Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data

<p>In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) 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, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.</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

• Towa, Toussaint

Contributors dc:contributor

• Charles Champ
• Arpita Chatterjee

• ETD
• Modified Weibull Distribution
• Generalized Distributions
• Poisson Distribution
• Related Distributions
• Applied Statistics
• Statistics and Probability

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1175

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2236