Term of Award
Summer 2013
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Broderick O. Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Hani Samawi
Abstract
A new class of distribution called the generalized Lindley-Weibull distribution for modeling lifetime data is proposed. This model further generalizes the Lindley distribution and allows for hazard rate functions that are monotonically decreasing, monotonically increasing bathtub and upside down bathtub shaped. The model provides a better fit to data in the sense that it leads to more accurate results and prediction, which should facilitate better public policy in a wide range of areas including but not limited to medicine and environmental health, genetics, reliability, survival analysis and time-to event data analysis. A comprehensive investigation and account of the mathematical and statistical properties and those of its sub models including estimation, and simulation issues are presented. Entropy which measures the variation of the uncertainty in a model and Fisher information are presented. Estimates of model parameters are obtained and some applications as well as numerical examples given. Estimates of sub models parameters are also determined from samples with type I right and type II doubly censored data. Real data examples are presented to illustrate the usefulness of these class of distributions.
Recommended Citation
Mutiso, Fedelis, "The Generalized Lindley-Weibull Distribution with Applications to Lifetime Data" (2013). Electronic Theses and Dissertations. 843.
https://digitalcommons.georgiasouthern.edu/etd/843
Research Data and Supplementary Material
No
