A nonparametric estimator of the number of classes based on a stratified random sample
- 1 January 1994
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 23 (9) , 2561-2580
- https://doi.org/10.1080/03610929408831403
Abstract
Under stratified random sampling, we develop a kth-order bootstrap bias-corrected estimator of the number of classes θ which exist in a study region. This research extends Smith and van Belle’s (1984) first-order bootstrap bias-corrected estimator under simple random sampling. Our estimator has applicability for many settings including: estimating the number of animals when there are stratified capture periods, estimating the number of species based on stratified random sampling of subunits (say, quadrats) from the region, and estimating the number of errors/defects in a product based on observations from two or more types of inspectors. When the differences between the strata are large, utilizing stratified random sampling and our estimator often results in superior performance versus the use of simple random sampling and its bootstrap or jackknife [Burnham and Overton (1978)] estimator. The superior performance is often associated with more observed classes, and we provide insights into optimal designation of the strata and optimal allocation of sample sectors to strata.Keywords
This publication has 7 references indexed in Scilit:
- Modeling Capture, Recapture, and Removal Statistics for Estimation of Demographic Parameters for Fish and Wildlife Populations: Past, Present, and FutureJournal of the American Statistical Association, 1991
- Quantitative Sampling of Fish Populations with a Mobile Rising NetNorth American Journal of Fisheries Management, 1990
- Capture-Recapture Estimation in the Presence of a Known Sex RatioBiometrics, 1990
- On bootstrap resampling and iterationBiometrika, 1988
- Nonparametric Estimation of Species RichnessBiometrics, 1984
- Estimation of the size of a closed population when capture probabilities vary among animalsBiometrika, 1978
- The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal PopulationJournal of Animal Ecology, 1943