Statistical inference for non-normal populations 非正規母集団に対する統計的推測法の研究
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Bibliographic Information
- Title
-
Statistical inference for non-normal populations
- Other Title
-
非正規母集団に対する統計的推測法の研究
- Author
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山口, 和範, 1962-
- Author(Another name)
-
ヤマグチ, カズノリ
- University
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九州大学
- Types of degree
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理学博士
- Grant ID
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甲第2714号
- Degree year
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1991-02-25
Note and Description
博士論文
1 Introduction 2 Model for Association in Bivariate Survival Data 3 Linear Model with Heavy-tailed Error Distributions 4 Analysis of Repeated Measures Data with Outliers 5 Robust Factor Analysis
主1-参1
Table of Contents
- Contents / (0005.jp2)
- 1 Introduction / p6 (0007.jp2)
- 2 Model for Association in Bivariate Survival Data / p9 (0010.jp2)
- 2.1 Bivariate survivor function / p10 (0011.jp2)
- 2.2 Model for association / p11 (0012.jp2)
- 2.3 Estimation of parameters / p17 (0018.jp2)
- 2.4 Test of the proportional hazards assumption / p25 (0026.jp2)
- 3 Linear Model with Heavy-tailed Error Distributions / p30 (0031.jp2)
- 3.1 Linear model and iteratively reweighted least squares / p30 (0031.jp2)
- 3.2 Scale mixtures of normal distributions / p33 (0034.jp2)
- 3.3 Multivariate model / p36 (0037.jp2)
- 3.4 ML estimation and EM algorithm / p39 (0040.jp2)
- 3.5 Model selection and detection of outliers / p44 (0045.jp2)
- 4 Analysis of Repeated Measures Data with Outliers / p46 (0047.jp2)
- 4.1 Model for data with outliers / p47 (0048.jp2)
- 4.2 Maximum likelihood estimates / p48 (0049.jp2)
- 4.3 Numerical examples / p54 (0055.jp2)
- 5 Robust Factor Analysis / p65 (0066.jp2)
- 5.1 Robust model / p66 (0067.jp2)
- 5.2 Estimation of the parameters / p68 (0069.jp2)
- 5.3 Simulation study / p72 (0073.jp2)
- 5.4 Application to real data / p85 (0086.jp2)
- 5.5 Discussion and conclusion / p95 (0096.jp2)
- References / p97 (0098.jp2)