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Titlebook: Non-Life Insurance Pricing with Generalized Linear Models; Esbjörn Ohlsson,Björn Johansson Textbook 2010 Springer-Verlag Berlin Heidelberg

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书目名称Non-Life Insurance Pricing with Generalized Linear Models
编辑Esbjörn Ohlsson,Björn Johansson
视频video
概述Written for actuaries and actuariel students.Meets the European Core Syllabus for actuarial education.Additional real data for deeper understanding available.Includes supplementary material:
丛书名称EAA Series
图书封面Titlebook: Non-Life Insurance Pricing with Generalized Linear Models;  Esbjörn Ohlsson,Björn Johansson Textbook 2010 Springer-Verlag Berlin Heidelberg
描述.Non-life insurance pricing is the art of setting the price of an insurance policy, taking into consideration varoius properties of the insured object and the policy holder. Introduced by British actuaries generalized linear models (GLMs) have become today a the standard aproach for tariff analysis...The book focuses on methods based on GLMs that have been found useful in actuarial practice and provides a set of tools for a tariff analysis. Basic theory of GLMs in a tariff analysis setting is presented with useful extensions of standarde GLM theory that are not in common use...The book meets the European Core Syllabus for actuarial education and is written for actuarial students as well as practicing actuaries. To support reader real data of some complexity are provided at www.math.su.se/GLMbook..
出版日期Textbook 2010
关键词Factor; GLM; Generalized linear model; Non-life insurance; SAS; Tariff analysis; complexity; education; mode
版次1
doihttps://doi.org/10.1007/978-3-642-10791-7
isbn_softcover978-3-642-10790-0
isbn_ebook978-3-642-10791-7Series ISSN 1869-6929 Series E-ISSN 1869-6937
issn_series 1869-6929
copyrightSpringer-Verlag Berlin Heidelberg 2010
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The Basics of Pricing with GLMs, dependent variable . varies with the covariates . in a multiple linear regression. In this chapter we introduce the class of Generalized Linear Models (GLMs), which generalizes the linear regression model in two directions: (i) instead of the normal distribution, GLMs work with a general class of d
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Multi-Level Factors and Credibility Theory, variables can not be analyzed by GLMs, since such a large number of parameters cannot be estimated with reasonable accuracy. This kind of variables are studied in the branch of insurance mathematics called .. After having introduced the classical Bühlmann-Straub model for a MLF, we show how credibi
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Generalized Additive Models,iances leads to the use of cubic splines, a well-known tool in numerical analysis. Representing cubic splines in terms of so called B-splines makes it possible to formulate an estimation problem in terms of a number of unknown parameters. The resulting equations and their solution is studied in deta
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Textbook 2010he European Core Syllabus for actuarial education and is written for actuarial students as well as practicing actuaries. To support reader real data of some complexity are provided at www.math.su.se/GLMbook..
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The Basics of Pricing with GLMs,ear function of the .’s, having the multiplicative model that we need as a special case. We derive estimators of the regression parameters and apply them to the moped example. The chapter ends by a case study (a larger exercise that requires computer assistance) on motor cycle insurance.
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