Center sampling is useful in finite population surveys when exhaustive lists of all units are not available and the target population is naturally clustered into a number of overlapping sites spread over an area of interest such as, for instance, the immigrant population illegally resident in a country. Center sampling has been successfully employed in official European surveys; nevertheless few systematic theoretical results have been given yet to support empirical findings. In this paper a general theory for Center sampling is formalized and an unbiased estimator for the mean of a quantitative or dichotomous characteristic is proposed together with its exact variance. A suitable estimator for the variance, unbiased under simple random sampling, is also derived and the optimum allocation of the sample size among centers subject to linear cost constraints is discussed. Other sampling designs, useful under operational aspects, are also considered.

Mecatti, F., Migliorati, S. (2003). Center Sampling: a strategy for elusive population surveys. STATISTICA, 43(3), 537-560.

Center Sampling: a strategy for elusive population surveys

MECATTI, FULVIA;MIGLIORATI, SONIA
2003

Abstract

Center sampling is useful in finite population surveys when exhaustive lists of all units are not available and the target population is naturally clustered into a number of overlapping sites spread over an area of interest such as, for instance, the immigrant population illegally resident in a country. Center sampling has been successfully employed in official European surveys; nevertheless few systematic theoretical results have been given yet to support empirical findings. In this paper a general theory for Center sampling is formalized and an unbiased estimator for the mean of a quantitative or dichotomous characteristic is proposed together with its exact variance. A suitable estimator for the variance, unbiased under simple random sampling, is also derived and the optimum allocation of the sample size among centers subject to linear cost constraints is discussed. Other sampling designs, useful under operational aspects, are also considered.
Articolo in rivista - Articolo scientifico
imperfect sampling frame, overlapping centers, sample size optimal allocation, variance estimation
English
537
560
24
Mecatti, F., Migliorati, S. (2003). Center Sampling: a strategy for elusive population surveys. STATISTICA, 43(3), 537-560.
Mecatti, F; Migliorati, S
File in questo prodotto:
File Dimensione Formato  
Mecatti&Migliorati_STATISTICA2003.pdf

accesso aperto

Dimensione 261.53 kB
Formato Adobe PDF
261.53 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/33189
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact