Ranked set sampling with missing observations: The estimation of the population mean and the difference of means

Issue title: Statistical Inference with Missing Data

Guest editors: Ma del Mar Rueda

Article type: Research Article

Authors: Bouza, Carlos N.

Affiliations: Facultad de Matematica y Computación, Universidad de La Habana, San Lázaro y L. Habana 10 400, Cuba. E-mail: bouza@matcom.uh.cu

Abstract: This paper is concerned with the analyses of ranked set sampling procedures for dealing with the existence of missing observations. We consider sub-sampling the non-respondents strata. The first visit may serve for ranking accurately the observed non-respondents. Two problems are considered: the estimation of a mean and the difference of means The sampling error of the proposed estimators are smaller than their simple sampling with replacement counter parts. Monte Carlo experiments are developed for evaluating the behavior of the estimators. The use of rss appears as the best alternative.

Keywords: Ranked set sampling, non-response, expected error, order statistics

DOI: 10.3233/MAS-2008-3206

Journal: Model Assisted Statistics and Applications, vol. 3, no. 2, pp. 127-138, 2008