Title
Bootstrap control charts in monitoring value at risk in insurance
Abstract
A risk measure is a mapping from the random variables representing the risks to a number. It is estimated using historical data and utilized in making decisions such as allocating capital to each business line or deposit insurance pricing. Once a risk measure is obtained, an efficient monitoring system is required to quickly detect any drifts in the risk measure. This paper investigates the problem of detecting a shift in value at risk as the most widely used risk measure in insurance companies. The probabilistic C control chart and the parametric bootstrap method are employed to establish a risk monitoring scheme in insurance companies. Since the number of claims in a period is a random variable, the proposed method is a variable sample size scheme. Monte Carlo simulations for Weibull, Burr XII, Birnbaum-Saunders and Pareto distributions are carried out to investigate the behavior and performance of the proposed scheme. In addition, a real example from an insurance company is presented to demonstrate the applicability of the proposed method.
Year
DOI
Venue
2013
10.1016/j.eswa.2013.05.028
Expert Syst. Appl.
Keywords
Field
DocType
insurance company,variable sample size scheme,risk monitoring scheme,random variable,bootstrap control chart,parametric bootstrap method,proposed scheme,risk measure,deposit insurance pricing,efficient monitoring system,control chart,quantile,bootstrap
Econometrics,Random variable,Deposit insurance,Computer science,Control chart,Dynamic risk measure,Statistics,Deviation risk measure,Risk measure,Value at risk,Pareto principle
Journal
Volume
Issue
ISSN
40
15
0957-4174
Citations 
PageRank 
References 
9
0.69
12
Authors
2
Name
Order
Citations
PageRank
B. Abbasi114519.89
Montserrat Guillen2497.83