On a sequential subset selection procedure for the least probable multinomial cell |
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Authors: | Pinyucen Chen Lifang Hsu |
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Affiliation: | 1. Department of Mathematics , Syracuse University , Syracuse, NY, 13244-1150;2. Department of Mathematics , LeMoyne College , Syracuse, NY, 13214 |
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Abstract: | This paper studies a sequential procedure R for selecting a random size subset that contains the multinomial cell which has the smallest cell probability. The stopping rule of the proposed procedure R is the composite of the stopping rules of curtailed sampling, inverse sampling, and the Ramey-Alam sampling. A reslut on the worst configuration is shown and it is employed in computing the procedure parameters that guarantee certain probability requirements. Tables of these procedure parameters, the corresponding probability of correct selection, the expected sample size, and the expected subset size are given for comparison purpose. |
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Keywords: | Curtailed sampling inverse sampling Stopping rule worst configuration |
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