Semi-Markov Models and Applications

Jacques Janssen

ISBN 10: 0792359631 / ISBN 13: 9780792359630

Published by Springer Us Okt 1999, 1999

About this Item

Neuware - This book presents a selection of papers presented to the Second Inter national Symposium on Semi-Markov Models: Theory and Applications held in Compiegne (France) in December 1998. This international meeting had the same aim as the first one held in Brussels in 1984 : to make, fourteen years later, the state of the art in the field of semi-Markov processes and their applications, bring together researchers in this field and also to stimulate fruitful discussions. The set of the subjects of the papers presented in Compiegne has a lot of similarities with the preceding Symposium; this shows that the main fields of semi-Markov processes are now well established particularly for basic applications in Reliability and Maintenance, Biomedicine, Queue ing, Control processes and production. A growing field is the one of insurance and finance but this is not really a surprising fact as the problem of pricing derivative products represents now a crucial problem in economics and finance. For example, stochastic models can be applied to financial and insur ance models as we have to evaluate the uncertainty of the future market behavior in order, firstly, to propose different measures for important risks such as the interest risk, the risk of default or the risk of catas trophe and secondly, to describe how to act in order to optimize the situation in time. Recently, the concept of VaR (Value at Risk) was 'discovered' in portfolio theory enlarging so the fundamental model of Markowitz.

Seller Inventory # 9780792359630

Bibliographic Details

• Title: Semi-Markov Models and Applications
• Publisher: Springer Us Okt 1999
• Publication Date: 1999
• Language: English
• ISBN 10: 0792359631
• ISBN 13: 9780792359630
• Binding: Buch
• Condition: Neu

About this title

Synopsis

This book presents a selection of papers presented to the Second Inter­ national Symposium on Semi-Markov Models: Theory and Applications held in Compiegne (France) in December 1998. This international meeting had the same aim as the first one held in Brussels in 1984 : to make, fourteen years later, the state of the art in the field of semi-Markov processes and their applications, bring together researchers in this field and also to stimulate fruitful discussions. The set of the subjects of the papers presented in Compiegne has a lot of similarities with the preceding Symposium; this shows that the main fields of semi-Markov processes are now well established particularly for basic applications in Reliability and Maintenance, Biomedicine, Queue­ ing, Control processes and production. A growing field is the one of insurance and finance but this is not really a surprising fact as the problem of pricing derivative products represents now a crucial problem in economics and finance. For example, stochastic models can be applied to financial and insur­ ance models as we have to evaluate the uncertainty of the future market behavior in order, firstly, to propose different measures for important risks such as the interest risk, the risk of default or the risk of catas­ trophe and secondly, to describe how to act in order to optimize the situation in time. Recently, the concept of VaR (Value at Risk) was "discovered" in portfolio theory enlarging so the fundamental model of Markowitz.

Synopsis

It is now clear that semi-Markov processes play an increasingly crucial role in business and industry; this is partially due to the fact that, with the powerful mathematical software now existing, the numerical treatment of basic integral equations is easier and so leads to more concrete applications; moreover the development of topics such as non-homogeneous models and statistical estimation make it possible to construct more adequate models of real-life problems and to calibrate the basic parameters of the models more accurately from real data. This book presents many models that are or could be useful for applications in real-life problems. The editor hopes that it will contribute to the stimulation of new interactions between the theoretical development and the applications of semi-Markov models.