Performing quantiles in regression sampling strategy

Article type: Research Article

Authors: Wywiał, Janusz L.

Affiliations: Katowice University of Economics, Department of Statistics, 14 Bogucicka, 40-226 Katowice, Poland. E-mail: [email protected]

Abstract: Estimation of the population average in a finite population by means of sampling strategy dependent on the sample quantile of an auxiliary variable is considered. The sampling design is proportionate to the difference of two quantiles of an auxiliary variable. The sampling scheme implementing the sampling design is proposed. The derived inclusion probabilities are applied to estimation the population mean using the well known Horvitz-Thompson estimator. Moreover, the regression estimator is defined as the function of the slope coefficient dependent on the quantiles of the auxiliary variable.

Keywords: sampling design, order statistic, sample quantile, auxiliary variable, Horvitz-Thompson statistic, inclussion probabilities, sampling scheme, regression estimator

DOI: 10.3233/MAS-2009-0115

Journal: Model Assisted Statistics and Applications, vol. 4, no. 2, pp. 131-142, 2009