This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 587
Type: Contributed
Date/Time: Wednesday, August 4, 2010 : 2:00 PM to 3:50 PM
Sponsor: Health Policy Statistics Section
Abstract - #306580
Title: Modeling Dependent Yearly Claim Totals Including Zero-Claims in Private Health Insurance
Author(s): Vinzenz Erhardt*+ and Claudia Czado
Companies: Technische Universitaet Muenchen and Technische Universitaet Muenchen
Address: , , ,
Keywords: dependence modeling ; health insurance ; pair-copula-constructions ; zero-claim
Abstract:

In insurance applications yearly claim totals of different coverage fields are often dependent. In many cases there are numerous claim totals which are zero. A marginal claim distribution will have an additional point mass at zero, hence this probability function will not be continuous at zero and the cdfs will not be uniform. Therefore using a copula approach to model dependency is not straightforward. We will illustrate how to express the joint probability function by copulas with discrete and continuous margins. A pair copula construction will be used for the fit of the continuous copula allowing to choose appropriate copulas for each pair of margins.


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