Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151076 | Statistical Methodology | 2013 | 11 Pages |
Abstract
In this paper, we examine and correct various results relating to estimation of a Pareto distribution in the presence of outliers according to a model introduced by Dixit and Jabbari Nooghabi (2011) [1] and further studied by Dixit and Jabbari Nooghabi (2011) [2]. In particular, Dixit and Jabbari Nooghabi (2011) [2] state that the maximum likelihood estimators for the parameters appearing in their model do not exist. We show that these estimators can in fact exist, and we present and illustrate a method for determining them when they do. Two numerical illustrations using actual insurance data are included.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
David P.M. Scollnik,