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A Remark on the Efficient Estimation
http://hdl.handle.net/10083/1935
http://hdl.handle.net/10083/193592dd0564-9d58-43ce-8eb5-a03a842e8830
名前 / ファイル | ライセンス | アクション |
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KJ00004829272.pdf (405.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | A Remark on the Efficient Estimation | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kudo, Hirokichi
× Kudo, Hirokichi× 工藤, 弘吉 |
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著者(ヨミ) | ||||||
識別子 | 68806 | |||||
識別子Scheme | WEKO | |||||
姓名 | クドウ, ヒロキチ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | In the classical theory of estimation, the efficiency of an unbiased estimate α^* depends on the parameter α chosen in the frequency function (fr. f.), so long as we define it as {nE(α^*-α)^2ヅ (∂ logf(x, α)/∂α)^2}^<-1> in the one parameter case. For example, in the case of the normal distribution with mean 0, and variance σ^2, there exists an efficient unbiased estimate for σ^2, but not for σ. This situation cannot be justified very well from the viewpoint where we are interested in the estimation of the distribution itself, but not of parameters. In this paper we shall give a condition to be able to choose a parameter admitting an efficient unbiased estimate, and further show the uniqueness of such a parameter under this condition. Throughout this paper the discussions will be restricted, for simplicity, to the case of one parameter and of continuous type. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 2, p. 18-24, 発行日 1951-11 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
405429 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Department of Mathematics, Faculty of Science, Ochanomizu University |