Abstract
In probability theory, researchers always prefer a model having simple structure with small estimation cost and higher adequacy for
real life data applications. Therefore, in this study we have developed a
simple power Burr X (PBX) distribution with an additional shape parameter. We have studied the shapes of the developed distribution with respect
to subfamilies depends on the additional parameter. This study reveals
some structural properties of this new model such as moments, stochastic
ordering, quantile function and Rnyi entropy. We have also developed a
location-scale regression model for log power Burr X (LPBX) distribution
to enhance its application in survival analysis. To observe the behavior of
estimated parameters, we have conducted a Monte Carlo simulation study
under maximum likelihood (ML) estimation and observed efficiencies by
means of bias and mean square errors. Three life-time applications from
different industries justified the adequacy, flexibility and potentiality of
PBX distribution as compared to other higher parametric complex generalizations.
Maryam Ilyas, Rana Muhammad Usman. (2020) The Power Burr Type X Distribution: Properties, Regression Modeling and Applications, Punjab University Journal of Mathematics, Volume 52 , Issue No 8.
-
Views
724 -
Downloads
92
Article Details
Volume
Issue
Type
Language
