Department of Statistics, Ferdowsi University of Mashhad.
10.52547/jirss.20.2.65
Abstract
Sometimes in order to estimate population parameters such as mean and total values, we extract a random sample by cluster sampling method, and after completing sampling, we are interested in using the same sample to estimate the desired parameters in a subset of the population, which is said subpopulation. In this paper, we try to estimate subpopulation parameters in different cases when one-stage cluster sampling design is used.
Clark, R.G. (2009), Sampling of subpopulations in two-stage surveys, Statistics in
Medicine. 28(29), 3697–3717.
Cochran, W.G. (1977), Sampling Techniques, 3rd ed. New York: Wiley.
Lohr, S. L. (2010), Sampling: Design and Analysis, 2rd ed. Cengage Learning. pp,
469-486.
Rao, P.S.R.S. (1988), Ratio and regression estimators, Handbook of Statistics, Vol. 6, Sampling. Amsterdam: Elsevier Science. Publishers, pp. 449–468.
Royall, R.M.(1988),The prediction approach to sampling theory, Handbook of Statistics, Vol. 6 Sampling. Amsterdam: Elsevier Science Publishers, pp. 399–413.
Salehi, M. and Chang, K.C. (2005), Multiple inverse sampling in post-stratification with subpopulation sizes unknown: A solution for quota sampling, J. Statist. Plann. Inference, 131(2), 379–392.
Salehi, M. and Seber, G.A.F. (2001), Unbiased estimators for restricted adaptive cluster sampling, Aust. N. Z. J. Stat. 44(1), 63–74.
Stephan, F.F. (1945), The expected value and variance of the reciprocal and other negative powers of a positive Bernoullian variate, Ann. Math. Statist., 16, 50–61.
Thompson, S.K. (2012), Sampling Techniques, 3rd ed. New York: Wiley.
Clark, R. G. (2009), Sampling of subpopulations in two stage surveys. Statistics in Medicine, 28(29), 3697-3717. [DOI:10.1002/sim.3723]
Cochran, W. G. (1977), Sampling Techniques}. 3rd ed. New York: Wiley.
Lohr, S. L. (2010), Sampling: Design and Analysis}. 2rd ed. Cengage Learning, pp, 469-486.
Rao, P. SR. S. (1988), Ratio and regression estimators.Handbook of Statistics, Vol. 6, Sampling. Amsterdam: Elsevier Science, pp, 449-468. [DOI:10.1016/S0169-7161(88)06020-1]
Royall, R. M. (1988), The prediction approach to sampling theory., Handbook of Statistics, Vol. 6 Sampling. Amsterdam: Elsevier Science Publishers, pp. 399-413. [DOI:10.1016/S0169-7161(88)06017-1]
Salehi. M., Chang. K. C. (2005), {Multiple inverse sampling in post-stratification with subpopulation sizes unknown: a solution for quota sampling. Statistical Planning and Inference, 131(2), 379-392. [DOI:10.1016/j.jspi.2004.02.002]
Salehi, M., and Seber, G. A. F. (2001), Unbiased estimators for restricted adaptive cluster sampling. Australian and New Zealand Journal of Statistics, 44(1), 63-74. [DOI:10.1111/1467-842X.00208]
Stephan, F. F. (1945), The expected value and variance of the reciprocal and other negative powers of a positive Bernoullian variate. Ann. Math. Statist.,16, 50-61. [DOI:10.1214/aoms/1177731170]
Hossaini,M. and Rezaei Roknabadi,A. (2022). Estimation of Subpopulation Parameters in One-stage Cluster Sampling Design. Journal of the Iranian Statistical Society, 20(2), 65-78. doi: 10.52547/jirss.20.2.65
MLA
Hossaini,M. , and Rezaei Roknabadi,A. . "Estimation of Subpopulation Parameters in One-stage Cluster Sampling Design", Journal of the Iranian Statistical Society, 20, 2, 2022, 65-78. doi: 10.52547/jirss.20.2.65
HARVARD
Hossaini M., Rezaei Roknabadi A. (2022). 'Estimation of Subpopulation Parameters in One-stage Cluster Sampling Design', Journal of the Iranian Statistical Society, 20(2), pp. 65-78. doi: 10.52547/jirss.20.2.65
CHICAGO
M. Hossaini and A. Rezaei Roknabadi, "Estimation of Subpopulation Parameters in One-stage Cluster Sampling Design," Journal of the Iranian Statistical Society, 20 2 (2022): 65-78, doi: 10.52547/jirss.20.2.65
VANCOUVER
Hossaini M., Rezaei Roknabadi A. Estimation of Subpopulation Parameters in One-stage Cluster Sampling Design. JIRSS, 2022; 20(2): 65-78. doi: 10.52547/jirss.20.2.65
Journal of the Iranian Statistical Society