A New Generalization of Weighted Remkan Distribution Properties and Its Applications

Abstract

     In this paper, a new three-parameter distribution, known as the Weighted Remkan Distribution.  It extensively explores the probability density function (PDF), the cumulative distribution function (CDF), and its statistical properties, including the moment-generating function (MGF), various entropy measures, order statistics, Bonferroni and Lorenz curves, harmonic mean, survival and hazard functions, reverse hazard rate, and moments. The maximum likelihood estimation (MLE) method is utilized for parameter estimation. The application of the distribution is demonstrated using serum creatinine data from diabetic patients with chronic kidney disease data sets, and the goodness of fit for the weighted Remkan distribution has been compared with other existing distributions.