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Approximations for a fixed sample size selection procedure for negative binomial populations |
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| Authors: | Madhuri S Mulekar Linda J Young |
| Institution: | 1. Department of Statistics , Oklahoma State University , Stillwater, OK, 74078;2. Dept. of Math. &3. Stat , Univ. of South Alabama , Present address;4. Dept. of Biometry , Univ. of Nebraska-Lincoln , Present address |
| Abstract: | A large sample approximation of the least favorable configuration for a fixed sample size selection procedure for negative binomial populations is proposed. A normal approximation of the selection procedure is also presented. Optimal sample sizes required to be drawn from each population and the bounds for the sample sizes are tabulated. Sample sizes obtained using the approximate least favorable configuration are compared with those obtained using the exact least favorable configuration. Alternate form of the normal approximation to the probability of correct selection is also presented. The relation between the required sample size and the number of populations involved is studied. |
| Keywords: | negative binomial populations selection procedure least favorable configuration normal approximation Hermite polynomials approximate least favorable configuration |