English

A Pareto scale-inflated outlier model and its Bayesian analysis

Methodology 2016-11-03 v1

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.

Keywords

Cite

@article{arxiv.1611.00717,
  title  = {A Pareto scale-inflated outlier model and its Bayesian analysis},
  author = {David P. M. Scollnik},
  journal= {arXiv preprint arXiv:1611.00717},
  year   = {2016}
}

Comments

30 pages, 8 figures

R2 v1 2026-06-22T16:40:02.876Z