Journal of the Korean Statistical Society
- Volume 18 Issue 1
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- Pages.26-37
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- 1989
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- 1226-3192(pISSN)
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- 2005-2863(eISSN)
A Lower Confidence Bound on the Probability of a Correct Selection of the t Best Populations
- Jeong, Gyu-Jin (Department of Applied Statistics, Hannam University, Daejeon, 301-060) ;
- Kim, Woo-Chul (Department of Computer Science and Statistics, Seoul National University, Seoul, 151-742) ;
- Jeon, Jong-Woo (Department of Computer Science and Statistics, Seoul National University, Seoul, 151-742)
- Published : 1989.06.01
Abstract
When we select the t best out of k populations in the indifference zone formulation, a lower confidence bound on the probability of a correct selection is derived for families with monotone likelihood ratio. The result is applied to the normal means problem when the variance is common, and to the normal variances problem. Tables to implement the confidence bound for the normal variances problem are provided.
Keywords