Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Multivariate Rotation Design for Population Mean in Sampling on Successive Occasions

  • Priyanka, Kumari (Department of Mathematics, Shivaji College (University of Delhi)) ;
  • Mittal, Richa (Department of Mathematics, Shivaji College (University of Delhi)) ;
  • Kim, Jong-Min (Statistics, Division of Science and Mathematics, University of Minnesota-Morris)
  • Received : 2015.04.03
  • Accepted : 2015.08.17
  • Published : 2015.09.30
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Abstract

This article deals with the problem of estimation of the population mean in presence of multi-auxiliary information in two occasion rotation sampling. A multivariate exponential ratio type estimator has been proposed to estimate population mean at current (second) occasion using information on p-additional auxiliary variates which are positively correlated to study variates. The theoretical properties of the proposed estimator are investigated along with the discussion of optimum replacement strategies. The worthiness of proposed estimator has been justified by comparing it to well-known recent estimators that exist in the literature of rotation sampling. Theoretical results are justified through empirical investigations and a detailed study has been done by taking different choices of the correlation coefficients. A simulation study has been conducted to show the practicability of the proposed estimator.

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References

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