Logo - springer
Slogan - springer

Mathematics - Quantitative Finance | Non-Life Insurance Mathematics - An Introduction with the Poisson Process

Non-Life Insurance Mathematics

An Introduction with the Poisson Process

Series: Universitext

Mikosch, Thomas

2nd ed. 2009

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-540-88233-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-540-88232-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • Presents a rigorous mathematical introduction, allowing the book to be used by a wide audience
  • Includes more than 100 figures and tables that illustrate and visualize the theory
  • Every section ends with extensive exercises
  • Book's content is in agreement with the European "Group Consultatif" standards
  • Includes an extensive bibliography, annotated by various comments sections with references to more advanced relevant literature, which makes the book broadly and easily accessible

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.

Content Level » Graduate

Keywords » Poisson random measure - Stochastic Processes - insurance risk - non-life insurance mathematics - point process - stoachastic process

Related subjects » Quantitative Finance

Table of contents / Preface / Sample pages 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Quantitative Finance.

Additional information