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On grouping sets of exponential populations
Abstract:Suppose we have k random samples each of size n from a two parameter exponential distribution with location parameters μ i i=1,…,k, and where each item has the same, unknown scale parameter. A multistage procedure is developed to determine tk groups such that in any one group the distributions have μi's that are not appreciably different. The method yields a unique grouping and extends the approach of the Kumar and Pate1 test.The emphasis is on the development of a procedure based on the null sampling distribution of the maximum gap of the ordered first order statistics from exponential distributions. The procedure is based on complete ordered samples or censored (of any or of all) samples.
Keywords:Maximum gap  multistage grouping proceedure  comparing exponental populations
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