Studies on statistical inference of normal means with inequality constraints 不等式制約を持つ正規分布の平均の統計的推測に関する研究
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著者
書誌事項
- タイトル
-
Studies on statistical inference of normal means with inequality constraints
- タイトル別名
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不等式制約を持つ正規分布の平均の統計的推測に関する研究
- 著者名
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岩佐, 学
- 著者別名
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イワサ, マナブ
- 学位授与大学
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九州大学
- 取得学位
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博士 (数理学)
- 学位授与番号
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乙第6181号
- 学位授与年月日
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1996-03-19
注記・抄録
博士論文
Chapter1.Inequalities on the probability content of certain asymmetric regions for normal distributions Chapter2.Monotonicity properties of the power functions of LRTs for cone-restricted hypotheses of normal means Chapter3.Admissibility of the MLE for a bounded normal mean
数理
目次
- Contents / p6 (0007.jp2)
- Preface / p2 (0003.jp2)
- Acknowledgements / p5 (0006.jp2)
- Basic notation / p7 (0008.jp2)
- Chapter1.Inequalities on the probability content of certain asymmetric regions for normal distributions / p1 (0009.jp2)
- 1.1 Introduction / p1 (0009.jp2)
- 1.2 An extension of majorization inequality / p4 (0012.jp2)
- 1.3 A cone ordering on spheres and a related inequality / p9 (0017.jp2)
- 1.4 A further extension and a comparison between inequalities / p11 (0019.jp2)
- 1.5 Majorization on spheres / p13 (0021.jp2)
- Chapter2.Monotonicity properties of the power functions of LRTs for cone-restricted hypotheses of normal means / p15 (0023.jp2)
- 2.1 Introduction / p15 (0023.jp2)
- 2.2 The fundamental monotonicity results / p17 (0025.jp2)
- 2.3 An implication of the symmetry of the cone / p22 (0030.jp2)
- 2.4 On Bartholomew's conjectures / p25 (0033.jp2)
- Chapter3.Admissibility of the MLE for a bounded normal mean / p34 (0042.jp2)
- 3.1 Introduction / p34 (0042.jp2)
- 3.2 A sufficient condition for the MLE to be inadmissible / p35 (0043.jp2)
- 3.3 Admissibility of the MLE for absolute error loss / p37 (0045.jp2)
- References / p41 (0049.jp2)