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Local Transformation Kernel Density Estimation of Loss Distributions

Publication date2006-01-01
First online date2006
Abstract

We develop a tailor made semiparametric asymmetric kernel density estimator for the estimation of actuarial loss distributions. The estimator is obtained by transforming the data with the generalized Champernowne distribution initially fitted to the data. Then the density of the transformed data is estimated by use of local asymmetric kernel methods to obtain superior estimation properties in the tails. We find in a vast simulation study that the proposed semiparametric estimation procedure performs well relative to alternative estimators. An application to operational loss data illustrates the proposed method.

Keywords
  • Ctuarial loss models
  • Transformation
  • Champernowne distri- bution
  • Asymmetric kernels
  • Local likelihood estimation
Citation (ISO format)
GUSTAFSSON, Jim et al. Local Transformation Kernel Density Estimation of Loss Distributions. In: Journal of business & economic statistics, 2006, p. 38. doi: 10.2139/ssrn.947105
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accessLevelPublic
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Additional URL for this publicationhttps://www.ssrn.com/abstract=947105
Journal ISSN0735-0015
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