日本統計学会誌
Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602
THE OPTIMALITY OF THE GROUPED JACKKNIFE ESTIMATOR OF RATIO IN SOME REGRESSION MODEL
Masafumi AkahiraShinichi Kawai
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ジャーナル フリー

1990 年 20 巻 2 号 p. 149-157

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抄録
In some regression model, the minimum (asymptotic) variance estimator of a ratio is discussed for some class of linear combinations of ratio estimators, and the jackknife procedure is considered. It is seen that the grouped jackknife estimator is optimal in the sense that it has asymptotically the minimum variance in the class. Higher order bias reduction of the estimators is discussed, and some examples are given.
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© Japan Statistical Society
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