New polynomial exponential distribution: properties and applications
New polynomial exponential distribution: properties and applications
Author(s): Abdelfateh Beghriche, Halim Zeghdoudi, Vinoth Raman, Sarra ChouiaSubject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: exponential distribution; Xgamma distribution; Lindley distribution; quantile function stochastic ordering; maximum-likelihood estimation; XLindley distribution;
Summary/Abstract: The study describes the general concept of the XLindley distribution. Forms of density andhazard rate functions are investigated. Moreover, precise formulations for several numericalproperties of distributions are derived. Extreme order statistics are established usingstochastic ordering, the moment method, the maximum likelihood estimation, entropiesand the limiting distribution. We demonstrate the new family's adaptability by applying itto a variety of real-world datasets.
Journal: Statistics in Transition. New Series
- Issue Year: 23/2022
- Issue No: 3
- Page Range: 95-112
- Page Count: 17
- Language: English
