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Asymptotic Properties of Moment Estimators for Distributions Generated by Levy’s Law

D. Farbod, K. Arzideh


Discrete distributions generated by Levy’s Law have been proposed as a model for application to large-scale biomolecular systems. One of the most important problems for such discrete distributions is the statistical analysis of parameters estimators. In this paper, we consider the moment estimators (ME) of the scale parameter 'gamma' for this distributions. The existence, strong consistency and asymptotic normality of the ME for the scale parameter 'gamma' are shown.


Asymptotic properties, Levy Distribution, Moment Estimators (ME).

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