Term of Award
Summer 2014
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department
Department of Mathematical Sciences
Committee Chair
Broderick Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Arpita Chatterjee
Abstract
In this thesis, new classes of generalized Lindley distributions called the beta-generalized Lindley (BGL) distribution, exponentiated Kumaraswamy Lindley (EKL) distribution, and Kumaraswamy power Lindley (KPL) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, monotonicity property, shapes, 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 classes of distributions. Finally, real data examples are discussed to illustrate the applicability of the classes of distributions.
Recommended Citation
Yang, Tiantian, "Generalized Classes of Lindley Distributions With Applications to Lifetime data" (2014). Electronic Theses and Dissertations. 1148.
https://digitalcommons.georgiasouthern.edu/etd/1148
