N-mixture models with auxiliary populations and for large population abundances

dc.contributor.authorParker, Matthew R. P.
dc.contributor.supervisorCowen, Laura Louise Elizabeth
dc.date.accessioned2020-04-30T04:20:20Z
dc.date.available2020-04-30T04:20:20Z
dc.date.copyright2020en_US
dc.date.issued2020-04-29
dc.degree.departmentDepartment of Mathematics and Statistics
dc.degree.levelMaster of Science M.Sc.en_US
dc.description.abstractThe key results of this thesis are (1) an extension of N-mixture models to incorporate the additional layer of obfuscation brought by observing counts from a related auxiliary population (rather than the target population), (2) an extension of N-mixture models to allow for grouped counts, the purpose being two-fold: to extend the applicability of N-mixtures to larger population sizes, and to allow for the use of coarse counts in fitting N-mixture models, (3) a new R package allowing the easy application of the new N-mixture models, (4) a new R package allowing for optimization of multi-parameter functions using arbitrary precision arithmetic, which was a necessary tool for optimization of the likelihood in large population abundance N-mixture models, as well as (5) simulation studies validating the new grouped count models and comparing them to the classic N-mixtures models.en_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/11702
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectN-mixturesen_US
dc.subjectgrouped countsen_US
dc.subjectcoarse countsen_US
dc.subjectmaximum likelihooden_US
dc.titleN-mixture models with auxiliary populations and for large population abundancesen_US
dc.typeThesisen_US

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