YOHANA, Mkawe

MUTUKU, Serryanne Wavinya

Student Bio

Name: Mkawe Museveni Yohana.

Date of Birth: Day 15 of January,1986.

Country: Kenya. Home County: Siaya.

Ministry: Ministry of Education Science and Technology. Body/Department: Teachers Service Commission. Place of Birth: Nairobi. First Degree: B.E.D(Science) -Kenyatta University(2007-2011).

Second Degree: Masters of Science in Statistics.-University of Nairobi(2018-2020). A Professional in matters that mainly deals with Education, Leadership skills and Teaching.

Project Summary

Project Title: A RE-EXAMINATION OF A GENERALIZED FIVE PARAMETER LINDLEY DISTRIBUTION (G5L).

Abstract

In this project ,Generalized Five Parameter Lindley distribution(G5L) has been proposed as a new generalization of Lindley capable of modeling different shapes with increasing, decreasing, constant and bathtub failure rates. It has been constructed using finite mixture as the tool and Gamma as the special function. Construction of G5L,has been expressed in terms of Probability density function, Cumulative distribution function, Survival function, Hazard function, Reverse hazard function, Residual lifetime function, Mean residual life function, Equilibrium distribution, Survival function of equilibrium distribution and Hazard function of equilibrium distribution.G5L was applied to real data from Nichols and Padgett on breaking stress of Carbon fibers(2006) to draw shapes and test goodness of fit. Parameters were then estimated using Moment matching method(Mom) and Maximum likelihood estimation(MLE).The results obtained proved that G5L provided better fit than other generalizations of Lindley hence more flexible. G5L is therefore, recommended for modeling lifetime data that fails to follow other generalizations of Lindley because of its extensiveness.