Term of Award
Summer 2010
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Broderick O. Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Hani Samawi
Abstract
The Weibull distribution is a well known and common distribution. In this thesis, theoretical properties of weighted Weibull distributions are presented. Properties of the non-weighted Weibull distribution are also reiterated for comparison. The probability density functions, cumulative distribution functions, survival functions, hazard functions and reverse hazard functions are given for each distribution. In addition, Glaser's Lemma is applied to determine the behavior of the hazard functions. The standardized moments, differential entropy, Fisher information and results based on the likelihood function are given for each distribution as well. These results are also shown for the Rayleigh distribution, a special case of the Weibull distribution, and its weighted versions.
Recommended Citation
Roman, Ryan, "Theoretical Properties and Estimation In Weighted Weibull and Related Distributions" (2010). Electronic Theses and Dissertations. 665.
https://digitalcommons.georgiasouthern.edu/etd/665
Research Data and Supplementary Material
No
