SOME IMPROVED SUGGESTIONS IN CIRCULAR SYSTEMATIC SAMPLING UNDER FULLY AND PARTIALLY RESPONDENT CASE
Keywords:
Regression Estimator, Circular Systematic Sampling, Two-Phase Sampling, Non- Response, Asymptotic Variance, Efficiency.Abstract
This paper considers the problem of estimating population mean Y of survey variable Y using circular systematic sampling design along with non response problem. Motivated by Sahai and Ray (1980), Koyunsu and Kadilar (2010), Singh and Solanki (2013) and Singh and Malik(2014), we have suggested three modified class of estimators forY . The properties of the suggested estimators are discussed and are compared with sample mean and linear regression estimator. Also, an empirical study is carried out to judge the merits of suggested estimators over other competitors based on circular systematic sampling over simple random sampling.
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References
Cochran, W. G. (1946). Relative efficiency of systematic and stratified
random samples for a certain class of populations, Ann. Math. Stat., 17, p.
–177.
Diana, G., Giordan, M. and Perri, P. F. (2011). An improved class of
estimators for the population mean, Statistical Methods and Applications, 20,
p. 123–140.
Griffth, A. L. (1947). The efficiency of enumerations, Forest-Research
Institute, Dehradun, Indian Forest Leaflet No. 96, p. 1-7.
Hajeck, J. (1959). Optimum strategy and other problems in probability
sampling, Cosopis pro Pestovani Mathematiky, 84, p. 387–423.
Hansen, M. H. and Hurwitz, W. N. (1946). The problems of non-response in
sample surveys, Journal of American Statistical Association, 41, p. 517–529.
Koyuncu, N. and Kadilar, C. (2009). Efficient estimators for the population
mean, Hacettepe Journal of Mathematics and Statistics, 38, p. 217–223.
Koyunsu, N. and Kadilar, C. (2010). On improvement in estimating population
mean in stratified random sampling, Journal of Applied Statistics, 37(6), p.
-1013.
Lahiri, D. B. (1951). A method for selection providing unbiased estimates,
Bulletin of the International Statistical Institute, 33(2), p. 133–140.
Leu, C. and Kao, F. F.(2006). Modified balanced circular systematic
sampling, Statistics and Probability Letters, 76, p. 373–383.
Leu, C. and Tsui, K. W. (1996). New partially systematic sampling, Statistica
Sinica, 6, p. 617–630.
Sahai, A. and Ray, S. K. (1980). An efficient estimator using auxiliary
information, Metrika, 27, p. 271-275.
Singh, H. P. and Jatwa, N. K., (2012). A class of exponential-type estimators
in systematic sampling, Economic Quality Control, 27, p. 195–208.
Singh, H. P. and Solanki, R. S. (2013). An efficient class of estimators for the
population mean using auxiliary information, Communication in Statistics-
Theory and Methods, 42, p. 145–163.
Singh, R. and Malik, S. (2014). Improved estimators of population variance
using information on auxiliary attribute in simple random sampling, Applied
mathematics and computation, 235, p. 43-49.
Singh, R. and Singh, H. P. (1998). Almost unbiased ratio and product-type
estimators in systematic sampling, QUESTIIO 22(3), p. 403–416.
Singh, R., Malik, S., Chaudry, M. K., Verma, H. K. and Adewara, A. A.
(2012). A general family of ratio-type estimators in systematic sampling,
Journal of Reliability and Statistical Studies, 5(1), p. 73–82.
Swain, A. K. P. C. (1964). The use of systematic sampling in ratio estimate, J.
Ind. Stat. Assoc., 2(213), p. 160–164.
