Efficient classes of estimators in stratified random sampling

Abstract

This article suggests two generalized classes of estimators of population mean using auxiliary information in stratified random sampling. The properties of the suggested classes are derived and asymptotic optimum estimator in each class is identified with its properties. The large numbers of known estimators are members of the suggested classes such as usual unbiased estimator, usual combined ratio estimator (Hansen et al., Am Stat Assoc 41:173–189, 1946), usual combined product estimator (Kaur, Biom J 27(1):101–105, 1985), and estimators /classes of estimators due to Kaur (Biom J 26(7):749–753, 1984, Biom J 27(1):101–105, 1985), Diana (Statistica 53(1):59–66, 1993), Kadilar and Cingi (Biom J 45(2):218–225, 2003, Commun Stat Theory Methods 34(3):597–602, 2005), Shabbir and Gupta (Am J Math Manag Sci 25(3–4):293–311, 2005), Singh and Vishwakarma (Metodologia de Encuestas, Monografico: Incidencias en el trabjo de Campo 7(1):32–40, 2006a, Stat Trans 7(6):1311–1325, 2006b), Singh et al. (Stat Pap 49(1):37–58, 2008, SORT 34(2):157–180, 2010), Tailor (Data Sci Jour 8:182–189, 2009), Koyuncu and Kadilar (J Stat Plan Inference 139(8):2552–2558, 2009, Pak J Stat 26(2):427–443, 2010b) and Tailor et al. (Commun Korea Stat Soc 18(1):111–118, 2011). The theoretical and empirical studies are carried out and findings are encouraging and support the soundness of the present study.