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Double Sampling Ratio-product Estimator of a Finite Population Mean in Sample Surveys

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  • Housila Singh
  • Mariano Ruiz Espejo

Abstract

It is well known that two-phase (or double) sampling is of significant use in practice when the population parameter(s) (say, population mean X-super-¯) of the auxiliary variate x is not known. Keeping this in view, we have suggested a class of ratio-product estimators in two-phase sampling with its properties. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their variances. Conditions for the proposed estimator to be more efficient than the two-phase sampling ratio, product and mean per unit estimator are investigated. Comparison with single phase sampling is also discussed. An empirical study is carried out to demonstrate the efficiency of the suggested estimator over conventional estimators.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:1:p:71-85
    DOI: 10.1080/02664760600994562
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    References listed on IDEAS

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    1. Singh Housila P. & Espejo M. Ruiz, 2000. "An Improved Class Of Chain Regression Estimators In Two Phase Sampling," Statistics & Risk Modeling, De Gruyter, vol. 18(2), pages 205-218, February.
    2. V. Barnett & J. Haworth & T. M. F. Smith, 2001. "A two‐phase sampling scheme with applications to auditing or sed quis custodiet ipsos custodes?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(2), pages 407-422.
    3. Jeremy York & David Madigan & Ivar Heuch & Rolv Terje Lie, 1995. "Birth Defects Registered by Double Sampling: A Bayesian Approach Incorporating Covariates and Model Uncertainty," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 44(2), pages 227-242, June.
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    Citations

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    Cited by:

    1. Singh G. N. & Kumar Amod & Vishwakarma Gajendra K., 2018. "Development Of Chain-Type Exponential Estimators For Population Variance In Two-Phase Sampling Design In Presence Of Random Non-Response," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 575-596, December.
    2. Singh G. N. & Khetan M. & Maurya S., 2016. "Some Effective Estimation Procedures Under Non-Response in Two-Phase Successive Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 17(2), pages 163-182, June.
    3. 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.
    4. Thakur Narendra Singh & Shukla Diwakar, 2022. "Missing data estimation based on the chaining technique in survey sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 91-111, December.

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