This paper is concerned with estimation of the restricted parameters in location and/or scale families from a decision-theoretic point of view. A simple method is provided to show the minimaxity of the best equivariant and unrestricted estimators. This is based on a modification of the known method of Girshick and Savage (1951) and can be applied to more complicated cases of restriction in the location-scale family. Classes of minimax estimators are also constructed by using the IERD method of Kubokawa (1994a, b): Especially, the paper succeeds in constructing such a class for estimating a restricted mean in a normal distribution with an unknown variance.
内容記述
Journal of the Japan Statistical Society, vol.34, 2004. 掲載予定.
雑誌名
Discussion paper series. CIRJE-F
巻
2004-CF-270
発行年
2004-03
書誌レコードID
AA11450569
フォーマット
application/pdf
日本十進分類法
330
出版者
日本経済国際共同センター
出版者別名
Center for International Research on the Japanese Economy
Minimaxity in Estimation of Restricted Parameters
