Wong Man Hong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 60-63). / Abstracts in English and Chinese. / Abstract --- p.i / Abstract in Chinese --- p.ii / Thesis Assessment Committee --- p.iii / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Our Work and Motivation --- p.1 / Chapter 1.2 --- Literature Review --- p.3 / Chapter 1.3 --- Thesis Structure --- p.5 / Chapter 2 --- Preliminary --- p.6 / Chapter 2.1 --- Calculus for Volume of Sphere --- p.6 / Chapter 2.2 --- Fractional Programming and Dinkelbach's Algorithm --- p.7 / Chapter 2.3 --- Nonlinear Programming and Interior Point Algorithm --- p.8 / Chapter 2.4 --- Second Order Cones and Conic Programming --- p.10 / Chapter 3 --- The Probability Model --- p.12 / Chapter 3.1 --- Derive the Chance Constraint --- p.12 / Chapter 3.2 --- Single Cluster Model --- p.18 / Chapter 3.3 --- Multi-clusters Model --- p.21 / Chapter 4 --- The Downside Risk Model --- p.24 / Chapter 4.1 --- Derive the Downside Risk Measure --- p.24 / Chapter 4.2 --- Calculate the First and Second Derivative of the Downside Risk --- p.27 / Chapter 4.3 --- Single Cluster Model and Numerical Algorithm --- p.29 / Chapter 4.4 --- Multi-clusters Model --- p.34 / Chapter 5 --- The Conditional Value-at-Risk Model --- p.37 / Chapter 5.1 --- Derive the Conditional Value at Risk --- p.37 / Chapter 5.2 --- Single Cluster Model and Numerical Algorithm --- p.41 / Chapter 5.3 --- Multi-clusters Model --- p.47 / Chapter 6 --- Numerical Results --- p.51 / Chapter 6.1 --- Data Set --- p.51 / Chapter 6.2 --- The Probability Model --- p.53 / Chapter 6.3 --- The Downside Risk Model --- p.53 / Chapter 6.4 --- The CVaR Model --- p.56 / Chapter 7 --- Conclusions --- p.58 / Bibliography --- p.60
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325783 |
| Date | January 2006 |
| Contributors | Wong, Man Hong., Chinese University of Hong Kong Graduate School. Division of Systems Engineering and Engineering Management. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, ix, 63 leaves : ill. ; 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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