Abstract

A STUDY ON THE MOMENTS AND PERFORMANCE OF THE MAXIMUM LIKELIHOOD ESTIMATES (MLE) OF THE BETA DISTRIBUTION

*F. Opone & N. Ekhosuehi

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Abstract This paper review some basic properties of the beta distribution which includes the shape of the density function, cumulative distribution function and the moments. The maximum likelihood estimation method was used in estimating the parameters of the distribution and a simulation study was conducted to examine the performance and accuracy of the maximum likelihood estimate of the parameters of the distribution. An estimation of the theoretical moments revealed that beta distribution is symmetry (asymmetry), leptokurtic and platykurtic at different values of the parameters. The simulation result shows that the parameters of the distribution is consistent and asymptotically unbiased. Keyword: Moments; Maximum likelihood estimate; Beta distribution

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