New approaches using exponential type estimator with  cost modelling for population mean on successive waves

Kumari  Priyanka; Richa  Mittal

doi:https://doi.org/10.21307/stattrans-2017-001

New approaches using exponential type estimator with cost modelling for population mean on successive waves

Kumari Priyanka Department of Mathematics, Shivaji College University of Delhi, India. , Richa Mittal Department of Mathematics, Shivaji College University of Delhi, India. Statistics in Transition new series, vol. 18, 2017, 4, pages: 569-588 Published online: 29 December 2017 https://doi.org/10.21307/stattrans-2017-001

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ABSTRACT

The key and fundamental purpose of sampling over successive waves lies in the varying nature of study character, it so may happen with ancillary information if the time lag between two successive waves is sufficiently large. Keeping the varying nature of auxiliary information in consideration, modern approaches have been proposed to estimate population mean over two successive waves. Four exponential ratio type estimators have been designed. The properties of proposed estimators have been elaborated theoretically including the optimum rotation rate.Cost models have also been worked out to minimize the total cost of the survey design over two successive waves. Dominances of the proposed estimators have been shown over well-known existing estimators. Simulation algorithms have been designed and applied to corroborate the theoretical results.

KEYWORDS

Successive sampling, Exponential type estimators, Dynamic ancillary information Population mean, Bias, Mean squared error, Optimum rotation rate

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