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Selecting among the multinomial losers

 

作者: Pinyuen Chen,   S Panchapakesan,   Milton Sobel,  

 

期刊: Sequential Analysis  (Taylor Available online 1994)
卷期: Volume 13, issue 3  

页码: 117-200

 

ISSN:0747-4946

 

年代: 1994

 

DOI:10.1080/07474949408836303

 

出版商: Marcel Dekker, Inc.

 

关键词: inverse sampling procedure;least favorable configuration;multinomial distribution;slippage configuration;selecting a subset containing the best cell

 

数据来源: Taylor

 

摘要:

In a multinomial setting with a fixed number k of cells. the problem of screening out cells to find the "best" cell, i.e., the one with the smallest cell probability, or looking for a (small) subset of cells containing the best cell is revisited. An inverse sampling procedure is used, unlike past work on this problem ([l], [2], [3], and [4]). Finding the cell with the smallest cell probability is clearly more difficult than finding the one with the argest cell probability. The proposed procedure takes one observation at a time (as usual) and igns a zero to all those (and only those) k - 1 cells into which the observation does not fall Sampling continues sequentially and stops as soon as any one cell has accumulated r zeros.

 

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