In this article, we have suggested new methods of ratio exponential type imputation and proposed their corresponding point estimators to deal with the problems of non-response in sample surveys for the prior outlay of an auxiliary variable x. The expression of the biases and their mean square errors of the proposed estimators have been derived, upto the first order of large sample approximation under SRSWOR scheme and compared with the mean method of imputation, ratio method of imputation, regression method of imputation and the estimators of Singh and Horn (Metrika
A variety of practical problems can be addressed in the framework of rotation (successive) sampling. The present work presents a sample rotation pattern where sampling units are drawn on two successive occasions. The problem of estimation of population variance on current (second) occasion in two -occasion successive (rotation) sampling has been considered. A class of estimators has been proposed for population variance that includes many estimators as a particular case. Asymptotic properties of the proposed class of estimators are discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Optimum replacement policy is discussed. Results are supported with the empirical means of comparison.
The present work emphasizes the role of several stable auxiliary variables at both the occasions to improve the precision of estimates at current occasion in two-occasion successive sampling. A chain-type multiple linear regressions in ratio estimator has been proposed and its theoretical properties are examined. Relative comparison of efficiencies of the proposed estimator with the sample mean estimator, when there is no matching from the previous occasion and the natural successive sampling estimator, when no auxiliary information is used have been made. Theoretical results have been well supported with empirical illustrations.
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