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

Bibliographic Information

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

Thomas Mikosch

(Universitext)

Springer, c2009

2nd ed

Available at  / 29 libraries

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Note

Includes bibliographical references (p. [405]-412) and index

Description and Table of Contents

Description

"Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt fur Didaktik der Mathematik

Table of Contents

  • 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.

by "Nielsen BookData"

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