Article ID Journal Published Year Pages File Type
1151076 Statistical Methodology 2013 11 Pages PDF
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
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