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A hybrid method for solving the ruin functionals of the classical risk model perturbed by diffusion.

Leung, Kit Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 47-48). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Classical Model --- p.1 / Chapter 1.2 --- Diffusion-perturbed model --- p.3 / Chapter 1.3 --- Hybrid computational scheme --- p.5 / Chapter 2 --- Integro-differential Equations --- p.7 / Chapter 2.1 --- Integro-differential equation of Chiu and Yin (2003) --- p.7 / Chapter 2.2 --- Integro-differential equations for ψs(u) and ψd(u) --- p.16 / Chapter 3 --- Numerical Method --- p.17 / Chapter 3.1 --- Trapezoidal approximation --- p.18 / Chapter 3.2 --- Boundary Conditions --- p.19 / Chapter 4 --- Importance Sampling --- p.22 / Chapter 4.1 --- Simulation Recipe --- p.25 / Chapter 4.2 --- Discussion --- p.26 / Chapter 5 --- Numerical Examples --- p.28 / Chapter 5.1 --- Probabilities of ruin: Oscillation and claim --- p.28 / Chapter 5.2 --- Comparison with the asymptotic results --- p.32 / Chapter 5.2.1 --- Ruin Probability --- p.38 / Chapter 5.2.2 --- Surplus before ruin --- p.40 / Chapter 5.2.3 --- Deficit after ruin --- p.42 / Chapter 6 --- Conclusion --- p.45 / References --- p.47

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326320
Date January 2008
ContributorsLeung, Kit Hung., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, ix, 48 leaves : ill. ; 30 cm.
RightsUse 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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