Some Efficient Estimation Procedures under Non-Response in Two-Occasion Successive Sampling
DOI:
https://doi.org/10.6092/issn.1973-2201/5306Keywords:
Non-response, successive sampling, dynamic auxiliary variable, bias, mean square errorAbstract
This paper deals with the estimation of current population mean under non-response in two-occasion successive sampling. Information on a dynamic auxiliary variable has been used and efficient estimation procedures have been suggested which are capable in minimizing the negative impact of non-response when it occurred on current occasion in two-occasion successive sampling. Properties of the proposed estimation procedures have been studied and suitable recommendations are made.References
S. BAHL, R. K. TUTEJA (1991). Ratio and product type exponential estimator. Information and Optimization sciences, XII, no. I, pp. 159–163.
R. S. BIRADAR, H. P. SINGH (2001). Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin,, 51, no. 203-204, pp. 243–251.
R. K. CHOUDHARY, H. V. L. BATHAL, U. C. SUD (2004). On non-response in sampling on two occasions. Journal of Indian Society of Agriculture Statistics, 58, no. 3, pp. 331–343.
W. G. COCHRAN (1977). Sampling Techniques, 3rd edition. John Wiley & Sons, New York.
A. K. DAS (1982). Estimation of population ratio on two occasions. Journal of Indian Society of Agriculture Statistics, 34, pp. 1–9.
A. R. ECKLER (1955). Rotation sampling. Annals Mathematical Statistics, p. 664685.
C. O. FABIAN, L. HYUNSHIK (2000). Double sampling for ratio and regression estimation with sub-sampling the non-respondents. Survey Methodology, 26, no. 2, pp. 183–188.
S. FENG, G. ZOU (1997). Sample rotation method with auxiliary variable. Communication in Statistics Theory and Methods, 26, no. 6, pp. 1497–1509.
P. C. GUPTA (1979). Sampling on two successive occasions. Journal of Statistical Research, 13, pp. 7–16.
M. H. HANSEN, W. N. HURWITZ (1946). The problem of the non-response in sample surveys. Journal of the American Statistical Association, 41, p. 517-529.
R. J. JESSEN (1942). Statistical investigation of a sample survey for obtaining farm facts. Iowa Agricultural Experiment Station Road Bulletin No. 304, Ames, USA, pp. 1–104.
H. D. PATTERSON (1950). Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society Series B, 12, pp. 241–255.
J. N. K. RAO, J. E. GRAHAM (1964). Rotation design for sampling on repeated occasions. Journal of the American Statistical Association, 59, pp. 492–509.
V. N. REDDY (1978). A study on the use of prior knowledge on certain population parameters. Sankhya, 40, no. C, pp. 29–37.
A. R. SEN (1971). Successive sampling with two auxiliary variables. Sankhya, Series B, 33, pp. 371–378.
A. R. SEN (1972). Successive sampling with p (p 1) auxiliary variables. Annals Mathematical Statistics, 43, pp. 2031–2034.
A. R. SEN (1973). Theory and application of sampling on repeated occasions with several auxiliary variables. Biometrics, 29, pp. 381–38.
G. N. SINGH (2005). On the use of chain-type ratio estimator in successive sampling. Statistics in Transition, 7, no. 1, pp. 21–26.
G. N. SINGH, F. HOMA (2013). Effective rotation patterns in successive sampling over two occasions. Journal of statistics theory and Practice, 7, no. 1, pp. 146–155.
G. N. SINGH, J. P. KARNA (2009). Estimation of population mean on current occasion in two occasion rotation patterns. Metron, 57, no. 1, pp. 69–85.
G. N. SINGH, K. PRIYANKA (2006). On the use of chain-type ratio to difference estimator in successive sampling. International Journal of Applied Mathematics and Statistics, 5, no. S06, pp. 41–49.
G. N. SINGH, K. PRIYANKA (2007). Effect of non-response on current occasion in search of good rotation patterns on successive occasions. Statistics in Transition- New Series, 8, no. 2, pp. 273–292.
G. N. SINGH, K. PRIYANKA (2008). On the use of several auxiliary variates to improve the precision of estimates at current occasion. Journal of Indian Society of Agriculture Statistics, 62, no. 3, pp. 253–265.
G. N. SINGH, V. K. SINGH (2001). On the use of auxiliary information in successive sampling. Journal of Indian Society of Agriculture Statistics, 54, no. 1, pp. 1–12.
H. P. SINGH, S. KUMAR (2011). Effect of non-response on a class of estimators of population mean on current occasion in successive sampling on two occasions. Journal of Probability and Statistical Science, 9, no. 1, pp. 69–89.
H. P. SINGH, G. K. VISHWAKARMA (2007). Modified exponential ratio and product estimators for finite population mean in double sampling. Australian Journal of Statistics, 36, no. 3, pp. 217–225.
V. K. SINGH, G. N. SINGH, D. SHUKLA (1991). An efficient family of ratio cum difference type estimators in successive sampling over two occasions. Journal of Scientific Research, 41C, pp. 149–159.
P. V. SUKHATME, B. V. SUKHATME, S. SUKHATME, C. ASHOK (1984). Sampling theory of surveys with applications. Iowa State University Press, Ames, Iowa (USA) and Indian Society of Agriculture Statistics, New Delhi (India).
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