Plant-capture estimation of the size of a homogeneous population

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 profi...

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Veröffentlicht in:	Biometrika 2007-03, Vol.94 (1), p.243-248
Hauptverfasser:	Goudie, I. B. J., Jupp, P. E., Ashbridge, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications Asymptotic methods Biology, psychology, social sciences capture-recapture sampling Censuses Confidence interval Estimating techniques Exact sciences and technology Experimental design factorial series distribution Factorials Gould–Hopper number Integers Mark release recapture Mathematics maximum likelihood Maximum likelihood estimation Maximum likelihood estimators Miscellanea Population estimates Population size Probability and statistics Sciences and techniques of general use Statistics Studies unimodality
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Beschreibung
Zusammenfassung:	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.
ISSN:	0006-3444 1464-3510
DOI:	10.1093/biomet/asm012