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Efficient classes of estimators in stratified random sampling

Author

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  • Ramkrishna Solanki
  • Housila Singh

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. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Ramkrishna Solanki & Housila Singh, 2015. "Efficient classes of estimators in stratified random sampling," Statistical Papers, Springer, vol. 56(1), pages 83-103, February.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:1:p:83-103
    DOI: 10.1007/s00362-013-0567-1
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    References listed on IDEAS

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    1. Housila Singh & Rajesh Tailor & Sarjinder Singh & Jong-Min Kim, 2008. "A modified estimator of population mean using power transformation," Statistical Papers, Springer, vol. 49(1), pages 37-58, March.
    2. Sat Gupta & Javid Shabbir, 2008. "On improvement in estimating the population mean in simple random sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(5), pages 559-566.
    3. T. Srivenkataramana & D. S. Tracy, 1979. "On ratio and product methods of estimation in sampling," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 33(1), pages 37-49, March.
    4. Housila P. Singh & Gajendra K. Vishwakarma, 2010. "A general procedure for estimating the population mean in stratified sampling using auxiliary information," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 47-65.
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