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.
Highlights
Modeling complicated problems is an enigma for applied researchers and practitioners. ey seem to be worried about dealing with a variety of lifetime datasets that follows physical and natural sciences
We develop a new class of distributions called the new exponentiated-G (NE-G) family and study one of its special submodels using the power function (PF) distributions as a baseline model
We develop a new class that generates optimal univariate continuous models called the new exponentiated-G class
Summary
Modeling complicated problems is an enigma for applied researchers and practitioners. ey seem to be worried about dealing with a variety of lifetime datasets that follows physical and natural sciences. Ey seem to be worried about dealing with a variety of lifetime datasets that follows physical and natural sciences They are searching for simple and efficient models. A power function (PF) distribution is explored It is a simple lifetime model as exponential and Pareto distributions. We develop a new class of distributions called the new exponentiated-G (NE-G) family and study one of its special submodels using the PF distributions as a baseline model. E studied model is called the exponentiated power function (EPF) distribution. E present study has some motivations as follows: (a) to develop new optimal models; (b) to advance the characteristics of the baseline models; (c) the density and hazard rate functions possess unimodal and bathtub-shaped curves, respectively; (d) to model the realtime scenario in the automobile sector.
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