On Selecting the Normal Population with the Largest Absolute Mean
نویسندگان
چکیده
منابع مشابه
A Three-Stage Elimination Type Procedure for Selecting the Largest Normal Mean (Common Unknown Variance)
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We consider the problem of selecting the normal population with the smallest coefficient of variation, which is a natural goal when the means as well as the variances of the populations are unknown and unequal. The indifference-zone approach (Bechhofer 1954) to this problem has been previously considered by Choi, Jeon and Kim (1982). We review their selection procedure and provide tables of sam...
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We consider the problem of ‘optimally’ allocating a given total number, N, of observations to k?2 normal populations having unknown means but known variances of,o;, . . ..oi. when it is desired to select the population having the largest mean using a natural single-stage selection procedure based on sample means. Here ‘optimal’ allocation is one that maximizes the infimum of the probability of ...
متن کاملOptimal confidence interval for the largest normal mean under heteroscedasticity
A two-stage sampling procedure for obtaining an optimal confidence interval for the largest or smallest mean of k independent normal populations is proposed, where the population variances are unknown and possibly unequal. The optimal confidence interval is obtained by maximizing the coverage probability with a fixed width at a least favorable configuration of means. Then, the sample sizes can ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences & Computer Applications
سال: 2017
ISSN: 2158-933X
DOI: 10.5147/jmsca.v2i1.98