ARTICLE
ABSTRACT
In this paper, we proposed an efficient family of ratio-type estimators using one auxiliary variable for the estimation of the current population mean under successive sampling scheme. This family of estimators have been studied by Ray and Sahai (1980) under simple random sampling using one auxiliary variable for estimation of the population mean. Using these estimators in successive sampling, the expression for bias and mean squared error of the proposed estimators are obtained up to the first order of approximation. Usual ratio estimator is identified as a particular case of the suggested estimators. Optimum replacement strategy is also discussed. The proposed family of estimators at optimum condition is compared with the simple mean per unit estimator, Cochran (1977) estimator and existing other members of the family. Expressions of optimization are derived and results have been justified through numerical study interpretation
KEYWORDS
auxiliary information, bias, mean square error, optimum replacement
REFERENCES
BIRADAR, R. S., SINGH, H. P., (2001). Successive sampling using Auxiliary In formation on both the Occasions, Calcutta Statistical Association Bulletin, 51,243–251.
COCHRAN, W.G., (1977). Sampling Techniques. 3rd edition.
DAS, K., (1982). Estimation of population ratio on two occasions. Jour. Ind. Soc.Agri. Stat. 34 (2), 1–9.
JESSEN, R. J., (1942). Statistical Investigation of a sample survey for obtaining farm facts. Iowa Agricultural Experiment Statistical Research Bulletin, 304.
NARAIN, R. D., (1953). On the recurrence formula in sampling on successive oc casions. Jour. Ind. Soc. Agri. Stat., 5, 96–99.
PATTERSON, H. D., (1950). Sampling on successive occasions with partial re placement of units. Jour. Roy. Stat. Soc., B(12), 241–255.
RAO, J. N. K., MUDHOLKAR, G. S., (1967). Generalized multivariate estimators for the mean of finite population parameters. Jour. Amer. Stat. Asso., 62,1008–1012.
RAY, S. K., SAHAI, A., (1980). Efficient families of ratio and product type esti mators. Biometrika, 67(1), 211–215.
SEN, A. R., (1971). Successive sampling with two auxiliary variables. Sankhya,Series B, (33), 371–378.
SEN, A. R., (1973). Theory and application of sampling on repeated occasions.Jour. Amer. Stat. Asso., 59, 492–509.
SINGH, G. N., (2005). On the use of chain-type ratio estimator in successive sam pling, Statistics in Transition, 7, 21–26.
YATES, F., (1949). Sampling Methods for Censuses and Surveys. Charles Griffln and Co., London
