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portada Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach
Type
Physical Book
Language
English
Pages
276
Format
Hardcover
ISBN13
9781785482182
Edition No.
1

Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach

Yuliya Mishura; Olena Ragulina (Author) · Iste Pr Elsevier · Hardcover

Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach - Yuliya Mishura; Olena Ragulina

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Synopsis "Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach"

Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk models. Next, it gives some possible applications of the results concerning the smoothness of the survival probabilities. Additionally, the book introduces the supermartingale approach, which generalizes the martingale one introduced by Gerber, to get upper exponential bounds for the infinite-horizon ruin probabilities in some generalizations of the classical risk model with risky investments.

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The book is written in English.
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