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A Pareto scale-inflated outlier model and its Bayesian analysis

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  • David P.M. Scollnik

Abstract

This paper develops a Pareto scale-inflated outlier model. This model is intended for use when data from some standard Pareto distribution of interest is suspected to have been contaminated with a relatively small number of outliers from a Pareto distribution with the same shape parameter but with an inflated scale parameter. The Bayesian analysis of this Pareto scale-inflated outlier model is considered and its implementation using the Gibbs sampler is discussed. The paper contains three worked illustrative examples, two of which feature actual insurance claims data.

Suggested Citation

  • David P.M. Scollnik, 2015. "A Pareto scale-inflated outlier model and its Bayesian analysis," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2015(3), pages 201-220, April.
  • Handle: RePEc:taf:sactxx:v:2015:y:2015:i:3:p:201-220
    DOI: 10.1080/03461238.2013.807469
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