Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/88215
DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorGuo, Xen_US
dc.creatorFu, Qen_US
dc.creatorWang, Yen_US
dc.creatorLand, KCen_US
dc.date.accessioned2020-09-24T03:05:03Z-
dc.date.available2020-09-24T03:05:03Z-
dc.identifier.issn1534-0392en_US
dc.identifier.urihttp://hdl.handle.net/10397/88215-
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.subjectRegression analysisen_US
dc.subjectIncomplete countsen_US
dc.subjectOverdispersionen_US
dc.subjectHeterogeneous negative binomial regressionen_US
dc.subjectFisher informationen_US
dc.subjectGamma scale parameteren_US
dc.titleA numerical method to compute Fisher information for a special case of heterogeneous negative binomial regressionen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage4179en_US
dc.identifier.epage4189en_US
dc.identifier.volume19en_US
dc.identifier.issue8en_US
dc.identifier.doi10.3934/cpaa.2020187en_US
dcterms.abstractNegative binomial regression has been widely applied in various research settings to account for counts with overdispersion. Yet, when the gamma scale parameter, ν, is parameterized, there is no direct algorithmic solution to the Fisher Information matrix of the associated heterogeneous negative binomial regression, which seriously limits its applications to a wide range of complex problems. In this research, we propose a numerical method to calculate the Fisher information of heterogeneous negative binomial regression and accordingly develop a preliminary framework for analyzing incomplete counts with overdispersion. This method is implemented in R and illustrated using an empirical example of teenage drug use in America.en_US
dcterms.accessRightsembargoed accessen_US
dcterms.bibliographicCitationCommunications on pure and applied analysis, Aug. 2020, v. 19, no. 8, p. 4179-4189en_US
dcterms.isPartOfCommunications on pure and applied analysisen_US
dcterms.issued2020-08-
dc.identifier.scopus2-s2.0-85090779924-
dc.description.validate202009 bcrcen_US
dc.description.oaNot applicableen_US
dc.identifier.FolderNumbera0481-n06en_US
dc.description.pubStatusPublisheden_US
dc.date.embargo2021-08-31en_US
Appears in Collections:Journal/Magazine Article
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