In a single capture-recapture problem, two new Wilson methods for interval estimation of population size are derived. Classical Chapman interval, Wilson and Wilson-cc intervals are examined and compared in terms of their expected interval width and exact coverage properties in two models. The new approach performs better than the Chapman in each model. Bayesian analysis also gives a different way to estimate population size.
","abstract_html":"<p>In a single capture-recapture problem, two new Wilson methods for interval estimation of population size are derived. Classical Chapman interval, Wilson and Wilson-cc intervals are examined and compared in terms of their expected interval width and exact coverage properties in two models. The new approach performs better than the Chapman in each model. Bayesian analysis also gives a different way to estimate population size.</p>","abstract_has_math":false,"creators":["Zhang, Xiao"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2007,"date_issued":"2007-08-14T07:00:00Z","date_published":"2007-08-14T07:00:00Z","updated_at":"2026-07-24T02:21:19Z","subjects":["Wilson interval","Chapman interval","hypergeometric model","multinomial model","capture-recapture","sample size","population size","mean coverage","median widthinterval","median width","Physical Sciences and Mathematics","Statistical Methodology","Statistics and Probability"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/2022","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Zhang, Xiao"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2007-08-14T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Wilson interval","Chapman interval","hypergeometric model","multinomial model","capture-recapture","sample size","population size","mean coverage","median widthinterval","median width","Physical Sciences and Mathematics","Statistical Methodology","Statistics and Probability"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/3383/viewcontent/ZhangX073107f.pdf","https://dc.etsu.edu/etd/2022"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In a single capture-recapture problem, two new Wilson methods for interval estimation of population size are derived. Classical Chapman interval, Wilson and Wilson-cc intervals are examined and compared in terms of their expected interval width and exact coverage properties in two models. The new approach performs better than the Chapman in each model. Bayesian analysis also gives a different way to estimate population size.
"]},{"key":"dc:title","label":"Title","values":["Confidence Intervals for Population Size in a Capture-Recapture Problem."]}]}],"canonical_facts":{"dc:creator":["Zhang, Xiao"],"dc:date.issued":["2007-08-14T07:00:00Z"],"dc:description.abstract":["In a single capture-recapture problem, two new Wilson methods for interval estimation of population size are derived. Classical Chapman interval, Wilson and Wilson-cc intervals are examined and compared in terms of their expected interval width and exact coverage properties in two models. The new approach performs better than the Chapman in each model. Bayesian analysis also gives a different way to estimate population size.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/3383/viewcontent/ZhangX073107f.pdf","https://dc.etsu.edu/etd/2022"],"dc:rights":["Copyright by the authors."],"dc:subject":["Wilson interval","Chapman interval","hypergeometric model","multinomial model","capture-recapture","sample size","population size","mean coverage","median widthinterval","median width","Physical Sciences and Mathematics","Statistical Methodology","Statistics and Probability"],"dc:title":["Confidence Intervals for Population Size in a Capture-Recapture Problem."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:21:19Z"}