Generalized Classes of Lindley Distributions With Applications to Lifetime data

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (restricted to Georgia Southern)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2014

Author dc:creator

• Yang, Tiantian

Contributors dc:contributor

• Charles Champ
• Arpita Chatterjee

• ETD
• Lindley Distributions
• Generalized Lindley Distribution
• Related Distributions
• Statistical Models
• Survival Analysis

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1148

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2197