An introduction to parametric and non-parametric models for bivariate positive insurance claim severity distributions

David Pitt () and Montserrat Guillen
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David Pitt: Dept. Economics, University of Melbourne

No XREAP2010-03, Working Papers from Xarxa de Referència en Economia Aplicada (XREAP)

Abstract: We present a real data set of claims amounts where costs related to damage are recorded separately from those related to medical expenses. Only claims with positive costs are considered here. Two approaches to density estimation are presented: a classical parametric and a semi-parametric method, based on transformation kernel density estimation. We explore the data set with standard univariate methods. We also propose ways to select the bandwidth and transformation parameters in the univariate case based on Bayesian methods. We indicate how to compare the results of alternative methods both looking at the shape of the overall density domain and exploring the density estimates in the right tail.

Pages: 25 pages
Date: 2010-03, Revised 2010-03
New Economics Papers: this item is included in nep-ecm and nep-ias
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Citations: View citations in EconPapers (1)

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http://www.xreap.cat/RePEc/xrp/pdf/XREAP2010-3.pdf First version, 2010 (application/pdf)
http://www.xreap.cat/RePEc/xrp/pdf/XREAP2010-3.pdf Revised version, 2010 (application/pdf)

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