Useful Extensions of the Juchez Probability Distribution: Properties and Application
Udochukwu Victor Echebiri *
Department of Statistics, Faculty of Physical Sciences, University of Benin, Benin, Nigeria.
Emwinloghosa Kenneth Guobadia
Department of Administration, Federal Medical Centre, Asaba, Delta State, Nigeria.
John Paul Kenechukwu Iwuchukwu
Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.
Nosakhare Liberty Osawe
Department of Statistics, Faculty of Physical Sciences, University of Benin, Benin, Nigeria.
Stanley Imaguomwanruo Moses
Planning Department, Ministry of Finance, Budget, Economic Planning and Development, Edo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper investigates the inverse and power Juchez distribution. Some relevant properties are studied, and the distributions can altogether model many varieties of datasets emanating from different life phenomena. And then, a generator for other generalized distributions termed Juchez-G is developed to suffice for the relevance of robust model development. Finally, IJD and PJD showed to be a better fit over both the baseline distribution and their respective counterpart distributions, with respect to the datasets used. The proposed method is interesting and the performance is superior.
Keywords: Inverse transformation, power transformation, Juchez-G; hazard shapes, AIC, baseline distribution