A Multivariate Claim Count Model for Applications in Insurance - Selch, Daniela Anna; Scherer, Matthias; - Prospero Internet Bookshop

A Multivariate Claim Count Model for Applications in Insurance
 
Product details:

ISBN13:9783319928678
ISBN10:3319928678
Binding:Hardback
No. of pages:158 pages
Size:235x155 mm
Weight:482 g
Language:English
Illustrations: 29 Illustrations, color
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Category:

A Multivariate Claim Count Model for Applications in Insurance

 
Edition number: 1st ed. 2018
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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Short description:

This monograph presents a time-dynamic model for multivariate claim counts in actuarial applications.



Inspired by real-world claim arrivals, the model balances interesting stylized facts (such as dependence across the components, over-dispersion and the clustering of claims) with a high level of mathematical tractability (including estimation, sampling and convergence results for large portfolios) and can thus be applied in various contexts (such as risk management and pricing of (re-)insurance contracts). The authors provide a detailed analysis of the proposed probabilistic model, discussing its relation to the existing literature, its statistical properties, different estimation strategies as well as possible applications and extensions.



Actuaries and researchers working in risk management and premium pricing will find this book particularly interesting. Graduate-level probability theory, stochastic analysis and statistics are required.

Long description:

This monograph presents a time-dynamic model for multivariate claim counts in actuarial applications.



Inspired by real-world claim arrivals, the model balances interesting stylized facts (such as dependence across the components, over-dispersion and the clustering of claims) with a high level of mathematical tractability (including estimation, sampling and convergence results for large portfolios) and can thus be applied in various contexts (such as risk management and pricing of (re-)insurance contracts). The authors provide a detailed analysis of the proposed probabilistic model, discussing its relation to the existing literature, its statistical properties, different estimation strategies as well as possible applications and extensions.



Actuaries and researchers working in risk management and premium pricing will find this book particularly interesting. Graduate-level probability theory, stochastic analysis and statistics are required.



?The monograph is an in-depth work concerning important topics in the actuarial field; it is designed to present a time-dynamic model for multivariate claim counts and its applications in the actuarial framework. ? The monograph represents a reference book for researchers and actuaries.? (Emilia Di Lorenzo, zbMATH 1417.91006, 2019)
Table of Contents:
1 Motivation and Model.- 2 Properties of the Model.- 3 Estimation of the Parameters.- 4 Applications and Extensions.- 5 Appendix: Technical Background.- References.- Index.