The Generalized Lindley-Weibull Distribution with Applications to Lifetime Data

<p>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.</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

2013

Author dc:creator

• Mutiso, Fedelis

Contributors dc:contributor

• Charles Champ
• Hani Samawi

• ETD
• Transformed Distributions
• Generalized Lindley-Weibull Distribution
• Related Distributions
• Applied Statistics
• Biology
• Biostatistics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/843

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1834