Improved rotation patterns using two auxiliary  variables in successive sampling .

Jaishree Prabha  Karna; Dilip Chandra  Nath

doi:https://doi.org/10.21307/stattrans-2018-002

Improved rotation patterns using two auxiliary variables in successive sampling .

Jaishree Prabha Karna Department of Statistics, Gauhati University, Guwahati – 781014, India. , Dilip Chandra Nath Department of Statistics, Gauhati University, Guwahati – 781014, India Statistics in Transition new series, vol. 19, 2018, 1, pages: 25-44 Published online: 1 March 2018 https://doi.org/10.21307/stattrans-2018-002

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ABSTRACT

The present paper emphasizes the role of two auxiliary variables on both the occasions to improve the precision of estimates at the current (second) occasion in two-occasion successive sampling. Information on two auxiliary variables, which are positively correlated with the study variable, has been used with the aid of exponential type structures and an efficient estimation procedure of population mean on the current (second) occasion has been suggested. The behaviour of the proposed estimator has been studied and compared with the sample mean estimator, when there is no matching from the previous occasion and natural successive sampling estimator, which is a linear combination of the means of the matched and unmatched portions of the sample at the current (second) occasion. Optimal replacement strategy is also discussed. The concluding remarks are discussed justifying utility of the proposed sampling scheme. The results have been well supported analytically as well as empirically by using real life data.

KEYWORDS

exponential type estimators, bias, mean squared error, optimum replacement strategy

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