- 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
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.
- 著者
- Akahira Masafumi Kawai Shinichi
- 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.20, no.2, pp.149-157, 1990
In some regression model, the minimum (asymptotic) variance estimator of a ratiois discussed for some class of linear combinations of ratio estimators, and the jackknifeprocedure is considered. It is seen that the grouped jackknife estimator is optimal inthe sense that it has asymptotically the minimum variance in the class. Higher orderbias reduction of the estimators is discussed, and some examples are given.