A Multivariate Claim Count Model for Applications in Insurance

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 mat...

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1. Verfasser: Selch, Daniela Anna (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Springer Actuarial,
Schlagworte:
ISBN:9783319928685
ISSN:2523-3262
Online-Zugang: Volltext
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100 1 |a Selch, Daniela Anna.  |4 aut 
245 1 2 |a A Multivariate Claim Count Model for Applications in Insurance  |h [electronic resource] /  |c by Daniela Anna Selch, Matthias Scherer. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XII, 158 p. 29 illus. in color.  |b online resource. 
490 1 |a Springer Actuarial,  |x 2523-3262 
500 |a Mathematics and Statistics  
505 0 |a 1 Motivation and Model -- 2 Properties of the Model -- 3 Estimation of the Parameters -- 4 Applications and Extensions -- 5 Appendix: Technical Background -- References -- Index. 
516 |a text file PDF 
520 |a 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. 
650 0 |a Probabilities. 
650 0 |a Actuarial science. 
650 0 |a Statistics . 
650 0 |a Economics, Mathematical . 
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