On estimation of the common mean of k ([greater-or-equal, slanted] 2) normal populations with order restricted variances
For estimating the common mean of k ([greater-or-equal, slanted] 2) normal populations with order restricted unknown variances, using the theory of isotomic regression, we propose a simple estimator which is better than the usual Graybill-Deal estimator in terms of stochastic dominance and the Pitman measure of closeness.
Year of publication: |
1997
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Authors: | Misra, Neeraj ; Meulen, Edward C. van der |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 36.1997, 3, p. 261-267
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Publisher: |
Elsevier |
Keywords: | Common mean Graybill-Deal estimator Isotonic regression Maximum likelihood estimator Mean squared error Pitman measure of closeness Stochastic dominance Universal dominance |
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