Comparison of some common ratio estimators using pitman measure of nearness

Carl M.S. Lee, Shyamal Das Peddada

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7 Scopus citations


In this article we compare some common ratio estimators for estimating the population total of a given characteristic. The sampling schemes considered are simple random sampling (S.R.S.) and S.R.S. under stratification. The comparisons are made using the Pitman Nearness criterion under the model-based approach. The error term is assumed normal with mean zero and variance σ2(x). The function g(x) is a known function of the auxiliary variable x. Special interest is on the cases of g(x) =1 and x. The result is found the same as that using MSE criterion, although the PN is very different from the MSE intrinsically.

Original languageEnglish
Pages (from-to)2017-2027
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Issue number7
StatePublished - Jan 1 1987
Externally publishedYes


  • Pitman Nearness
  • quadratic loss
  • ratio estimator
  • regression estimator


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