Discriminant analysis under elliptical populations エリプティカル母集団における判別分析
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著者
書誌事項
- タイトル
-
Discriminant analysis under elliptical populations
- タイトル別名
-
エリプティカル母集団における判別分析
- 著者名
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若木, 宏文
- 著者別名
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ワカキ, ヒロフミ
- 学位授与大学
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広島大学
- 取得学位
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理学博士
- 学位授与番号
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乙第2321号
- 学位授与年月日
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1992-11-16
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 0.Introduction / p2 (0004.jp2)
- PART I.Fisher's linear discriminant function under elliptical populations / p6 (0008.jp2)
- 1.Minimax classification rule between two elliptical populations / p6 (0008.jp2)
- 2.Asymptotic expansion of the joint distribution of sample mean and sample covariance matrix from an elliptical population / p10 (0012.jp2)
- 3.On the conditional misclassification probabilities / p18 (0020.jp2)
- 4.Estimation of the misclassification probabilities / p26 (0028.jp2)
- PART II.Robust estimators in discriminant analysis / p29 (0031.jp2)
- 5.A general setup of estimation problem in discriminant analysis / p29 (0031.jp2)
- 6.Definitions and properties related with the influence function / p30 (0032.jp2)
- 7.Measures of efficiency and robustness of the estimators in classification. / p35 (0037.jp2)
- 8.The optimal D-robust M-estimators / p39 (0041.jp2)
- 9.Equivariant M-estimator / p46 (0048.jp2)
- Asymptotic expansion for the distribution of the discriminant function in the first order autoregressive processes / (0070.jp2)
- Comparison of powers of a class of tests for covariance matrices / (0075.jp2)
- Comparison of linear and quadratic discriminant functions / (0083.jp2)
- A Class of Tests for a General Covariance Structure / (0085.jp2)