Compound Poisson Approximation

Author:   V. Čekanavičius ,  S. Y. Novak
Publisher:   Taylor & Francis Ltd
ISBN:  

9781032762562


Pages:   303
Publication Date:   21 August 2024
Format:   Hardback
Availability:   In Print   Availability explained
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Compound Poisson Approximation


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Overview

Compound Poisson approximation appears naturally in situations where one deals with a large number of rare events. It has important applications in insurance, extreme value theory, reliability theory, mathematical biology, and more. Compound Poisson Approximation synthesizes the most important recent research in the field in a single volume. With an extensive list of references, open problems, and exercises, it will become the standard reference book on the topic. Features • Provides a comprehensive overview of this rapidly expanding field • Synthesizes the most important research results of recent years • Presents an array of special topics • Provides the reader with a set of tools needed for research and education The book is of interest to researchers and postgraduate students from probability, statistics, and mathematics.

Full Product Details

Author:   V. Čekanavičius ,  S. Y. Novak
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Weight:   0.453kg
ISBN:  

9781032762562


ISBN 10:   103276256
Pages:   303
Publication Date:   21 August 2024
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Preliminaries. 2. Poisson limit theorem. 3. Accuracy of Poisson approximation. 4. Applications. 5. Compound Poisson limit theorem. 6. Accuracy of CP approximation: rare events. 7. Accuracy of CP approximation: discrete r.v.s. 8. Special classes of distributions. 9. m-dependent integer-valued r.v.s. 10. Markov Binomial distribution. 11. Multivariate compound Poisson approximation. 12. Compound Poisson process approximation. 13. Kolmogorov’s problem. 14. Appendix.

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Author Information

Vydas Čekanavičius is a Professor of Mathematics at the Institute of Applied Mathematics, Faculty of Mathematics and Informatics, Vilnius University. He is the author of “Approximation Methods in Probability Theory”, Springer, 2016. Dr S.Y. Novak works at Middlesex University London. He is the author of “Extreme value methods with applications to finance”, Chapman & Hall/CRC Press, 2011.

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