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Zbl 1142.62425
Goudie, I.B.J.; Jupp, P.E.; Ashbridge, J.
Plant-capture estimation of the size of a homogeneous population. (English)
[J] Biometrika 94, No. 1, 243-248 (2007). ISSN 0006-3444; ISSN 1464-3510/e

Summary: We consider maximum likelihood estimation of the size of a target population to which has been added a known number of planted individuals. The standard equal-catchability model used in mark-recapture is assumed to be applicable to the augmented population. After proving the unimodality of the profile likelihood for the target population size, we obtain both the maximum likelihood estimator of this size and interval estimators based on its asymptotic distribution.

MSC 2000:: *62P12 Applications to environmental and related topics
62P10 Appl. of statistics to biology
62F10 Point estimation

Keywords: capture-recapture sampling; factorial series distribution; Gould-Hopper number; maximum likelihood; population size; unimodality

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Zentralblatt MATH Berlin [Germany]