACTA relation between the negative binomial and the negative hypergeometric distributions based on conditional distributions is proved. This relation allows to compute the critical value of an UMPU level a test concerning the comparison of probabilities of success in the one-sided case based on observed waiting times and to determine a UMVU estimator of the density of a negative binomial distribution in terms of a negative hypergeometric distribution. Moreover, some aspects of renewal theory are discussed.
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