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Estimation of the mean in ranked set sampling with non responses
Authors:Carlos N. Bouza
Affiliation:(1) Departamento de Matemática Aplicada, Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L. Habana CP 10 400. Cuba (e-mail: bouza@matcom.uh.cu), CU
Abstract:The estimation of the population mean when ranked set sampling [rss] is used for selecting the sample and non responses [nr] are present, is studied. The nr stratum is sub sampled using simple random sampling with replacement. Two strategies are analyzed. One of them is based on the selection of a sub sample from the nr in each cycle. The other uses sub samples selected among the nr in each rank.  The accuracy of the proposed estimators is characterized by the corresponding expected variances. Simulations and real life data are used for analyzing the behavior of them. Acknowledgements: This paper was developed partially during the visit of the author to Université des Antilles et Gouyane. The author gratefully acknowledges the helpful suggestions of the referees and thanks the support of DAAD for visiting Humboldt University where a version of the paper version was made.
Keywords:: Ranked set sampling  non respondents  efficiency  sub sampling
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