Abstract
Let π1, π2,…,πk be k independent normal populations with means μ1, μ2,…,μk and variances respectively. Our interest is in devising a procedure for selecting a nonempty random-size subset that excludes all the inferior populations with a probability not less than a specified number, when the populations are ranked in terms of θi ’s, θi = μi/σi, l ≤ i ≤ k, σ1 = σ2 = … = σk = σ (known or unknown). In 1970, Desu treated the case of equal sample sizes, here we derive procedures and results for samples of unequal size.
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