Journal of Statistical Theory and Practice

, Volume 5, Issue 2, pp 285–302 | Cite as

Improved Ratio and Product Exponential Type Estimators

  • Lakshmi N. UpadhyayaEmail author
  • Housila P. Singh
  • S. Chatterjee
  • Rohini Yadav


This paper addresses the problem of estimating the population mean using auxiliary information. Improved versions of Bahl and Tuteja (1991) ratio and product exponential type estimators have been proposed and their properties studied under large sample approximation. It has been shown that the proposed ratio and product exponential type estimators are more efficient than those considered by Bahl and Tuteja (1991) estimators, conventional ratio and product estimators and the usual unbiased estimator under some realistic conditions. An empirical study has been carried out to judge the merits of the suggested estimators over others. Theoretical and empirical results are sound and quite illuminating compared to other estimators.


Study variable Auxiliary variable Bias Mean squared error 


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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  • Lakshmi N. Upadhyaya
    • 1
    Email author
  • Housila P. Singh
    • 2
  • S. Chatterjee
    • 1
  • Rohini Yadav
    • 1
  1. 1.Department of Applied MathematicsIndian School of MinesDhanbadIndia
  2. 2.School of Studies in StatisticsVikram UniversityUjjainIndia

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