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Estimating Population Size in a Continuous-time Removal Experiment with a Known Sub-population Size Ratio.
- Source :
- Environmental & Ecological Statistics; Mar2006, Vol. 13 Issue 1, p109-124, 16p, 7 Charts, 3 Graphs
- Publication Year :
- 2006
-
Abstract
- We study a continuous-time removal model for estimating the population size for a population in which a sub-population size ratio is known. The maximum likelihood estimate and the optimal martingale estimate of the population size are obtained; these are shown to be equivalent. A comparison between the proposed estimator and the maximum likelihood estimate which ignores the information on the known size ratio is made, using a simulation study. The asymptotic variances of these two estimators are also obtained, and a comparison between them is made. The sensitivity of mis-specification of the known size ratio is examined. We also apply the corresponding discrete-time model to the proposed continuous-time setting, and study the efficiency of the corresponding discrete-time type estimator relative to the proposed estimator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13528505
- Volume :
- 13
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Environmental & Ecological Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 19785582
- Full Text :
- https://doi.org/10.1007/s10651-005-5694-y