Confidence intervals for population size based on a capture-recapture design

dc.contributor.authorHua, Jianjun
dc.date.accessioned2011-11-21T20:59:01Z
dc.date.available2011-11-21T20:59:01Z
dc.date.graduationmonthDecember
dc.date.issued2011-11-21
dc.date.published2011
dc.description.abstractCapture-Recaputre (CR) experiments stemmed from the study of wildlife and are widely used in areas such as ecology, epidemiology, evaluation of census undercounts, and software testing, to estimate population size, survival rate, and other population parameters. The basic idea of the design is to use “overlapping” information contained in multiple samples from the population. In this report, we focus on the simplest form of Capture-Recapture experiments, namely, a two-sample Capture-Recapture design, which is conventionally called the “Petersen Method.” We study and compare the performance of three methods of constructing confidence intervals for the population size based on a Capture-Recapture design, asymptotic normality estimation, Chapman estimation, and “inverting a chi-square test” estimation, in terms of coverage rate and mean interval width. Simulation studies are carried out and analyzed using R and SAS. It turns out that the “inverting a chi-square test” estimation is better than the other two methods. A possible solution to the “zero recapture” problem is put forward. We find that if population size is at least a few thousand, two-sample CR estimation provides reasonable estimates of the population size.
dc.description.advisorPaul I. Nelson
dc.description.degreeMaster of Science
dc.description.departmentDepartment of Statistics
dc.description.levelMasters
dc.identifier.urihttp://hdl.handle.net/2097/13103
dc.language.isoen_US
dc.publisherKansas State University
dc.rights© the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectCapture-recapture
dc.subjectConfidence interval
dc.subjectPopulation size
dc.subjectAsymptotic normality estimation
dc.subjectInverting a test
dc.subjectCoverage rate
dc.subject.umiStatistics (0463)
dc.titleConfidence intervals for population size based on a capture-recapture design
dc.typeReport

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