Non-life insurance mathematics : an introduction with the Poisson process

The volume offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It includes detailed discussions of the fundamental models regarding claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Thr...

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Hlavní autor: Mikosch, Thomas, 1955-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:2nd ed. 2009.
Edice:Universitext
On-line přístup:Accès sur la plateforme de l'éditeur
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Poznámka: Description d'après consultation du 30 mars 2012
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Edition sous un autre format:• Non-life insurance mathematics, an introduction with the Poisson process, Thomas Mikosch, Second edition, Berlin, Springer, 2009, 1 vol. (XV-432 p.), Universitext, 978-3-540-88232-9
• Non-Life Insurance Mathematics, Texte imprimé, 9783540882343
• Non-life insurance mathematics, an introduction with the Poisson process, Thomas Mikosch, Second edition, Berlin, Springer, 2009, 1 vol. (XV-432 p.), Universitext, 978-3-540-88232-9
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245 1 0 |a Non-life insurance mathematics :  |b an introduction with the Poisson process   |c by Thomas Mikosch. 
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504 |a Bibliogr. Index 
505 1 |a Collective Risk Models The Basic Model Models for the Claim Number Process The Total Claim Amount Ruin Theory Experience Rating Bayes Estimation Linear Bayes Estimation A Point Process Approach to Collective Risk Theory The General Poisson Process Poisson Random Measures in Collective Risk Theory Weak Convergence of Point Processes Special Topics An Excursion to L#x00E9;vy Processes Cluster Point Processes 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a The volume offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It includes detailed discussions of the fundamental models regarding claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Throughout the volume the language of stochastic processes is used for describing the dynamics of an insurance portfolio in claim size, space and time. Special emphasis is given to the phenomena which are caused by large claims in these models. The reader learns how the underlying probabilistic structures allow determining premiums in a portfolio or in an individual policy. The second edition contains various new chapters that illustrate the use of point process techniques in non-life insurance mathematics. Poisson processes play a central role. Detailed discussions show how Poisson processes can be used to describe complex aspects in an insurance business such as delays in reporting, the settlement of claims and claims reserving. Also the chain ladder method is explained in detail. More than 150 figures and tables illustrate and visualize the theory. Every section ends with numerous exercises. An extensive bibliography, annotated with various comments sections with references to more advanced relevant literature, makes the volume broadly and easily accessible 
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