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.

PDF
MPRA_paper_37163.pdf Download (187kB)  Preview 
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 

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), SimulationCumRegression (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:  22. Feb 2013 07:03 
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, 5361. Ghangurde, P.D. & Singh, M.P. (1977). “Synthetic estimates in periodic household surveys” Survey Methodology, 3, 151181. Gonzalez, M.E. (1973). “Use and evaluation of synthetic estimates”, Proceedings of the social statistical section of American Statistical Association, 3336. 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, 1825. Lahiri, D.B. (1954).“On the question of bias of systematic sampling”, Proceedings of the world Population Conference, 6, 34962. Madow, L.H. (1946).“Systematic sampling and its relation to other sampling designs”, Journal of American Statistical Association 41:204217. 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. 207212. Osborne, J.G. (1942).“Sampling errors of systematic & random survey of covertype areas”, Journal of American Statistical Association 37:256264. Purcell, N.J. and Kish, L. (1979). “Estimation for small domain”. Biometrics, 35, 365384. Sarndal, C. E.,(1984). “Design consistent versus modeldependent estimation for small domains”, Jour. Amer. Stat. Assoc.,79, 62431. 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 10171021. 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., 741746. Srivastava, S.K. (1967). “An estimator using auxiliary information in sample surveys”, Calcutta Statist. Assoc. Bull. , 121132. 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, 160164. 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, 865876. 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, 697711. Tikkiwal, G.C. and Pandey, K.K. (2007). “On Synthetic and Composite Estimators for Small Area Estimation under LahiriMidzuno Sampling Scheme”, Statistics in Transition New Series, vol. 8. No. 1, 111123. 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 1113, 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 106112. Wolter, K.M. (1984). “An investigation of some estimators of variances for systematic sampling”, J. Amer. Stat. Assoc., 79, 78190. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/37163 