Author: Yuliya Mishura
Publisher: Elsevier
ISBN: 0081020988
Category : Mathematics
Languages : en
Pages : 278
Book Description
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. - Provides new original results - Detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities, as well as possible applications of these results - An excellent supplement to current textbooks and monographs in risk theory - Contains a comprehensive list of useful references
Ruin Probabilities
Author: Yuliya Mishura
Publisher: Elsevier
ISBN: 0081020988
Category : Mathematics
Languages : en
Pages : 278
Book Description
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. - Provides new original results - Detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities, as well as possible applications of these results - An excellent supplement to current textbooks and monographs in risk theory - Contains a comprehensive list of useful references
Publisher: Elsevier
ISBN: 0081020988
Category : Mathematics
Languages : en
Pages : 278
Book Description
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. - Provides new original results - Detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities, as well as possible applications of these results - An excellent supplement to current textbooks and monographs in risk theory - Contains a comprehensive list of useful references
Ruin Probabilities
Author: S?ren Asmussen
Publisher: World Scientific
ISBN: 9814282529
Category : Mathematics
Languages : en
Pages : 621
Book Description
The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramr?Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber?Shiu functions and dependence.
Publisher: World Scientific
ISBN: 9814282529
Category : Mathematics
Languages : en
Pages : 621
Book Description
The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramr?Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber?Shiu functions and dependence.
Paris-Princeton Lectures on Mathematical Finance 2004
Author: René Carmona
Publisher: Springer
ISBN: 3540733272
Category : Mathematics
Languages : en
Pages : 256
Book Description
This is the third volume in the Paris-Princeton Lectures in Financial Mathematics, which publishes, on an annual basis, cutting-edge research in self-contained, expository articles from outstanding specialists, both established and upcoming. Coverage includes articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Huyên Pham.
Publisher: Springer
ISBN: 3540733272
Category : Mathematics
Languages : en
Pages : 256
Book Description
This is the third volume in the Paris-Princeton Lectures in Financial Mathematics, which publishes, on an annual basis, cutting-edge research in self-contained, expository articles from outstanding specialists, both established and upcoming. Coverage includes articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Huyên Pham.
Optimization, Control, and Applications of Stochastic Systems
Author: Daniel Hernández-Hernández
Publisher: Springer Science & Business Media
ISBN: 0817683372
Category : Science
Languages : en
Pages : 331
Book Description
This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.
Publisher: Springer Science & Business Media
ISBN: 0817683372
Category : Science
Languages : en
Pages : 331
Book Description
This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.
COMPSTAT 2008
Author: Paula Brito
Publisher: Springer Science & Business Media
ISBN: 3790820849
Category : Mathematics
Languages : en
Pages : 557
Book Description
18th Symposium Held in Porto, Portugal, 2008
Publisher: Springer Science & Business Media
ISBN: 3790820849
Category : Mathematics
Languages : en
Pages : 557
Book Description
18th Symposium Held in Porto, Portugal, 2008
Operations Research Proceedings 2006
Author: Karl-Heinz Waldmann
Publisher: Springer Science & Business Media
ISBN: 3540699953
Category : Business & Economics
Languages : en
Pages : 590
Book Description
This volume contains a selection of papers referring to lectures presented at the symposium Operations Research 2006 held at the University of Karlsruhe. The symposium presented the state of the art in Operations Research and related areas in Economics, Mathematics, and Computer Science and demonstrated the broad applicability of its core themes, placing particular emphasis on Basel II, one of the most topical challenges of Operations Research.
Publisher: Springer Science & Business Media
ISBN: 3540699953
Category : Business & Economics
Languages : en
Pages : 590
Book Description
This volume contains a selection of papers referring to lectures presented at the symposium Operations Research 2006 held at the University of Karlsruhe. The symposium presented the state of the art in Operations Research and related areas in Economics, Mathematics, and Computer Science and demonstrated the broad applicability of its core themes, placing particular emphasis on Basel II, one of the most topical challenges of Operations Research.
Stochastic Methods in Finance
Author: CIME-EMS Summer School
Publisher: Springer Science & Business Media
ISBN: 9783540229537
Category : Finance
Languages : en
Pages : 328
Book Description
Publisher: Springer Science & Business Media
ISBN: 9783540229537
Category : Finance
Languages : en
Pages : 328
Book Description
Regular Variation
Author: N. H. Bingham
Publisher: Cambridge University Press
ISBN: 9780521379434
Category : Mathematics
Languages : en
Pages : 518
Book Description
A comprehensive account of the theory and applications of regular variation.
Publisher: Cambridge University Press
ISBN: 9780521379434
Category : Mathematics
Languages : en
Pages : 518
Book Description
A comprehensive account of the theory and applications of regular variation.
Paris-Princeton Lectures on Mathematical Finance ...
Author:
Publisher:
ISBN:
Category : Business mathematics
Languages : en
Pages : 270
Book Description
Publisher:
ISBN:
Category : Business mathematics
Languages : en
Pages : 270
Book Description
Advanced Techniques in Computing Sciences and Software Engineering
Author: Khaled Elleithy
Publisher: Springer Science & Business Media
ISBN: 9048136601
Category : Computers
Languages : en
Pages : 582
Book Description
Advanced Techniques in Computing Sciences and Software Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Advanced Techniques in Computing Sciences and Software Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2008) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).
Publisher: Springer Science & Business Media
ISBN: 9048136601
Category : Computers
Languages : en
Pages : 582
Book Description
Advanced Techniques in Computing Sciences and Software Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Advanced Techniques in Computing Sciences and Software Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2008) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).