On the estimation of a variance ratio (Q1115054)
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scientific article; zbMATH DE number 4086752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the estimation of a variance ratio |
scientific article; zbMATH DE number 4086752 |
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On the estimation of a variance ratio (English)
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1988
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The estimation of the ratio of two independent normal variances is considered under scale invariant squared error loss function, when the means are unknown. The best invariant estimator is shown to be inadmissible. Two new classes of improved estimators are obtained, one by extending \textit{C. Stein} [Ann. Inst. Stat. Math. 16, The 20th Anniv. Vol. Part I, 155-160 (1964; Zbl 0144.414)] and the other by extending \textit{L. D. Brown} [Ann. Math. Stat. 39, 29-48 (1968; Zbl 0162.499)]. Numerical studies are presented to indicate the percent improvements in risk.
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estimation of the ratio of two independent normal variances
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scale invariant squared error loss function
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best invariant estimator
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