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Preliminary Test Regression Estimator When two Prior Values of Population Mean (μx) of an Auxiliary Variable (x) are Available

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  • D. Shukla
  • B. V. S. Sisodia

Abstract

A regression estimator using two prior values of population mean (μx) of an auxiliary variable (x) is proposed after a preliminary test of closeness of these prior values to the true valueμx. The proposed preliminary test regression estimator has been found to be more efficient in general than the usual regression estimator when prior values are used in place of μxwithout preliminary test of significance. The efficiency of the proposed estimator over the usual regression estimator has also been computed for different values of Δ0, Δ1, n, and ρ, which showed considerable gain in precision.

Suggested Citation

  • D. Shukla & B. V. S. Sisodia, 2015. "Preliminary Test Regression Estimator When two Prior Values of Population Mean (μx) of an Auxiliary Variable (x) are Available," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(17), pages 3541-3548, September.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:17:p:3541-3548
    DOI: 10.1080/03610926.2013.841922
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