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A class of chain ratio-cum-dual to ratio type estimator with two auxiliary characters under double sampling in sample surveys

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  • B. K. Singh
  • S. Choudhury

Abstract

This paper considers a chain ratio-cum-dual to ratio type estimator for estimating population mean of the study variate using two auxiliary variates under double (two-phase) sampling procedure, when the information on another additional auxiliary variate is available along with the main auxiliary variate. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their bias and variances. The optimum values of the first phase and second phase sample sizes have been obtained for the fixed cost of survey. Theoretical and empirical studies have also been done to demonstrate the efficiency of the proposed estimator with respect to strategies which utilized the information on two auxiliary variates.

Suggested Citation

  • B. K. Singh & S. Choudhury, 2012. "A class of chain ratio-cum-dual to ratio type estimator with two auxiliary characters under double sampling in sample surveys," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(3), pages 519-536, December.
    • Handle: RePEc:csb:stintr:v:13:y:2012:i:3:p:519-536
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    References listed on IDEAS

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    1. Manoj Kumar & Shashi Bahl, 2006. "Class of dual to ratio estimators for double sampling," Statistical Papers, Springer, vol. 47(2), pages 319-326, March.
    2. B. Kiregyera, 1984. "Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 31(1), pages 215-226, December.
    3. Housila Singh & Mariano Ruiz Espejo, 2007. "Double Sampling Ratio-product Estimator of a Finite Population Mean in Sample Surveys," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(1), pages 71-85.
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    Cited by:

    1. Kahle, David J. & Young, Phil D. & Greer, Brandi A. & Young, Dean M., 2016. "Confidence intervals for the ratio of two Poisson rates under one-way differential misclassification using double sampling," Computational Statistics & Data Analysis, Elsevier, vol. 95(C), pages 122-132.

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