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Lectures on Insurance Models
S. Ramasubramanian, Indian Statistical Institute, Bangalore, India
A publication of Hindustan Book Agency.
cover
Hindustan Book Agency
2009; 206 pp; hardcover
ISBN-10: 81-85931-93-3
ISBN-13: 978-81-85931-93-7
List Price: US$44
Member Price: US$35.20
Order Code: HIN/41
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Insurance has become a necessary aspect of modern society. The mathematical basis of insurance modelling is best expressed in terms of continuous time stochastic processes.

This introductory text on actuarial risk theory deals with the Cramer-Lundberg model and the renewal risk model. Their basic structure and properties, including the renewal theorems as well as the corresponding ruin problems, are studied. There is a detailed discussion of heavy tailed distributions, which have become increasingly relevant. The Lundberg risk process with investment in risky asset is also considered.

This book will be useful to practitioners in the field and to graduate students interested in this important branch of applied probability.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in applied probability.

Table of Contents

  • Introduction
  • Poisson model
  • Renewal model
  • Claim size distributions
  • Ruin problems
  • Lundberg risk process with investment
  • Appendix 1. Basic notions
  • Appendix 2. On the central limit problem
  • Appendix 3. Martingales
  • Appendix 4. Brownian motion and Itô integrals
  • Bibliography
  • Index
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