Open AccessUnit Monsef Distribution with Regression Model
Author(s) -
M. E. Abd El-Monsef,
N. M. Sohsah,
W. A. Hassanein
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i430384
Subject(s) - mathematics , moment generating function , statistics , regression analysis , distribution (mathematics) , distribution fitting , moment (physics) , function (biology) , probability distribution , mathematical analysis , physics , classical mechanics , evolutionary biology , biology
The aim of this paper is introduced a new distribution with one parameter called unit Monsef distribution (UMD) with it is regression model since it is more fitting than well-known distributions in educational attainment data , derived from a transformation on Monsef distribution. it is probability function has been generated also distribution function. reliability function and hazard function, some of statistical measures are investigated such like moments of origin point, central moments, Lorenz and Bonferroni curves also stress strengths parameter are investigated. parameter estimated is obtained by using more than method like maximum likelihood method, method of moment and least square method. the simulation scheme for unit Monsef parameters. Finally, real data is used for studying the flexibility of UMD also applied on UMD regression model compared with others well Known distributions.