Estimation of the density and cumulative distribution functions of the exponentiated Burr XII distribution

Abstract The exponentiated Burr Type XII (EBXII) distribution has wide applications in reliability and economic studies. In this article, the estimation of probability density function cumulative EBXII is considered. We examine maximum likelihood estimator, uniformly minimum variance unbiased least squares weighted product spacing Cramér–von-Mises Anderson–Darling estimator. derive analytical forms for bias mean square error. A simulation study performed to investigate consistency suggested methods estimation. Data relating wind speed service times aircraft windshields are used with studied methods. studies real data have revealed that estimator performs more efficiently than its remaining counterparts.