Comparing Some Estimators of a Scale Parameter for Pranav Distribution

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Ahmed Mohammed Mustafa, Sabah Haseeb Hasan

Abstract

In this article, the problem of estimating the parameter of one of the recently introduced lifetime distributions known as the Pranav distribution is studied. The estimation of the scale parameter was addressed using the moments method, maximum likelihood method and the proposal to use the ordinary least squares method for the purpose of estimating the scale parameter of this distribution. The simulation results showed for different sample sizes and default values ​​for the parameter, the proposed estimator was much better than the performance of other estimators, as in the most expensive cases the mean square error value of the proposed parameter using ordinary least squares method was less than its value for the parameters obtained using other methods.

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