A New Class of Distributions for Survival and Lifetime Data Analysis: Theory and Applications

Presenters/Authors

Broderick O. Oluyede, Georgia Southern UniversityFollow
Baitshephi Mashabe, Botswana International University of Science and TechnologyFollow
Adeniyi F. Fagbamigbe, Botswana International University of Science and TechnologyFollow
Shujiao Huang, University of HoustonFollow

Document Type

Presentation

Presentation Date

11-30-2016

Abstract or Description

A new generalized class of distributions called the Loglogistic Extended-Weibull Logarithmic (LLoGEWL) distribution is developed and presented. Structural properties of the LLoGEWL distribution are derived. The special case of loglogistic Weibull logarithmic (LLoGWL) distribution is studied in detail. Method of maximum likelihood is used to estimate the parameters of this new distribution. A simulation study to examine the bias, mean square error of the maximum likelihood estimators for each parameter is presented. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model.

Sponsorship/Conference/Institution

South African Statistical Association Annual Conference (SASA)

Location

Capetown, South Africa

Recommended Citation

Oluyede, Broderick O., Baitshephi Mashabe, Adeniyi F. Fagbamigbe, Shujiao Huang. 2016. "A New Class of Distributions for Survival and Lifetime Data Analysis: Theory and Applications." Department of Mathematical Sciences Faculty Presentations. Presentation 367.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/367