Double Weighted Exponentiated Rayleigh Distribution (Properties and Estimation)
Abstract
This study describes the statistical characteristics of new probability distribution called Double Weighted Exponentiated Rayleigh Distribution, including probability, cumulative, reliability, hazard and reverse hazard functions, moments and the moment generating function, some important coefficients and others. The unknown scale parameter for this distribution estimated using two different styles which are the moments and the maximum likelihood estimation methods. Later, a simulation study employing the mean square errors criteria is carried out in order to determine which of these two estimators is the most accurate. The moment estimator has been determined to be the most effective for all sample sizes
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