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Loss Models Further Topics.

Detalles Bibliográficos
Autor principal: Klugman, Stuart A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2013.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 1118573684 
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082 0 4 |a 368/.01  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Klugman, Stuart A. 
245 1 0 |a Loss Models  |h [electronic resource] :  |b Further Topics. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2013. 
300 |a 1 online resource (370 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Cover -- Title Page -- Copyright Page -- CONTENTS -- Preface -- 1 Introduction -- 2 Coxian and related distributions -- 2.1 Introduction -- 2.2 Combinations of exponentials -- 2.3 Coxian-2 distributions -- 3 Mixed Erlang distributions -- 3.1 Introduction -- 3.2 Members of the mixed Erlang class -- 3.3 Distributional properties -- 3.4 Mixed Erlang claim severity models -- 4 Extreme value distributions -- 4.1 Introduction -- 4.2 Distribution of the maximum -- 4.2.1 From a fixed number of losses -- 4.2.2 From a random number of losses 
505 8 |a 4.3 Stability of the maximum of the extreme value distribution -- 4.4 The Fisher-Tippett theorem -- 4.5 Maximum domain of attraction -- 4.6 Generalized Pareto distributions -- 4.7 Stability of excesses of the generalized Pareto -- 4.8 Limiting distributions of excesses -- 4.9 Parameter estimation -- 4.9.1 Maximum likelihood estimation from the extreme value distribution -- 4.9.2 Maximum likelihood estimation for the generalized Pareto distribution -- 4.9.3 Estimating the Pareto shape parameter -- 4.9.4 Estimating extreme probabilities -- 4.9.5 Mean excess plots -- 4.9.6 Further reading 
505 8 |a 4.9.7 Exercises -- 5 Analytic and related methods for aggregate claim models -- 5.1 Introduction -- 5.2 Elementary approaches -- 5.3 Discrete analogues -- 5.4 Right-tail asymptotics for aggregate losses -- 5.4.1 Exercises -- 6 Computational methods for aggregate models -- 6.1 Recursive techniques for compound distributions -- 6.2 Inversion methods -- 6.2.1 Fast Fourier transform -- 6.2.2 Direct numerical inversion -- 6.3 Calculations with approximate distributions -- 6.3.1 Arithmetic distributions -- 6.3.2 Empirical distributions -- 6.3.3 Piecewise linear cdf -- 6.3.4 Exercises 
505 8 |a 6.4 Comparison of methods -- 6.5 The individual risk model -- 6.5.1 De.nition and notation -- 6.5.2 Direct calculation -- 6.5.3 Recursive calculation -- 7 Counting Processes -- 7.1 Nonhomogeneous birth processes -- 7.1.1 Exercises -- 7.2 Mixed Poisson processes -- 7.2.1 Exercises -- 8 Discrete Claim Count Models -- 8.1 Unification of the (a, b, 1) and mixed Poisson classes -- 8.2 A class of discrete generalized tail-based distributions -- 8.3 Higher order generalized tail-based distributions -- 8.4 Mixed Poisson properties of generalized tail-based distributions 
505 8 |a 8.5 Compound geometric properties of generalized tail-based distributions -- 8.5.1 Exercises -- 9 Compound distributions with time dependent claim amounts -- 9.1 Introduction -- 9.2 A model for infiation -- 9.3 A model for claim payment delays -- 10 Copula models -- 10.1 Introduction -- 10.2 Sklar's theorem and copulas -- 10.3 Measures of dependency -- 10.3.1 Spearman's rho -- 10.3.2 Kendall's tau -- 10.4 Tail dependence -- 10.5 Archimedean copulas -- 10.5.1 Exercise -- 10.6 Elliptical copulas -- 10.6.1 Exercise -- 10.7 Extreme value copulas -- 10.7.1 Exercises -- 10.8 Archimax copulas 
500 |a 10.9 Estimation of parameters 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
776 0 8 |i Print version:  |a Klugman, Stuart A.  |t Loss Models  |d Newark : John Wiley & Sons, Incorporated,c2013  |z 9781118343562 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103821  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103821 
994 |a 92  |b IZTAP