Bias-corrected MLE and new variance-corrected MLE for Median Based Unit Weibull

In this code the author, Iman Mohamed Attia, explains the algorithm to calculate the bias after estimating the parameters of the newly invented distribution, Median-Based Unit Weibull (MBUW) by the auhtor. The new approch named, by the author, as the variance-corrected MLE is applied to estimate the parameters which exhibit high depndency. The variance-corrected MLE approach helps mitigate this dependecny. And after applying the bias correction , the results are nearly identical to the outcomes before bias adjustment procedure. Thus, this new variance-corrected MLE approach can be consired as a promising option to minimize the variance especially in small sample size. The code is applied to factors affecting unit capacity previously mentioned and discussed by Maya et all 2024.