Odd Generalized Rayleigh- Exponential distribution Statistical Properties with Real Data Application

Monef, ِAli Mahmood

doi:10.32894/kujss.2024.152614.1172

Odd Generalized Rayleigh- Exponential distribution Statistical Properties with Real Data Application

Document Type : Research Paper

Author

ِAli Mahmood Monef

Kirkuk Education Directorate, Ministry of Education, Kirkuk,Iraq.

10.32894/kujss.2024.152614.1172

Abstract

In this paper we offer a new distribution due to the most common problem for researchers is to determine a statistical model for analyzing lifetime data. There are many ways to add a scaling parameter or a shape parameter by generalizing the distributions. So statistical model called the Generalized Rayleigh Exponential Distribution (OGRE) is presented. Some different properties of this distribution including moments, moment generating function, hazard function, survival function, ordered statistics and piecewise function are studied. Maximum likelihood estimators are used to estimate the parameters. In addition, the practical significance of )OGRE( is demonstrated by two real data sets and the results are compared with a set of other related distributions. simulation is also performed

Keywords

Survival function

Hazard function

Quantile function

Statistical properties

Simulation

Maximum Likelihood Estimation

Subjects