Environmental and Ecological Statistics

, Volume 6, Issue 2, pp 119–133

Best linear unbiased estimators for the simple linear regression model using ranked set sampling

Authors

  • Maria Cecilia Mendes Barreto
    • Department of StatisticsThe Federal University of Sao Carlos
  • Vic Barnett
    • School of Mathematical SciencesThe University of Nottingham, University Park
Article

DOI: 10.1023/A:1009609902784

Cite this article as:
Barreto, M.C.M. & Barnett, V. Environmental and Ecological Statistics (1999) 6: 119. doi:10.1023/A:1009609902784

Abstract

When sample observations are expensive or difficult to obtain, ranked set sampling is known to be an efficient method for estimating the population mean, and in particular to improve on the sample mean estimator. Using best linear unbiased estimators, this paper considers the simple linear regression model with replicated observations. Use of a form of ranked set sampling is shown to be markedly more efficient for normal data when compared with the traditional simple linear regression estimators.

best linear unbiased estimatororder statisticsranked set samplessimple linear regression model
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© Kluwer Academic Publishers 1999