Some rotation patterns in two-phase sampling

G. N. Singh; Shakti Prasad

doi:https://doi.org/10.59170/stattrans-2011-002

Some rotation patterns in two-phase sampling

G. N. Singh Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India , Shakti Prasad Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India Statistics in Transition new series, vol. 12, 2011, 1, pages: 25-44 Published online: 1 August 2011 https://doi.org/10.59170/stattrans-2011-002

79 Views 5 Downloads

ARTICLE

(English) PDF

ABSTRACT

A problem related to the estimation of population mean on the current occasion using two-phase successive (rotation) sampling on two occasions has been considered. Two-phase ratio, regression and chain-type estimators for estimating the population mean on current (second) occasion have been proposed. Properties of the proposed estimators have been studied and their respective optimum replacement policies are discussed. Estimators are compared with the sample mean estimator, when there is no matching and the natural optimum estimator, which is a linear combination of the means of the matched and unmatched portions of the sample on the current occasion. Results are demonstrated through empirical means of comparison and suitable recommendations are made.

KEYWORDS

Two-phase, successive sampling, auxiliary information, chain-type, bias, mean square error, optimum replacement policy.

REFERENCES

BIRADAR, R. S. AND SINGH, H. P. (2001): Successive sampling using auxiliary information on both occasions. Cal. Statist. Assoc. Bull. 51, 243- 251.

COCHRAN, W.G., (1977): Sampling Techniques. 3rd ed. New York: Wiley.Chaturvedi, D. K. and Tripathi, T. P. (1983): Estimation of population ratio on two occasions using multivariate auxiliary information. Jour. Ind. Statist. Assoc., 21, 113-120.

DAS, A. K. (1982): Estimation of population ratio on two occasions. Jour. Ind. Soc. Agric. Statist. 34, 1-9.

FENG, S. AND ZOU, G. (1997): Sample rotation method with auxiliary variable. Communications in Statistics-Theory and Methods, 26, 6, 1497-1509.

GUPTA, P. C. (1979): Sampling on two successive occasions. Jour. Statist. Res. 13, 7-16.

JESSEN, R.J. (1942): Statistical investigation of a sample survey for obtaining farm facts. Iowa Agricultural Experiment Station Research Bulletin No. 304, Ames, Iowa, U. S. A., 1-104.

PATTERSON, H. D. (1950): Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society, 12, 241-255.

RAO, J. N. K. and GRAHAM, J. E. (1964): Rotation design for sampling on repeated occasions. Jour. Amer. Statist. Assoc. 59, 492-509.

SEN, A. R. (1971): Successive sampling with two auxiliary variables. Sankhya, 33, Series B, 371-378.

SEN, A. R. (1972): Successive sampling with (p ≥ 1) Math. Statist., 43, 2031-2034. auxiliary variables. Ann.

SEN, A. R. (1973): Theory and application of sampling on repeated occasions with several auxiliary variables. Biometrics 29, 381-385.

SINGH, G. N. (2003): Estimation of population mean using auxiliary information on recent occasion in h-occasion successive sampling. Statistics in Transition, 6, 523-532.

SINGH, G. N. (2005): On the use of chain-type ratio estimator in successive sampling. Statistics in Transition, 7, 21-26.

SINGH, G. N. and SINGH, V. K. (2001): On the use of auxiliary information in successive sampling. Jour. Ind. Soc. Agric. Statist., 54 (1), 1-12.

SINGH, G. N. and PRIYANKA, K. (2006): On the use of chain-type ratio to difference estimator in successive sampling. IJAMAS, 5 (S06) 41-49.

SINGH, G. N. and PRIYANKA, K. (2007): On the use of auxiliary information in search of good rotation patterns on successive occasions. Bulletin of Statistics and Economics, 1 (A07) 42 - 60.

SINGH, G. N. and PRIYANKA, K. (2008): Search of good rotation patterns to improve the precision of estimates at current occasion. Communications in Statistics- Theory and Methods, 37(3), 337-348.

SINGH, V. K., SINGH, G. N. and SHUKLA, D. (1991): An efficient family of ratio-cum-difference type estimators in successive sampling over two occasions. Jour. Sci. Res. 41 C, 149-159.

SINGH, G. N. and KARNA, J. P (2009, a): Estimation of population mean on current occasion in two occasion successive sampling. METRON, 67(1), 69- 85.

SINGH, G. N. and KARNA, J. P (2009, b): Search of effective rotation patterns in presence of auxiliary information in successive sample over two-occasions. Statistics in Transition- New series 10(1), 59-73.

SUKHATME, P. V., SUKHATME, B. V., SUKHATME, S. and ASOK, C. (1984): Sampling theory of surveys with applications. Iowa State University Press, Ames, Iowa (USA) and Indian Society of Agricultural Statistics, New Delhi (India)