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Recursions for Convolutions and Compound Distributions with Insurance Applications

  • Book
  • © 2009

Overview

Part of the book series: EAA Series (EAAS)

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Table of contents (20 chapters)

  1. Univariate Distributions

  2. I Univariate distributions

  3. Multivariate Distributions

  4. II Multivariate distributions

Keywords

About this book

Since 1980, methods for recursive evaluation of aggregate claims distributions have received extensive attention in the actuarial literature.

This book gives a unified survey of the theory and is intended to be self-contained to a large extent. As the methodology is applicable also outside the actuarial field, it is presented in a general setting, but actuarial applications are used for motivation.

The book is divided into two parts. Part I is devoted to univariate distributions, whereas in Part II, the methodology is extended to multivariate settings.

Primarily intended as a monograph, this book can also be used as text for courses on the graduate level. Suggested outlines for such courses are given.

The book is of interest for actuaries and statisticians working within the insurance and finance industry, as well as for people in other fields like operations research and reliability theory.

Reviews

From the reviews: “The goal of this book is to give a unified survey of the existing literature on this topic. … Each chapter starts with a summary and ends with a section of further remarks and references. … this book will surely become an important reference source for both researchers … and practitioners working in the insurance and finance industry. This book can be used for a course … on the topic of recursions. … In sum, this is a worthwhile book on an important topic.” (Qihe Tang, Mathematical Reviews, Issue 2010 h)

Bibliographic Information

  • Book Title: Recursions for Convolutions and Compound Distributions with Insurance Applications

  • Authors: Raluca Vernic, Bjoern Sundt

  • Series Title: EAA Series

  • DOI: https://doi.org/10.1007/978-3-540-92900-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Softcover ISBN: 978-3-540-92899-7Published: 03 April 2009

  • eBook ISBN: 978-3-540-92900-0Published: 21 April 2009

  • Series ISSN: 1869-6929

  • Series E-ISSN: 1869-6937

  • Edition Number: 1

  • Number of Pages: XV, 345

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Quantitative Finance, Finance, general

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