Surplus Analysis of Sparre Andersen Insurance Risk Processes

Name: Surplus Analysis of Sparre Andersen Insurance Risk Processes
Brand: Springer
SKU: 9783319890661
Price: 5596.0 INR
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by Gordon E. Willmot

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ISBN13: 9783319890661
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: June 6, 2019
Pages: 225
Original Price: EUR 76.99
Language: English
Edition: Softcover Repri
Item Weight: 448 grams
BISAC Subject(s): Insurance / General, Probability & Statistics / General, and Applied

About The Book

From the Back Cover

This carefully written monograph covers the Sparre Andersen process in an actuarial context using the renewal process as the model for claim counts.

A unified reference on Sparre Andersen (renewal risk) processes is included, often missing from existing literature. The authors explore recent results and analyse various risk theoretic quantities associated with the event of ruin, including the time of ruin and the deficit of ruin. Particular attention is given to the explicit identification of defective renewal equation components, which are needed to analyse various risk theoretic quantities and are also relevant in other subject areas of applied probability such as dams and storage processes, as well as queuing theory.

Aimed at researchers interested in risk/ruin theory and related areas, this work will also appeal to graduate students in classical and modern risk theory and Gerber-Shiu analysis.

About The Author

Gordon E. Willmot is Munich Re Chair in Insurance and professor in the Department of Statistics and Actuarial Science at the University of Waterloo, Canada. His research interests are in stochastic modelling in insurance. Willmot has (co-)authored over one hundred research papers in leading actuarial and statistical journals. He is also co-author of Lundberg Approximations for Compound Distributions with Insurance Applications (Springer), Loss Models - From Data to Decisions and Loss Models - Further Topics (Wiley), and Insurance Risk Models (Society of Actuaries). He is editor of Insurance: Mathematics and Economics.

Jae-Kyung Woo is Associate Professor in the School of Risk and Actuarial Studies at the University of New South Wales, Sydney. She has worked at the University of Hong Kong and Columbia University prior to joining UNSW. Her research interests are focused on risk theory, reliability theory, aggregate claim analysis, and queueing theory. She has published about twenty papers dealing with the subject of the present monograph and related topics.

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