Weighted Inverse Weibull and Beta-Inverse Weibull Distribution

<p>The weighted inverse Weibull distribution and the beta-inverse Weibull distribution are considered. Theoretical properties of the inverse Weibull model, weighted inverse Weibull distribution including the hazard function, reverse hazard function, moments, moment generating function, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and Shanon entropy are studied. The estimation for the parameters of the length-biased inverse Weibull distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the inverse Weibull model. Furthermore, the beta-inverse Weibull distribution which is a weighted distribution is presented, including the cumulative distribution function (cdf), probability density function (pdf), density plots, moments, and the moment generating function. Also, some useful transformations that lead to the generation of observations from the beta-inverse Weibull distribution are derived.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2010

Author dc:creator

• Kersey, Jing Xiong

Contributors dc:contributor

• Charles Champ
• Hani Samawi

• ETD
• Weighted distribution
• Weighted inverse Weibull distribution
• Beta-inverse Weibull distribution
• Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/661

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1661