Unit Monsef Distribution with Regression Model
M. M. E. Abd El-Monsef *
Faculty of Science, Tanta University, Egypt.
N. M. Sohsah
Faculty of Science, Tanta University, Egypt.
W. A. Hassanein
Faculty of Science, Tanta University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Unit distributions, monsef distribution, stress strength model, random variable transformation, estimation methods, re-parametrization, regression model.