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Abstract
Selection problems in a multinomial distribution with inverse sampling are considered. Two goals are studied, goal I is selecting the most probable cell and the second most probable cells, and goal II is selecting the least probable cell and the second least probable cell. Indifference zone formulation is used and the measure of distance is the ratio of corresponding cell probabilities. Type-2 Dirichlet integrals are used (i) to express the probability of a correct selection as an integral with parameters only in the limits of integration, and (ii) to obtain the least favorable configuration.
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