Modeling the Amount of Carbon Dioxide Emissions Application: New Modified Alpha Power Weibull-X Family of Distributions

The use of statistical distributions to model life phenomena has received considerable attention in the literature. Recent studies have shown potential modeling data applied sciences, especially environmental sciences. Among them, Weibull distribution is one most well-known models that can be used very effectively for fields pollution and gas emissions, name a few. In this paper, we introduce family distributions, which call modified Alpha-Power Weibull-X distributions. Based on proposed family, new with five parameters, Weibull–Weibull distribution. Some mathematical properties were determined. Bayesian maximum likelihood estimates parameters derived. MLEs, bootstrap HPD credibility intervals unknown performed. A Monte Carlo simulation study was performed evaluate performance estimates. based model. An application carbon dioxide emissions dataset predict unique symmetric asymmetric patterns illustrate applicability For set, compared alpha power exponential two-parameter To show competing best, draw certain analytical tools such as Kolmogorov–Smirnov test. these measures, found outperforms models.