GENERALIZED SYNTHETIC ESTIMATOR FOR DOMAIN MEAN IN TWO PHASE SAMPLING USING SINGLE AUXILIARY CHARACTER
DOI:
https://doi.org/10.13052/jrss2229-5666.12211Keywords:
Two Phase Sampling, Auxiliary Character, Domain Estimation, Absolute Relative Bias, Simulated Relative Standard ErrorAbstract
In this paper, we have proposed a two phase sampling estimator for domain mean using auxiliary character with unknown X a domain mean. Also discussed properties of the proposed estimator for domain mean ps a T ,γ , using auxiliary character. Simulation study of the proposed estimator ps a T ,γ , has been made with conventional ratio synthetic estimator for domain mean ps a T ,−1, using auxiliary character in terms of simulated relative standard error (SRSE) and absolute relative bias (ARB). Simulation study shows that under synthetic assumption proposed estimator is more efficient than conventional ratio synthetic estimator for domain mean using auxiliary character.
Downloads
References
Chandra, H., Sud, U.C. and Gharde, Yogita (2015). Small area estimation using estimated level auxiliary data, Communications in Statistics-Simulation and Computation, 44(5), p. 1197-1209.
Chaudhuri, A. and Roy, D. (1994). Model assisted survey sampling strategy in two phase, Metrika, 41, p. 355-362.
Gonzalez, M. E. (1973). Use and evaluation of synthetic estimators, Proceedings of the social Statistics, American Statistical Association, p. 33-36.
Hidiroglou, M. A. and Sarndal, C. E. (1995). Use of auxiliary information for two phase sampling. Proceeding of the section on survey research method, American Statistical Association, p. 873-878.
Hidiroglou, M. A. and Sarndal, C. E. (1998). Use of auxiliary information for two phase sampling, Survey Methodology, 24(1), p. 11-20.
Khare, B. B. and Ashutosh (2017). Synthetic estimator for domain mean using auxiliary character, International Journal of Statistics and Economics, 18(4), p. 32-44.
Khare, B. B. and Ashutosh (2018). Simulation study of the generalized synthetic estimator for domain in the sample survey, International Journal of Tomography and Simulation, 31(3), p. 87-100.
Neyman, J. (1938). Contribution to the theory of sampling human populations, Journal of the American Statistical Association, 33, p. 101-116.
Rao., J. N. K. (2003). Small Area Estimation, Wiley Inter-Science, New Jersey, John Wiley and Sons.
Sarndal, C. E. and Swensson, B. (1987). A general view of estimation for two phases of selection with applications to two-phase sampling and nonresponse, International Statistical Review, 55, p. 279-94.
Sarndal, C. E. Swensson, B. and Wretman, J. H. (1992). Model Assisted Survey Sampling, New York, Springer-Verlog.
Verma, H.K. Sharma, P. and Singh, R. (2015). Some families of estimators using two auxiliary variables in stratified random sampling, Revista Investigacion operacional, 36(2), p. 140-150.
Singh, R., Malik, S., Chaudhary, M.K., Verma, H.K. and Adewara, A.A. (2012). A general family of ratio-types estimators in systematic sampling, Journal of Reliability and Statistical Studies, 5(1), p. 73-82.
Singh, V. K. and Seth, S. K. (2014). On the use of one-parameter family of synthetic estimators for small areas, Journal of Statistics Application and Probability, 3(3), p. 355-361.
Singh, V. K. and Seth, S. K. (2015). An efficient family of synthetic estimators for small areas and applications, Journal of Statistical Applications and Probability Letters, 2(1), p. 59-69.
Singh, B. and Sisodia, B. V. S. (2012). Small area estimation in longitudinal surveys, Journal of Reliability and Statistical Studies, 4(2), 83-91.
Sud, U.C., Chandra, H. and Gupta, V. K. (2014). Calibration-based product estimator in single and two phase sampling, Journal of Statistical Theory and Practice, 8(1), p. 1-11.
Tikkiwal, G. C. and Ghiya, A. (2000). A generalized class of synthetic estimators with application to crop acreage Estimation for Small domains, Biometric Journal, 42(7), p. 865-876.
Tikkiwal et al. (2013). On the performance of generalized regression estimator for small domains, Communications in Statistics-Simulation and Computation, 42, p. 891-909.
Udofia, G. A. (2002). Estimation of domains in double sampling for probabilities proportional to size, Sankhya, B 64, p. 82-89.
Wu, C. and Luan, Y. (2003). Optimal calibration estimators under two-phase sampling, Jornal of Official Statistics, 19(2), p. 119-131.
