Stochastic Processes for Insurance and Finance

Stochastic Processes for Insurance and Finance offers a thorough yet accessible reference for researchers and practitioners of insurance mathematics. Building on recent and rapid developments in applied probability the authors describe in general terms models based on Markov processes, martingales and various types of point processes. Discussing frequently asked insurance questions, the authors present a coherent overview of the subject and specifically address:the principal concepts of insurance and financepractical examples with real life datanumerical and algorithmic procedures essential for modern insurance practicesAssuming competence in probability calculus, this book will provide a rigorous treatment of insurance risk theory recommended for researchers and students interested in applied probability as well as practitioners of actuarial sciences.

Spis treści:
Concepts from Insurance and Finance.
Probability Distributions.
Premiums and Ordering of Risks.
Distributions of Aggregate Claim Amount.
Risk Processes.
Renewal Processes and Random Walks.
Markov Chains.
Continuous–Time Markov Models.
Martingale Techniques I.
Martingale Techniques II.
Piecewise Deterministic Markov Processes.
Point Processes.
Diffusion Models.
Distribution Tables.
References.
Index.

Okładka tylna:
Stochastic Processes for Insurance and Finance offers a thorough yet accessible reference for researchers and practitioners of insurance mathematics. Building on recent and rapid developments in applied probability the authors describe in general terms models based on Markov processes, martingales and various types of point processes. Discussing frequently asked insurance questions, the authors present a coherent overview of the subject and specifically address:the principal concepts of insurance and financepractical examples with real life datanumerical and algori thmic procedures essential for modern insurance practicesAssuming competence in probability calculus, this book will provide a rigorous treatment of insurance risk theory recommended for researchers and students interested in applied probability as well as practitioners of actuarial sciences.