Asymptotic properties of maximum likelihood estimator for some discrete distributions generated by

In large-scale biomolecular sysrems there are frequency distribuions with properties like Stable Laws. It is of interest to construct such frequency distributions. In the present article we consider Cauchy stable law. The large-sample distribution of the Maximum Likelihood Estimator (M.L.E.) of the...

Full description

Bibliographic Details
Main Authors: Davood Farbod, Karen V. Gasparian
Format: Article
Language:English
Published: University of Bologna 2013-05-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/3537
Description
Summary:In large-scale biomolecular sysrems there are frequency distribuions with properties like Stable Laws. It is of interest to construct such frequency distributions. In the present article we consider Cauchy stable law. The large-sample distribution of the Maximum Likelihood Estimator (M.L.E.) of the scale parameter for some discrete distributions generated by Cauchy stable law are investigated. The existence, strong consistency, asymptotic normality and asymptotic efficiency of that is established.
ISSN:0390-590X
1973-2201