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Bayesian Claims Reserving Methods in Non-life Insurance with Stan
An Introduction
Buch von Guangyuan Gao
Sprache: Englisch

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Beschreibung
This book first provides a review of various aspects of Bayesian statistics. It then investigates three types of claims reserving models in the Bayesian framework: chain ladder models, basis expansion models involving a tail factor, and multivariate copula models. For the Bayesian inferential methods, this book largely relies on Stan, a specialized software environment which applies Hamiltonian Monte Carlo method and variational Bayes.
This book first provides a review of various aspects of Bayesian statistics. It then investigates three types of claims reserving models in the Bayesian framework: chain ladder models, basis expansion models involving a tail factor, and multivariate copula models. For the Bayesian inferential methods, this book largely relies on Stan, a specialized software environment which applies Hamiltonian Monte Carlo method and variational Bayes.
Über den Autor
Guangyuan Gao, lecturer in actuarial science, School of Statistics at the Renmin University of China.

Zusammenfassung

The first book provides explicit Stan code for non-life claims reserving

The book has a thorough review of many aspects of Bayesian statistics, and relates them to claims reserving problem

The book addresses three important points in claims reserving: proposing a stochastic payments per claim incurred model (Section 4), estimating the tail factor via basis expansion models (Section 5), and aggregating claims liabilities by copulas (Section 6)

Inhaltsverzeichnis
Chapter1 Introduction.- Chapter2 Bayesian Fundamentals.- Chapter3 Advanced Bayesian Computation.- Chapter4 Bayesian Chain Ladder Models.- Chapter5 Bayesian Basis Expansion Models.- Chapter6 Multivariate Modelling Using Copulas.- Chapter7 Epilogue.
Details
Erscheinungsjahr: 2019
Genre: Technik allg.
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 220
Inhalt: xii
205 S.
10 s/w Illustr.
62 farbige Illustr.
205 p. 72 illus.
62 illus. in color.
ISBN-13: 9789811336089
ISBN-10: 9811336083
Sprache: Englisch
Herstellernummer: 978-981-13-3608-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gao, Guangyuan
Auflage: 1st ed. 2018
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 241 x 160 x 18 mm
Von/Mit: Guangyuan Gao
Erscheinungsdatum: 17.01.2019
Gewicht: 0,5 kg
preigu-id: 114893679
Über den Autor
Guangyuan Gao, lecturer in actuarial science, School of Statistics at the Renmin University of China.

Zusammenfassung

The first book provides explicit Stan code for non-life claims reserving

The book has a thorough review of many aspects of Bayesian statistics, and relates them to claims reserving problem

The book addresses three important points in claims reserving: proposing a stochastic payments per claim incurred model (Section 4), estimating the tail factor via basis expansion models (Section 5), and aggregating claims liabilities by copulas (Section 6)

Inhaltsverzeichnis
Chapter1 Introduction.- Chapter2 Bayesian Fundamentals.- Chapter3 Advanced Bayesian Computation.- Chapter4 Bayesian Chain Ladder Models.- Chapter5 Bayesian Basis Expansion Models.- Chapter6 Multivariate Modelling Using Copulas.- Chapter7 Epilogue.
Details
Erscheinungsjahr: 2019
Genre: Technik allg.
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 220
Inhalt: xii
205 S.
10 s/w Illustr.
62 farbige Illustr.
205 p. 72 illus.
62 illus. in color.
ISBN-13: 9789811336089
ISBN-10: 9811336083
Sprache: Englisch
Herstellernummer: 978-981-13-3608-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gao, Guangyuan
Auflage: 1st ed. 2018
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 241 x 160 x 18 mm
Von/Mit: Guangyuan Gao
Erscheinungsdatum: 17.01.2019
Gewicht: 0,5 kg
preigu-id: 114893679
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