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Surplus analysis of Sparre Andersen insurance risk processes

Record Type:	Electronic resources : Monograph/item
Title/Author:	Surplus analysis of Sparre Andersen insurance risk processesby Gordon E. Willmot, Jae-Kyung Woo.
Author:	Willmot, Gordon E.
other author:	Woo, Jae-Kyung.
Published:	Cham :Springer International Publishing :2017.
Description:	viii, 225 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Risk (Insurance)Mathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-71362-5
ISBN:	9783319713625$q(electronic bk.)

Surplus analysis of Sparre Andersen insurance risk processes
Willmot, Gordon E.

Surplus analysis of Sparre Andersen insurance risk processes[electronic resource] /by Gordon E. Willmot, Jae-Kyung Woo. - Cham :Springer International Publishing :2017. - viii, 225 p. :ill., digital ;24 cm. - Springer actuarial. - Springer actuarial..

1 Introduction -- 2 Technical Preparation -- 3 Gerber-Shiu Analysis in the Classical Poisson Risk Model -- 4 Gerber-Shiu Analysis in the Dependent Sparre Andersen Model -- 5 Models Involving Erlang Components -- 6 The Time of Ruin in the Classical Poisson Risk Model -- 7 Related Risk Models -- 8 Other Topics -- References -- Index.

This carefully written monograph covers the Sparre Andersen process in an actuarial context using the renewal process as the model for claim counts. A unified reference on Sparre Andersen (renewal risk) processes is included, often missing from existing literature. The authors explore recent results and analyse various risk theoretic quantities associated with the event of ruin, including the time of ruin and the deficit of ruin. Particular attention is given to the explicit identification of defective renewal equation components, which are needed to analyse various risk theoretic quantities and are also relevant in other subject areas of applied probability such as dams and storage processes, as well as queuing theory. Aimed at researchers interested in risk/ruin theory and related areas, this work will also appeal to graduate students in classical and modern risk theory and Gerber-Shiu analysis.

ISBN: 9783319713625$q(electronic bk.)

Standard No.: 10.1007/978-3-319-71362-5doiSubjects--Topical Terms:

246067
Risk (Insurance)
--Mathematical models.

LC Class. No.: HG8054.5

Dewey Class. No.: 368.01

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505 0 $a 1 Introduction -- 2 Technical Preparation -- 3 Gerber-Shiu Analysis in the Classical Poisson Risk Model -- 4 Gerber-Shiu Analysis in the Dependent Sparre Andersen Model -- 5 Models Involving Erlang Components -- 6 The Time of Ruin in the Classical Poisson Risk Model -- 7 Related Risk Models -- 8 Other Topics -- References -- Index.
520 $a This carefully written monograph covers the Sparre Andersen process in an actuarial context using the renewal process as the model for claim counts. A unified reference on Sparre Andersen (renewal risk) processes is included, often missing from existing literature. The authors explore recent results and analyse various risk theoretic quantities associated with the event of ruin, including the time of ruin and the deficit of ruin. Particular attention is given to the explicit identification of defective renewal equation components, which are needed to analyse various risk theoretic quantities and are also relevant in other subject areas of applied probability such as dams and storage processes, as well as queuing theory. Aimed at researchers interested in risk/ruin theory and related areas, this work will also appeal to graduate students in classical and modern risk theory and Gerber-Shiu analysis.
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