Likelihood Geometry of the Gumbel's Type-I Bivariate Exponential Distribution
Pooja Yadav, Tanuja Srivastava
TL;DR
This paper investigates the algebraic properties of the maximum likelihood equations for Gumbel's Type-I bivariate exponential distribution, focusing on the maximum likelihood degree of its association parameter.
Contribution
It applies algebraic techniques to determine the maximum likelihood degree of the association parameter in this distribution, providing new insights into its statistical properties.
Findings
Calculated the maximum likelihood degree for the association parameter.
Provided algebraic characterization of the likelihood equations.
Enhanced understanding of the distribution's algebraic structure.
Abstract
In algebraic statistics, the maximum likelihood degree of a statistical model refers to the number of solutions (counted with multiplicity) of the score equations over the complex field. In this paper, the maximum likelihood degree of the association parameter of Gumbel's Type-I bivariate exponential distribution is investigated using algebraic techniques.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Advanced Statistical Methods and Models