A Discrete Pareto Distribution on Positive Integers

The Zipf's law is a standard discrete power-law probability distributions, often thought of as a discrete counterpart of the Pareto distribution. Here we study an alternative discrete Pareto distribution, using the general approach of discretizing a continuous distribution. We obtain several important theoretical properties of the distribution, that resamble similar properties of the classical Pareto distribution. We also study the problem of parameter estimation connected with this distribution.

Level thesis:degree_level

Master's Degree

Year dc:date.issued

2011

Author dc:creator

• Buddana, Amrutha

Advisor dc:contributor.advisor

• Kozubowski, Tomasz J.

Committee members dc:contributor.committeemember

• Panorska, Anna
• Zaliapin, Ilya
• Lu, Minggen

• Discrete Pareto distribution
• Discrete power law distributions
• Pareto
• Zipf distribution

Statement dc:rights

• In Copyright(All Rights Reserved)

Handle dc:identifier.uri

http://hdl.handle.net/11714/3920

OAI identifier oai:identifier

oai:scholarwolf.unr.edu:11714/3920