Pandey, Krishan and Tikkiwal, G.C. (2010): Generalized class of composite method of estimation for crop acreage in small domain. Published in: International Journal of Statistics and Systems, , Vol. Vol. 5, No. No. 3, (12 November 2010): 319 -333.
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Abstract
This paper defines and discusses a generalized class of composite estimators for small domains, using auxiliary information, under systematic sampling scheme. The generalized class of composite estimators, among others, includes a number of direct, synthetic and composite estimators. Further, it demonstrates the use of the estimators belonging to the generalized class for estimating crop acreage for small domains and also compares their relative performance with the corresponding direct and synthetic estimators, through a simulation study.
Item Type: | MPRA Paper |
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Original Title: | Generalized class of composite method of estimation for crop acreage in small domain |
Language: | English |
Keywords: | Inspector Land Revenue Circles (ILRCs), Timely Reporting Scheme (TRS), Absolute Relative Bias (ARB), Simulated relative standard error (Srse), Simulation-Cum-Regression (SICURE) model |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation |
Item ID: | 37163 |
Depositing User: | Dr. KRISHAN K. PANDEY |
Date Deposited: | 07 Mar 2012 19:09 |
Last Modified: | 10 Oct 2019 04:37 |
References: | Cochran, W.G. (1977). “Sampling Techniques”, Wiley & Sons. Ghangurde, P.D. and Singh, M.P. (1978). “Evaluation of efficiency of synthetic estimates”, Proceeding of the Social Statistical Section of the American Statistical Association, 53-61. Ghangurde, P.D. & Singh, M.P. (1977). “Synthetic estimates in periodic household surveys” Survey Methodology, 3, 151-181. Gonzalez, M.E. (1973). “Use and evaluation of synthetic estimates”, Proceedings of the social statistical section of American Statistical Association, 33-36. 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. (1954).“On the question of bias of systematic sampling”, Proceedings of the world Population Conference, 6, 349-62. Madow, L.H. (1946).“Systematic sampling and its relation to other sampling designs”, Journal of American Statistical Association 41:204-217. Murphy, K.E. Carter, C.M. & Wolfe, L.H. (2001). “How long should I simulate, and for how many trials?A practical guide to reliability simulations”,Reliability and Maintainability Symposium, 2001, Proceedings, Philadelphia, p.p. 207-212. Osborne, J.G. (1942).“Sampling errors of systematic & random survey of covertype areas”, Journal of American Statistical Association 37:256-264. Purcell, N.J. and Kish, L. (1979). “Estimation for small domain”. Biometrics, 35, 365-384. Sarndal, C. E.,(1984). “Design- consistent versus model-dependent estimation for small domains”, Jour. Amer. Stat. Assoc.,79, 624-31. 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. 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. Srivastava, S.K. (1967). “An estimator using auxiliary information in sample surveys”, Calcutta Statist. Assoc. Bull. , 121-132. Sukhatme, P. V. Sukhatme, B. V., Sukhatme, S. and Asok, C. (1984). “Sampling Theory of Surveys with Applications (3rd Edition)”, Indian Society of Agricultural Statistics, New Delhi. Swain, A.K.P.C. (1964).“The use of systematic sampling in ratio estimates”, JISA, 2, 160-164. 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. Tikkiwal, G.C. and Pandey, K.K. (2007). “On Synthetic and Composite Estimators for Small Area Estimation under Lahiri-Midzuno Sampling Scheme”, Statistics in Transition New Series, vol. 8. No. 1, 111-123. Tikkiwal, G.C. and Pandey, K.K. (2006). “Generalized Class of Synthetic Estimators for Small Area under Systematic Sampling Scheme”, A paper presented in National Conference at Saurastra University, Gujrat form November 11-13, 2006. Whitt,W. (1989).“Simulation run length planning”, in the proceedings of the 1989 winter simulation conference, AT & T Bell laboratories U.S.A., pp- 106-112. Wolter, K.M. (1984). “An investigation of some estimators of variances for systematic sampling”, J. Amer. Stat. Assoc., 79, 781-90. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/37163 |