Bayesian Claims Reserving Methods in Non-life Insurance with Stan - An Introduction

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.  

List of contents

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.

About the author

Guangyuan Gao, lecturer in actuarial science, School of Statistics at the Renmin University of China.

Summary

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.  

Product details

• Authors: Guangyuan Gao
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2019
• EAN: 9789811336089
• ISBN: 978-981-1336-08-9
• No. of pages: 205
• Dimensions: 156 mm x 242 mm x 18 mm
• Weight: 472 g
• Illustrations: XII, 205 p. 72 illus., 62 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Natural sciences (general); B, Economics, finance, business & management, Statistics, Economic theory & philosophy, Economic Theory, Mathematics and Statistics, Probability & statistics, Quantitative Economics, Economic Theory/Quantitative Economics/Mathematical Methods, Bayesian Inference