著者

Kawai Shinichi Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.24, no.2, pp.141-150, 1994

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In some regression model, the mean square' errors of a ratio estimator, a groupedjackknife estimator, and an estimator based on the least square estimators (LSEs) areobtained and compared up to the order O(n-3), where n is the size of the sample. Thebias-adjusted ratio estimator and the jackknife estimator are also compared up to theorder O(n-3). Then it is concluded that the estimator based on the LSEs is an asymptoticallybetter estimator of ratio up to the order o (n-3).Some examples are given.