Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/88215
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Guo, X | en_US |
dc.creator | Fu, Q | en_US |
dc.creator | Wang, Y | en_US |
dc.creator | Land, KC | en_US |
dc.date.accessioned | 2020-09-24T03:05:03Z | - |
dc.date.available | 2020-09-24T03:05:03Z | - |
dc.identifier.issn | 1534-0392 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/88215 | - |
dc.language.iso | en | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.subject | Regression analysis | en_US |
dc.subject | Incomplete counts | en_US |
dc.subject | Overdispersion | en_US |
dc.subject | Heterogeneous negative binomial regression | en_US |
dc.subject | Fisher information | en_US |
dc.subject | Gamma scale parameter | en_US |
dc.title | A numerical method to compute Fisher information for a special case of heterogeneous negative binomial regression | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 4179 | en_US |
dc.identifier.epage | 4189 | en_US |
dc.identifier.volume | 19 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.doi | 10.3934/cpaa.2020187 | en_US |
dcterms.abstract | Negative 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.accessRights | embargoed access | en_US |
dcterms.bibliographicCitation | Communications on pure and applied analysis, Aug. 2020, v. 19, no. 8, p. 4179-4189 | en_US |
dcterms.isPartOf | Communications on pure and applied analysis | en_US |
dcterms.issued | 2020-08 | - |
dc.identifier.scopus | 2-s2.0-85090779924 | - |
dc.description.validate | 202009 bcrc | en_US |
dc.description.oa | Not applicable | en_US |
dc.identifier.FolderNumber | a0481-n06 | en_US |
dc.description.pubStatus | Published | en_US |
dc.date.embargo | 2021-08-31 | en_US |
Appears in Collections: | Journal/Magazine Article |
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