Article ID Journal Published Year Pages File Type
1153137 Statistics & Probability Letters 2009 5 Pages PDF
Abstract

This paper provides precise arguments to explain the anomalous behavior of the likelihood surface when sampling from the generalized Pareto distribution for small or moderate samples. The behavior of the profile-likelihood function is characterized in terms of the empirical coefficient of variation. A sufficient condition is given for the global maximum of the likelihood function of the Pareto distribution to be at a finite point.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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