Term of Award
Fall 2019
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
Digital Commons@Georgia Southern License
Department
Department of Mathematical Sciences
Committee Chair
BRODERICK OLUYEDE
Committee Member 1
DIVINE WANDUKU
Committee Member 2
CHARLES CHAMP
Abstract
In this thesis, new generalized distributions, namely Beta Lindley-Log-Logistic (BLLLoG) distribution, Marshall-Olkin Lindley-Weibull (MOLW) distribution, and Gamma LindleyWeibull (GLW) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these distributions, including hazard function, reverse hazard function, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived. Method of maximum likelihood is used to estimate the parameters of the new distributions. Monte Carlo simulation is employed to examine the performance of the proposed distributions. Applications of the generalized distributions to real lifetime data are presented to illustrate the usefulness of the models.
OCLC Number
62E15, 60E15
Recommended Citation
Raheem, Soliu A., "Some New Generalized Distribution via Lindley-WeibulI and Lindley-Log-Logistic Distributions with Applications" (2019). Electronic Theses and Dissertations. 2008.
https://digitalcommons.georgiasouthern.edu/etd/2008
Research Data and Supplementary Material
No
Included in
Applied Statistics Commons, Other Statistics and Probability Commons, Statistical Methodology Commons, Statistical Models Commons, Statistical Theory Commons
