Plant-capture estimation of the size of a homogeneous population

Ian Britton James Goudie; Peter Edmund Jupp; J Ashbridge

doi:10.1093/biomet/asm012

Plant-capture estimation of the size of a homogeneous population

Ian Britton James Goudie, Peter Edmund Jupp, J Ashbridge

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	243-248
Number of pages	6
Journal	Biometrika
Volume	94
Issue number	1
DOIs	https://doi.org/10.1093/biomet/asm012
Publication status	Published - Mar 2007

Keywords

capture-recapture sampling
factorial series distribution
Gould-Hopper number
maximum likelihood
population size
unimodality
RECAPTURE EXPERIMENTS
LIKELIHOOD FUNCTIONS
MULTINOMIAL MODELS
CONTINUOUS-TIME
INFERENCE
POISSON

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10.1093/biomet/asm012

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abstract = "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.",

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author = "Goudie, {Ian Britton James} and Jupp, {Peter Edmund} and J Ashbridge",

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AU - Jupp, Peter Edmund

AU - Ashbridge, J

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AB - 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.

KW - capture-recapture sampling

KW - factorial series distribution

KW - Gould-Hopper number

KW - maximum likelihood

KW - population size

KW - unimodality

KW - RECAPTURE EXPERIMENTS

KW - LIKELIHOOD FUNCTIONS

KW - MULTINOMIAL MODELS

KW - CONTINUOUS-TIME

KW - INFERENCE

KW - POISSON

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VL - 94

SP - 243

EP - 248

JO - Biometrika

JF - Biometrika

IS - 1

ER -

Plant-capture estimation of the size of a homogeneous population

Abstract

Keywords

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