skip to content
Risk Modelling in General Insurance : From Principles to Practice. Preview this item
ClosePreview this item
Checking...

Risk Modelling in General Insurance : From Principles to Practice.

Author: Roger J Gray; Susan M Pitts
Publisher: Cambridge : Cambridge University Press, 2012.
Series: International series on actuarial science.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
A wide range of topics to give students a firm foundation in statistical and actuarial concepts and their applications.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Gray, Roger J.
Risk Modelling in General Insurance : From Principles to Practice.
Cambridge : Cambridge University Press, ©2012
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Roger J Gray; Susan M Pitts
ISBN: 9781139516556 1139516558 9781139518406 1139518402 9781139033756 1139033751
OCLC Number: 796383847
Description: 1 online resource (410 pages).
Contents: Cover; Risk Modelling in General Insurance; Series Page; Title; Copyright; Contents; Preface; 1: Introduction; 1.1 The aim of this book; 1.2 Notation and prerequisites; 1.2.1 Probability; 1.2.2 Statistics; 1.2.3 Simulation; 1.2.4 The statistical software package R; 2: Models for claim numbers and claim sizes; 2.1 Distributions for claim numbers; 2.1.1 Poisson distribution; 2.1.2 Negative binomial distribution; 2.1.3 Geometric distribution; 2.1.4 Binomial distribution; 2.1.5 A summary note on R; 2.2 Distributions for claim sizes; 2.2.1 A further summary note on R. 2.2.2 Normal (Gaussian) distribution2.2.3 Exponential distribution; 2.2.4 Gamma distribution; 2.2.5 Fat-tailed distributions; 2.2.6 Lognormal distribution; 2.2.7 Pareto distribution; 2.2.8 Weibull distribution; 2.2.9 Burr distribution; 2.2.10 Loggamma distribution; 2.3 Mixture distributions; 2.4 Fitting models to claim-number and claim-size data; 2.4.1 Fitting models to claim numbers; 2.4.2 Fitting models to claim sizes; Exercises; 3: Short term risk models; 3.1 The mean and variance of a compound distribution; 3.2 The distribution of a random sum. 3.2.1 Convolution series formula for a compound distribution3.2.2 Moment generating function of a compound distribution; 3.3 Finite mixture distributions; 3.4 Special compound distributions; 3.4.1 Compound Poisson distributions; 3.4.2 Compound mixed Poisson distributions; 3.4.3 Compound negative binomial distributions; 3.4.4 Compound binomial distributions; 3.5 Numerical methods for compound distributions; 3.5.1 Panjer recursion algorithm; 3.5.2 The fast Fourier transform algorithm; 3.6 Approximations for compound distributions; 3.6.1 Approximations based on a few moments. 3.6.2 Asymptotic approximations3.7 Statistics for compound distributions; 3.8 The individual risk model; 3.8.1 The mean and variance for the individual risk model; 3.8.2 The distribution function and moment generating function for the individual risk model; 3.8.3 Approximations for the individual risk model; Exercises; 4: Model based pricing --
setting premiums; 4.1 Premium calculation principles; 4.1.1 The expected value principle (EVP); 4.1.2 The standard deviation principle (SDP); 4.1.3 The variance principle (VP); 4.1.4 The quantile principle (QP); 4.1.5 The zero utility principle (ZUP). 4.1.6 The exponential premium principle (EPP)4.1.7 Some desirable properties of premium calculation principles; 4.1.8 Other premium calculation principles; 4.2 Maximum and minimum premiums; 4.3 Introduction to credibility theory; 4.4 Bayesian estimation; 4.4.1 The posterior distribution; 4.4.2 The wider context of decision theory; 4.4.3 The binomial/beta model; 4.4.4 The Poisson/gamma model; 4.4.5 The normal/normal model; 4.5 Bayesian credibility theory; 4.5.1 Bayesian credibility estimates under the Poisson/gamma model; 4.5.2 Bayesian credibility premiums under the normal/normal model.
Series Title: International series on actuarial science.

Abstract:

A wide range of topics give students a firm foundation in statistical and actuarial concepts and their applications.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"A key feature is the inclusion of three detailed case studies that bring together a number of concepts and applications from different parts of the book and illustrate how they are used in Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/796383847> # Risk Modelling in General Insurance : From Principles to Practice.
    a schema:MediaObject, schema:Book, schema:CreativeWork ;
   library:oclcnum "796383847" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1083642514#Place/cambridge> ; # Cambridge
   schema:about <http://id.worldcat.org/fast/1098139> ; # Risk (Insurance)--Mathematical models
   schema:about <http://experiment.worldcat.org/entity/work/data/1083642514#Topic/business_&_economics_insurance_risk_assessment_&_management> ; # BUSINESS & ECONOMICS--Insurance--Risk Assessment & Management
   schema:about <http://experiment.worldcat.org/entity/work/data/1083642514#Topic/mathematics_applied> ; # MATHEMATICS--Applied
   schema:about <http://id.loc.gov/authorities/subjects/sh2010111070> ; # Risk (Insurance)--Mathematical models
   schema:about <http://dewey.info/class/368.01/> ;
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/232602415> ; # Susan M. Pitts
   schema:creator <http://viaf.org/viaf/233512939> ; # Roger J. Gray
   schema:datePublished "2012" ;
   schema:description "Cover; Risk Modelling in General Insurance; Series Page; Title; Copyright; Contents; Preface; 1: Introduction; 1.1 The aim of this book; 1.2 Notation and prerequisites; 1.2.1 Probability; 1.2.2 Statistics; 1.2.3 Simulation; 1.2.4 The statistical software package R; 2: Models for claim numbers and claim sizes; 2.1 Distributions for claim numbers; 2.1.1 Poisson distribution; 2.1.2 Negative binomial distribution; 2.1.3 Geometric distribution; 2.1.4 Binomial distribution; 2.1.5 A summary note on R; 2.2 Distributions for claim sizes; 2.2.1 A further summary note on R."@en ;
   schema:description "A wide range of topics to give students a firm foundation in statistical and actuarial concepts and their applications."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1083642514> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1083642514#Series/international_series_on_actuarial_science> ; # International series on actuarial science.
   schema:isSimilarTo <http://worldcat.org/entity/work/data/1083642514#CreativeWork/risk_modelling_in_general_insurance_from_principles_to_practice> ;
   schema:name "Risk Modelling in General Insurance : From Principles to Practice."@en ;
   schema:productID "796383847" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/796383847#PublicationEvent/cambridge_cambridge_university_press_2012> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1083642514#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:url <http://site.ebrary.com/id/10578228> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=458671> ;
   schema:url <http://dx.doi.org/10.1017/CBO9781139033756> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=944705> ;
   schema:url <http://0-dx.doi.org.oasis.unisa.ac.za/10.1017/CBO9781139033756> ;
   schema:url <http://www.myilibrary.com?id=368546> ;
   schema:workExample <http://worldcat.org/isbn/9781139516556> ;
   schema:workExample <http://worldcat.org/isbn/9781139518406> ;
   schema:workExample <http://worldcat.org/isbn/9781139033756> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/796383847> ;
    .


Related Entities

<http://0-dx.doi.org.oasis.unisa.ac.za/10.1017/CBO9781139033756>
   rdfs:comment "View full-text e-book at Cambridge.
Access restricted to Unisa staff and students
" ;
    .

<http://experiment.worldcat.org/entity/work/data/1083642514#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
   schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/1083642514#Series/international_series_on_actuarial_science> # International series on actuarial science.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/796383847> ; # Risk Modelling in General Insurance : From Principles to Practice.
   schema:name "International series on actuarial science." ;
   schema:name "International Series on Actuarial Science" ;
    .

<http://experiment.worldcat.org/entity/work/data/1083642514#Topic/business_&_economics_insurance_risk_assessment_&_management> # BUSINESS & ECONOMICS--Insurance--Risk Assessment & Management
    a schema:Intangible ;
   schema:name "BUSINESS & ECONOMICS--Insurance--Risk Assessment & Management"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1083642514#Topic/mathematics_applied> # MATHEMATICS--Applied
    a schema:Intangible ;
   schema:name "MATHEMATICS--Applied"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh2010111070> # Risk (Insurance)--Mathematical models
    a schema:Intangible ;
   schema:name "Risk (Insurance)--Mathematical models"@en ;
    .

<http://id.worldcat.org/fast/1098139> # Risk (Insurance)--Mathematical models
    a schema:Intangible ;
   schema:name "Risk (Insurance)--Mathematical models"@en ;
    .

<http://viaf.org/viaf/232602415> # Susan M. Pitts
    a schema:Person ;
   schema:familyName "Pitts" ;
   schema:givenName "Susan M." ;
   schema:name "Susan M. Pitts" ;
    .

<http://viaf.org/viaf/233512939> # Roger J. Gray
    a schema:Person ;
   schema:familyName "Gray" ;
   schema:givenName "Roger J." ;
   schema:name "Roger J. Gray" ;
    .

<http://worldcat.org/entity/work/data/1083642514#CreativeWork/risk_modelling_in_general_insurance_from_principles_to_practice>
    a schema:CreativeWork ;
   rdfs:label "Risk Modelling in General Insurance : From Principles to Practice." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/796383847> ; # Risk Modelling in General Insurance : From Principles to Practice.
    .

<http://worldcat.org/isbn/9781139033756>
    a schema:ProductModel ;
   schema:isbn "1139033751" ;
   schema:isbn "9781139033756" ;
    .

<http://worldcat.org/isbn/9781139516556>
    a schema:ProductModel ;
   schema:isbn "1139516558" ;
   schema:isbn "9781139516556" ;
    .

<http://worldcat.org/isbn/9781139518406>
    a schema:ProductModel ;
   schema:isbn "1139518402" ;
   schema:isbn "9781139518406" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.