A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Abstract

In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data.

Exploring the Dynamics of COVID-19 with a Novel Family of Models

“…As a consequence, generated families (G families) are established by modifying the baseline distribution by one or more additional shape parameters. Some of the well-known families recently developed by notable authors include: the Marshall-Olkin family generated by [9], QRTM by [10], Beta generated by [11], Gamma generated by [12], Kumaraswamy generated by [13], T-X family generated by [14], Weibull generated by [15], Type-I-Half-Logistic generated by [16], Topp-Leone generated by [17], and new power class by [18], to mention a few. Readers who are interested in learning more about the COVID-19 mortality and the analysis are encouraged to refer to the work of Al-Babtain et al [19], Liu et al [20], Nagy et al [21], Hossam et al [22], Riad et al [23], Alsuhabi et al [24], and Meriem et al [25].…”

A new alpha logarithmic-generated class to model precipitation data with theory and inference

“…Furthermore, the authors of the study draw the readers' attention to several other prominent works in the area of generated classes (G-classes), including those by Marshall and Olkin [ 13 ], Shaw and Buckley [ 14 ], Eugene et al [ 15 ], Pourreza et al [ 16 ], Cordeiro and de Castro [ 17 ], Alzaatreh et al [ 18 ], Bourguignon et al [ 19 ], Cordeiro et al [ 20 ], Al-Shomrani et al [ 21 ], Al Mutairi et al [ 22 ], Al-Babtain et al [ 23 ], Alghamdi and Abd El-Raouf [ 24 ], and numerous others.…”