Methoden vergleichen

	Erfassungs-Wiederfang-Populationsschätzung	Small Area Estimation (Fay-Herriot-Modell)
Fachgebiet	Umfragemethodik	Umfragemethodik
Familie	Regression model	Regression model
Entstehungsjahr	1978	1979
Urheber	Otis, Burnham, White & Anderson	Robert Fay & Roger Herriot
Typ	Probabilistic population size estimator	Model-based survey estimator
Wegweisende Quelle	Otis, D. L., Burnham, K. P., White, G. C., & Anderson, D. R. (1978). Statistical inference from capture data on closed animal populations. Wildlife Monographs, 62, 3–135.	Fay, R. E., & Herriot, R. A. (1979). Estimates of income for small places: An application of James-Stein procedures to census data. Journal of the American Statistical Association, 74(366), 269–277.
Aliasnamen	Mark-Recapture, Tag-Recapture, Mark-Release-Recapture, İşaretle-Yeniden Yakala	SAE, Model-Based Small Area Estimation, Area-Level Model, Küçük Alan Tahmini
Verwandt	2	2
Zusammenfassung	Capture-recapture (also known as mark-recapture) is a statistical method for estimating the size of an unknown population by sampling it twice and tracking which individuals appear in both samples. Formally systematized for closed animal populations by Otis, Burnham, White, and Anderson in their landmark 1978 Wildlife Monographs paper, the method extends naturally to human populations, epidemiology, and incomplete administrative records.	Small Area Estimation (SAE) refers to statistical techniques that produce reliable estimates for subpopulations — geographical regions, demographic groups, or administrative units — where direct survey samples are too sparse to yield acceptable precision. The Fay-Herriot model, introduced by Robert Fay and Roger Herriot in 1979, is the canonical area-level SAE model. It supplements weak direct survey estimates with auxiliary covariate information through an empirical Bayes or BLUP framework, substantially reducing mean squared error for small domains.