{"id":{"repo_id":"unr","oai_identifier":"oai:scholarwolf.unr.edu:11714/3920"},"canonical_url":"https://search.dev.ndltd.org/etd/unr/oai:scholarwolf.unr.edu:11714/3920","repository":{"repo_id":"unr","name":"University of Nevada - Reno","base_url":"https://scholarwolf.unr.edu/server/oai/request"},"display":{"title":"A Discrete Pareto Distribution on Positive Integers","abstract":"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.","abstract_html":"The Zipf&#x27;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.","abstract_has_math":false,"creators":["Buddana, Amrutha"],"institution":null,"degree_name":null,"degree_level":"Master's Degree","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Kozubowski, Tomasz J."],"committee_chairs":[],"committee_members":["Panorska, Anna","Zaliapin, Ilya","Lu, Minggen"],"year":2011,"date_issued":"2011","date_published":"2011","updated_at":"2026-07-27T21:47:14Z","subjects":["Discrete Pareto distribution","Discrete power law distributions","Pareto","Zipf distribution"],"languages":[],"rights":["In Copyright(All Rights Reserved)"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11714/3920","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Kozubowski, Tomasz J."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Panorska, Anna","Zaliapin, Ilya","Lu, Minggen"]},{"key":"dc:creator","label":"Author","values":["Buddana, Amrutha"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-08-29T15:49:07Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-29T15:49:07Z"]},{"key":"dc:date.issued","label":"Date","values":["2011"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Master's Degree"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Discrete Pareto distribution","Discrete power law distributions","Pareto","Zipf distribution"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["In Copyright(All Rights Reserved)"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11714/3920"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:format","label":"Dc Format","values":["PDF"]},{"key":"dc:title","label":"Title","values":["A Discrete Pareto Distribution on Positive Integers"]}]}],"canonical_facts":{"dc:contributor.advisor":["Kozubowski, Tomasz J."],"dc:contributor.committeemember":["Panorska, Anna","Zaliapin, Ilya","Lu, Minggen"],"dc:creator":["Buddana, Amrutha"],"dc:date.accessioned":["2018-08-29T15:49:07Z"],"dc:date.available":["2018-08-29T15:49:07Z"],"dc:date.issued":["2011"],"dc:description.abstract":["The Zipf's law is a standard discrete power-law probability distributions, often thought of as a discrete counterpart of the Pareto distribution. 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