A Faculty Member from the Department of Mathematics Publishes a Global Research Paper.
Asst. Prof. Dr. Hazem Ghadeeb Kalt from the Department of Mathematics published a research paper titled
Alpha Power Type II-G Family: Adding a Power Parameter to Distributions.
In the journal Mathematical Modeling of Engineering Problems within the Scopus Q3 classification.
The research aimed to discover a new family of distributions called the Alpha Power Type II-G Family (APII-G), which represents a pioneering modeling strategy for examining data governed by univariate continuous distributions. This family aims to enhance the modeling capabilities of continuous prior distributions to better fit data using a new function that incorporates the additional power parameter.
The research included an innovative methodology applied to two continuous distributions: first, the single-parameter exponential distribution, which produced a new two-parameter distribution, the Alpha Type II Exponential Distribution (APIIE), and second, the two-parameter Weibull distribution, which produced a new three-parameter distribution, the Alpha Type II Exponential Distribution (APIIW). Furthermore, the statistical properties, functions, and parameter estimates of the two distributions were examined.
The study demonstrated experimentally that the two proposed models outperformed asymptotic distributions compared to them using multiple goodness-of-fit criteria, such as the Akaike Information Criterion (AIC), the Bayesian Information Criterion (BIC), the Corrected Hannan-Quinn Information Criterion (CAIC), and the Hannan-Quinn Information Criterion (HQIC), on real datasets.
