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A Discrete Truncated Power-law Distribution

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Author
Boamah-Addo, Kwame
Advisor
Kozubowski, Tomasz J
Date
2018
Type
Thesis
Department
Mathematics and Statistics
Degree Level
Master's Degree
Statistics
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Abstract
This thesis concerns discrete probability distributions with power-law tailbehavior. Discrete power-law distributions are reviewed together withtheir truncated versions. The Zipf distribution (Zipf, 1932) is then focusedon and a truncated version of the Zipf distribution is further studied. Thisdistribution is known as the discrete truncated power-law distribution(DTPL). The basic properties of the DTPL are derived and procedurefor estimating the parameters of the distribution are developed. Theusefulness of the distribution is shown through several data examples.
Permanent link
http://hdl.handle.net/11714/4558
Additional Information
Committee MemberPanorska, Anna; Forister, Mathew
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