One Parameter Family of Estimators of Population Mean in Two-Occasion Successive Sampling
DOI:
https://doi.org/10.6092/issn.1973-2201/5573Keywords:
Successive sampling, Auxiliary information, Bias, Mean square error, Optimum replacement policyAbstract
The goal of this paper is to consider the problem of estimation of the population mean on current (second) occasion in two-occasion successive sampling. Some classes of estimators have been proposed and their detailed behaviours are examined. The dominance of the suggested classes of estimators has been established over sample mean estimator when there is no matching from the previous occasion and the natural successive sampling estimator. Optimum replacement strategies have been discussed. Empirical studies are carried out to study the performances of the proposed classes of estimator and suitable recommendations have been made.References
R. S. BIRADAR, H. P. SINGH (2001). Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin, 51, pp. 243–251.
D. K. CHATURVEDI, T. P. TRIPATHI (1983). Estimation of population ratio on two occasions using multivariate auxiliary information. Journal of Indian Statistical Association, 21, pp. 113–120.
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 Agricultural Statistics, 34, pp. 1–9.
S. FENG, G. ZOU (1997). Sample rotation method with auxiliary variable. Comunication 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.
R. J. JESSEN (1942). Statistical investigation of a sample survey for obtaining farm facts. Iowa Agricultural Experiment Station Research Bulletin, , no. 304, pp. 1–104.
H. D. PATTERSON (1950). Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society, 12, pp. 217–223.
J. N. K. RAO, J. E. GRAHAM (1964). Rotation design for sampling on repeated occasions. Journal of American Statistical Association, 59, pp. 492–509.
V. N. REDDY (1978). A study on the use of prior knowledge on certain population parameters in estimation. Sankhya C, 407.
A. R. SEN (1971). Successive sampling with two auxiliary variables. Sankhya, 33, no. Series B, pp. 371–378.
A. R. SEN (1972). Successive sampling with p (p 1) auxiliary variables. Annals of 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. 381–385.
G. N. SINGH (2001). Estimation of population mean using auxiliary information on recent occasion in h-occasion successive sampling. Statistics in Transition, 6, pp. 523–532.
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 Statistical Theory and Practice, 7, no. 1, pp. 146–155.
G. N. SINGH, J. P. KARNA (2009). Estimation of population mean on current occasions in two-occasion successive sampling. Metron, 67, no. 1, pp. 69–85.
G. N. SINGH, S. PRASAD (2013). Best linear unbiased estimators of population mean on current occasion in two-occasion successive sampling. Statistics in Transition-New Series, 14, no. 1, pp. 57–74.
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). On the use of auxiliary information in search of good rotation patterns on successive occasions. Bulletin of Statistics and Economics, 1, no. A07, pp. 42–60.
G. N. SINGH, K. PRIYANKA (2008). On the use of auxiliary variables to improve the precision of estimates at current occasion. Journal of Indian Society of Agricultural Statistics, 62, no. 3, pp. 253–265.
G. N. SINGH, K. PRIYANKA (2010). Estimation of population mean at current occasion in presence of several varying auxiliary variates in two occasion successive sampling. Statistics in Transition- new series, 11, no. 1, pp. 105–126.
G. N. SINGH, V. K. SINGH (2001). On the use of auxiliary information in successive sampling. Journal of Indian Society of Agricultural Statistics, 54, no. 1, pp. 1–12.
H. P. SINGH, R. TAILOR, S. SINGH, J. M. KIM (2011). Estimation of population variance in successive sampling. Quality and Quantity, 45, pp. 477–194.
H. P. SINGH, G. K. VISHWAKARMA (2009). A general procedure for estimating population mean in successive sampling. Communications in Statistics-Theory and Methods, 38, no. 2, pp. 293–308.
V. K. SINGH, D. SHUKLA (1987). One parameter family of factor-type ratio estimators. Metron, 45, no. 1-2,30, pp. 273–283.
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, 41, pp. 149–159.
P. V. SUKHATME, B. V. SHUKHATME, S. SHUKHATME, C. ASHOK (1984). Sampling theory of surveys with applications. Iowa State University Press, Ames, Iowa (USA) and Indian Society of Agricultural Statistics, New Delhi., New York.
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