Statistica (May 2013)

Ratio-cum-product type exponential estimator

  • Housila P. Singh,
  • L. N. Upadhyaya,
  • Rajesh Tailor

DOI
https://doi.org/10.6092/issn.1973-2201/3561
Journal volume & issue
Vol. 69, no. 4
pp. 299 – 310

Abstract

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This paper addresses the problem of estimating the population mean of the study variate Y using information on two auxiliary variables X1 and X2 . A ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. An almost unbiased ratio-cum-product type exponential estimator has also been derived by using Jackknife technique envisaged by Quenouille (1956). A generalized version of the ratio-cum-product exponential estimator has also been given along with its properties. Numerical illustration is given in support of the present study.