Open AccessComposition a Continuous Probability Distribution Resulting from Mixing Two Probability Distributions
Author(s) -
Hassaneen Abd Aljabar Hashim,
Kareema Abed Al-kadim Al-Khafaji
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1804/1/012028
Subject(s) - moment generating function , mathematics , natural exponential family , moment (physics) , probability density function , probability distribution , exponential distribution , inverse chi squared distribution , exponential function , mixing (physics) , gamma distribution , inverse distribution , distribution (mathematics) , statistical physics , exponential family , statistics , heavy tailed distribution , distribution fitting , mathematical analysis , physics , classical mechanics , quantum mechanics
In this paper, which includes three parameters of the new model resulting from the Topp-Leone Generated distribution mixture with the exponential distribution which we denoted by the symbol TLG-E distribution, finding a new probability density function and achieving its mathematical properties, as well as finding the moment, general moment, reliability and hazard functions, thereafter we clarify estimation by using maximum likelihood method as well as testing the fitting with some known distributions. In addition, we state the of statistical parameters like: scale and location.