Chan Pui Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 103-105). / Abstracts in English and Chinese. / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Main Problems --- p.1 / Chapter 1.2 --- Motivation --- p.5 / Chapter 1.3 --- Present Works --- p.7 / Chapter Chapter 2 --- Estimation of the Eigenvalues in a Wishart Distribution --- p.11 / Chapter 2.1 --- Review of Previous Works --- p.14 / Chapter 2.2 --- Some Useful Statistical and Mathematical Results --- p.17 / Chapter 2.3 --- Improved Estimation of A under Squared Error Loss L1 --- p.23 / Chapter 2.4 --- Simulation Study for the Wishart Distribution under Squared Error Loss --- p.28 / Chapter 2.5 --- Discussions on Wishart Distribution Under Squared Error Loss --- p.32 / Chapter 2.6 --- Improved Estimation of A under the Entropy Loss(det) L2 --- p.33 / Chapter 2.7 --- Simulation Study for the Wishart Distribution Under Entropy Loss L2 --- p.38 / Chapter 2.8 --- Discussions on Wishart Distribution Under Entropy Loss --- p.44 / Chapter Chapter 3 --- Estimation of the Eigenvalues in a Multivariate F Distribution --- p.46 / Chapter 3.1 --- Review of Previous Works --- p.49 / Chapter 3.2 --- Some Useful Statistical and Mathematical Results --- p.50 / Chapter 3.3 --- Improved Estimation of A under the Squared Loss L1 --- p.54 / Chapter 3.4 --- Simulation Study for F Distribution under Squared Error Loss L1 --- p.62 / Chapter 3.5 --- Discussions on F distribution under Squared Error Loss --- p.68 / Chapter 3.6 --- Improved Estimation of A under the Entropy Loss(det) L2 --- p.69 / Chapter 3.7 --- Simulation Study for Multivariate F Distribution under Entropy Loss(det) L2 --- p.76 / Chapter 3.8 --- Discussions on F distribution under Entropy Loss --- p.86 / Chapter Chapter 4 --- Inheritance of Dominance between Eigenvalues Loss Function and Matrix Function --- p.87 / Chapter 4.1 --- Significance of The Problem --- p.87 / Chapter 4.2 --- Inheritance of Dominance between Eigenvalues Estimator and Matrix Estimator under Squared Error Loss --- p.92 / Chapter 4.3 --- Inheritance of Dominance between Eigenvalues Estimator and Matrix Estimator under Entropy Loss --- p.97 / Chapter 4.4 --- Conclusion --- p.102 / BIBLIOGRAPHY --- p.103
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323561 |
| Date | January 2001 |
| Contributors | Chan, Pui Man., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vii, 105 leaves ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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