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Journal of Statistical Theory and Practice

, Volume 5, Issue 4, pp 591–611 | Cite as

Multivariate Ratio Estimation in Presence of Non-response in Successive Sampling

  • Housila P. Singh
  • Sunil Kumar
  • Sandeep Bhougal
Article

Abstract

The problem of estimating the finite population mean on the samples selected over two occasions in presence of non-response has been considered. For the case when several auxiliary variables are positively correlated with the study variable, a double sampling multivariate ratio estimate from the matched portion of the sample is presented. Estimators for the current occasion are derived as a particular case when there is non-response on first (second) occasion respectively. The gain in efficiency and the cost function of the combined estimators over the direct estimate using no information gathered on the first occasion is computed. The comparison between the proposed strategy with other estimators is also carried out. An empirical study is also included for illustration.

AMS Subject Classification

62D05 

Key-words

Ratio estimator Successive sampling Gain in efficiency Non-response 

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  • Housila P. Singh
    • 1
  • Sunil Kumar
    • 2
  • Sandeep Bhougal
    • 3
  1. 1.School of Studies in StatisticsVikram UniversityUjjainIndia
  2. 2.Department of StatisticsUniversity of JammuJ & KIndia
  3. 3.School of Applied Physics and MathematicsShri Mata Vaishno Devi UniversityKakryal, Jammu, J & KIndia

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