PROPERTIES AND APPLICATION OF ALPHA LOGARITHM TRANSFORMED SINE WEIBULL DISTRIBUTION

In this research, we introduced a new submodel of the alpha logarithm transform sine-X family of distributions, called the alpha logarithm transform sine-Weibull. We derived its statistical properties, including survival function, hazard function, moments, moment-generating function, and order statistics. We also estimated the parameters using the maximum likelihood method. The performance of the maximum likelihood estimators was evaluated in terms of mean, bias, and root mean squared errors through two simulation studies. Furthermore, the practicality of this family was demonstrated using COVID-19 mortality data from Saudi Arabia and milk output data sets, where the proposed model consistently provided better fits compared to other existing distributions.