Scientific article
OA Policy
English

Local Transformation Kernel Density Estimation of Loss Distributions

Published inJournal of business & economic statistics, vol. 27, no. 2, p. 161-175
Publication date2009
Abstract

We develop a tailor made semiparametric asymmetric kernel density estimator for the es- timation of actuarial loss distributions. The estimator is obtained by transforming the data with the generalized Champernowne distribution initially fitted to the data. Then the den- sity 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 pro- posed semiparametric estimation procedure performs well relative to alternative estimators. An application to operational loss data illustrates the proposed method.

Keywords
  • Actuarial loss models
  • Transformation
  • Champernowne distri- bution
  • Asymmetric kernels
  • Local likelihood estimation
Citation (ISO format)
GUSTAFSSON, J. et al. Local Transformation Kernel Density Estimation of Loss Distributions. In: Journal of business & economic statistics, 2009, vol. 27, n° 2, p. 161–175. doi: 10.1198/jbes.2009.0011
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Article (Accepted version)
accessLevelPublic
Identifiers
Journal ISSN0735-0015
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