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- Frisén, Marianne,1943Gothenburg University,Göteborgs universitet,Institutionen för nationalekonomi med statistik, Statistiska forskningsenheten,Department of Economics, Statistical Research Unit (author)
Semiparametric estimation of outbreak regression
- Article/chapterEnglish2010
Publisher, publication year, extent ...
- 2009-06-25
- Informa UK Limited,2010
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- LIBRIS-ID:oai:gup.ub.gu.se/117495
- https://gup.ub.gu.se/publication/117495URI
- https://doi.org/10.1080/02331880903021484DOI
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- Language:English
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- A regression may be constant for small values of the independent variable (for example time), but then a monotonic increase starts. Such an ‘outbreak’ regression is of interest for example in the study of the outbreak of an epidemic disease. We give the least square estimators for this outbreak regression without assumption of a parametric regression function. It is shown that the least squares estimators are also the maximum likelihood estimators for distributions in the regular exponential family such as the Gaussian or Poisson distribution. The approach is thus semiparametric. The method is applied to Swedish data on influenza, and the properties are demonstrated by a simulation study. The consistency of the estimator is proved.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- constant base-line
- monotonic change
- exponential family influenza outbreak
Added entries (persons, corporate bodies, meetings, titles ...)
- Andersson, Eva M.,1968Gothenburg University,Göteborgs universitet,Institutionen för nationalekonomi med statistik, Statistiska forskningsenheten,Department of Economics, Statistical Research Unit(Swepub:gu)xaevaq (author)
- Pettersson, Kjell,1948Gothenburg University,Göteborgs universitet,Institutionen för nationalekonomi med statistik, Statistiska forskningsenheten,Department of Economics, Statistical Research Unit(Swepub:gu)xpetkj (author)
- Göteborgs universitetInstitutionen för nationalekonomi med statistik, Statistiska forskningsenheten (creator_code:org_t)
Related titles
- In:Statistics: A Journal of Theoretical and Applied Statistics: Informa UK Limited44:2, s. 107-1170233-1888
- In:Statistics: Informa UK Limited44:2, s. 107-1171029-4910
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