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| Titel: |
Confidence intervals for the largest mean from k correlated normal populations |
| Auteur: |
Chen, Hubert J. Tsai, Paul J. Wang, Mike W. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 7 (1978) nr. 3 pagina's 205-222 |
| Jaar: |
1978 |
| Inhoud: |
Let X= (X1,…, Xk)' be a k-variate (k ≥ 2) normal random vector with unknown population mean vector μ = (μ1 ,…, μk)' and covariance matrix Σ of order k and let μ[1] ≤ … ≤ μ[k] be the ordered values of the μ ' s. No prior knowledge of the pairing of the μ[i] with the Xj. (or μ[i] with the σj 2) is assumed for any i and j (1 ≤ i, j ≤ k). Based on a random sample of N independent vector observations on X, this paper considers both upper and lower (one-sided) and two-sided 100γ% (0 < γ < 1) confidence intervals for μ[k] and μ[1], the largest and the smallest mean, respectively, when Σ is known and when Σ is equal to σ2R with common unknown variance σ2 > 0 and correlation matrix R known, respectively. An optimum two-sided confidence interval via finding the shortest length from this class is also considered. Necessary tables and computer program to actually apply these procedures are provided. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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