Point Processes With a Generalized Order Statistic Property

Debrabant, Birgit

ISBN 10: 3832519599 / ISBN 13: 9783832519599

Published by Logos Verlag Berlin, 2008

About this Item

Unread book in perfect condition.

Seller Inventory # 45908860

Bibliographic Details

• Title: Point Processes With a Generalized Order Statistic Property
• Publisher: Logos Verlag Berlin
• Publication Date: 2008
• Language: English
• ISBN 10: 3832519599
• ISBN 13: 9783832519599
• Binding: Soft cover
• Condition: As New

About this title

Synopsis

Mixed Poisson processes are a well known class of point processes derived from (stationary) Poisson processes. In particular they cover cases where the intensity of a Poisson process is unknown but can be assumed to follow a known probability distribution. This situation is common e. g. in insurance mathematics where for instance the number of accident claims in which an individual is involved and which is evolving over some time can in principal be well described by a Poisson process with an individual, yet normally unknown intensity corresponding to the individual's accident proneness. Modelling this intensity as a random variable naturally leads to a mixed model. Usually, an insurance company will have a good estimate of the associated mixing distribution due to its large portfolio of policies.