Pandey, Krishan and Tikkiwal, G.C. (2006): Synthetic and composite estimators for small area estimation under Lahiri – Midzuno sampling scheme. Published in: STATISTICS IN TRANSITION-new series, , Vol. Vol. 8, No. April 2007 (April 2007): pp. 111-123.
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This paper studies performance of synthetic ratio estimator and composite estimator, which is a weighted sum of direct and synthetic ratio estimators, under Lahiri – Midzuno (L-M) sampling scheme. The synthetic estimator under L-M scheme is unbiased and consistent if the assumption of synthetic estimator is satisfied. Further, this paper compares performance of the synthetic and composite estimators empirically under L-M and SRSWOR schemes for estimating crop acreage for small domains. The study shows that both the estimators perform better under L-M scheme as having comparatively smaller absolute relative biases and relative standard errors.
|Item Type:||MPRA Paper|
|Original Title:||Synthetic and composite estimators for small area estimation under Lahiri – Midzuno sampling scheme|
|Keywords:||Composite estimators, Synthetic ratio estimators, Small domains, Lahiri – Midzuno sampling design, SICURE model|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General
C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology; Computer Programs > C81 - Methodology for Collecting, Estimating, and Organizing Microeconomic Data
C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics
|Depositing User:||Dr. KRISHAN K. PANDEY|
|Date Deposited:||07. Mar 2012 19:07|
|Last Modified:||19. Feb 2013 23:05|
GHOSH, M. and RAO, J.N.K. (1994). Small Area Estimation: An Appraisal.Statistical Science, 91, 55—93.
GONZALEZ, N.E. and WAKSBERG, J.(1973). Estimation of the error of synthetic estimates. Paper presented at first meeting of international association of survey statisticians, Vienna, Austria, 18—25.
LAHIRI, D.B. (1951). A method of sample selection providing unbiased ratio estimates. Bull. Int. Stat. Inst. 3, 133—40.
MIDZUNO, H. (1952). On the sampling system with probability proportional to sum of sizes, Ann. Inst. Stat. Math., 3, 99—107.
Rao, J. N. K. (2003).Small area estimation. Wiley Interscience
Sarndal, C. E., Swensson, B. and Wretman, J. (1992). Model assisted survey sampling, Springer - Verlag.
SCHAIBLE, W.L. (1978). Choosing weights for composite estimators for small area statistics. Proceedings of the survey research methods section, Amer. Statist. Assoc., Washington. D.C., 741—746.
SCHAIBLE, W.L., BROCK, D.B., CASADY, R.J. and SCHNACK, G.A. (1977).
An empirical comparison of the simple synthetic and composite estimators for small area statistics. Proceedings of Amer. Statist. Assoc., Social Statistics section 1017—1021.
TIKKIWAL, B.D. (1993). Modeling through survey data for small domains.Proceedings of International Scientific Conference on small Area Statistics and Survey Design (An invited paper), held in September 1992 at Warsaw,Poland.
TIKKIWAL, G.C. and GHIYA A. (2000). A generalized class of synthetic estimators with application of crop acreage estimation for small domains. Biom, J. 42, 7, 865—876.
TIKKIWAL, G.C. and GHIYA A. (2004). A generalized class of composite estimators with application to crop acreage estimation for small domains.Statistics in Transitions (6), 5, 697—711.