A fixed sample size selection procedure for negative binomial populations.

*(English)*Zbl 0764.62023Summary: A fixed sample size procedure for selecting the ‘best’ of \(k\) negative binomial populations is developed. Selection is made in such a way that the probability of correct selection is at least \(P^*\) whenever the distance between the probabilities of success is at least \(\delta^*\). The exponent \(r\) is assumed to be known and the same for all populations. Extensive computer calculations were employed to obtain the exact least favorable configuration. The smallest sample sizes needed to meet specifications \((P^*,\delta^*)\) are tabulated for \(r=1(1)5\); \(\delta^*=0.05(0.05)0.55\) and \(P^*=0.75,0.80,0.90,0.95,0.98,0.99\) involving \(k=3(1)6,8,10\) populations.

##### Keywords:

selection procedure; indifference zone approach; fixed sample size procedure; negative binomial populations; probability of correct selection; exact least favorable configuration; smallest sample sizes
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\textit{M. S. Mulekar} and \textit{L. J. Young}, Metrika 40, No. 1, 25--35 (1993; Zbl 0764.62023)

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