Computational Actuarial Science with R

Computational Actuarial Science with R

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Features

  • Presents a broad introduction to various computational aspects of actuarial science
  • Focuses on the implementation of existing models using simple R code
  • Assumes familiarity with actuarial science
  • Provides the datasets in an R package on CRAN, enabling you to experiment with the data and models

Summary

A Hands-On Approach to Understanding and Using Actuarial Models

Computational Actuarial Science with R provides an introduction to the computational aspects of actuarial science. Using simple R code, the book helps you understand the algorithms involved in actuarial computations. It also covers more advanced topics, such as parallel computing and C/C++ embedded codes.

After an introduction to the R language, the book is divided into four parts. The first one addresses methodology and statistical modeling issues. The second part discusses the computational facets of life insurance, including life contingencies calculations and prospective life tables. Focusing on finance from an actuarial perspective, the next part presents techniques for modeling stock prices, nonlinear time series, yield curves, interest rates, and portfolio optimization. The last part explains how to use R to deal with computational issues of nonlife insurance.

Taking a do-it-yourself approach to understanding algorithms, this book demystifies the computational aspects of actuarial science. It shows that even complex computations can usually be done without too much trouble. Datasets used in the text are available in an R package (CASdatasets) from CRAN.

Table of Contents

Introduction Arthur Charpentier and Rob Kaas

Methodology
Standard Statistical Inference Christophe Dutang

Bayesian Philosophy Arthur Charpentier and Ben Escoto

Statistical Learning Arthur Charpentier and Stéphane Tufféry

Spatial Analysis Renato Assunção, Marcelo Azevedo Costa, Marcos Oliveira Prates, and Luís Gustavo Silva e Silva

Reinsurance and Extremal Events Eric Gilleland and Mathieu Ribatet

Life Insurance
Life Contingencies Giorgio Spedicato

Prospective Life Tables Heather Booth, Rob J. Hyndman, and Leonie Tickle

Prospective Mortality Tables and Portfolio Experience Julien Tomas and Frédéric Planchet

Survival Analysis Frédéric Planchet and Pierre-E. Thérond

Finance
Stock Prices and Time Series Yohan Chalabi and Diethelm Würtz

Yield Curves and Interest Rates Models Sergio S. Guirreri

Portfolio Allocation Yohan Chalabi and Diethelm Würtz

Non-Life Insurance
General Insurance Pricing Jean-Philippe Boucher and Arthur Charpentier

Longitudinal Data and Experience Rating Katrien Antonio, Peng Shi, and Frank van Berkum

Claims Reserving and IBNR Markus Gesmann

Bibliography

Index

R Command Index

Editor Bio(s)

Arthur Charpentier is a professor of actuarial science at the University of Québec at Montréal. He is a fellow of the French Institute of Actuaries and holds a PhD in applied mathematics from K.U. Leuven. Dr. Charpentier is the co-author of two textbooks on mathematical models of nonlife insurance and has published several articles in peer-reviewed journals. He is also the editor of the blog freakonometrics.hypotheses.org

 
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