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Improved Rotation Patterns Using Two Auxiliary Variables In Successive Sampling

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  • Karna Jaishree Prabha

    (Department of Statistics, Gauhati University, Guwahati, – 781014, India .)

  • Nath Dilip Chandra

    (Department of Statistics, Gauhati University, Guwahati, – 781014, India .)

Abstract

The present paper emphasizes the role of two auxiliary variables on both the occasions to improve the precision of estimates at the current (second) occasion in two-occasion successive sampling. Information on two auxiliary variables, which are positively correlated with the study variable, has been used with the aid of exponential type structures and an efficient estimation procedure of population mean on the current (second) occasion has been suggested. The behaviour of the proposed estimator has been studied and compared with the sample mean estimator, when there is no matching from the previous occasion and natural successive sampling estimator, which is a linear combination of the means of the matched and unmatched portions of the sample at the current (second) occasion. Optimal replacement strategy is also discussed. The concluding remarks are discussed justifying utility of the proposed sampling scheme. The results have been well supported analytically as well as empirically by using real life data.

Suggested Citation

  • Karna Jaishree Prabha & Nath Dilip Chandra, 2018. "Improved Rotation Patterns Using Two Auxiliary Variables In Successive Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 25-44, March.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:1:p:25-44:n:3
    DOI: 10.21307/stattrans-2018-002
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    References listed on IDEAS

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    1. Nazeema T. Beevi & C. Chandran, 2017. "Efficient Family Of Ratio-Type Estimators For Mean Estimation In Successive Sampling On Two Occasions Using Auxiliary Information," Statistics in Transition New Series, Polish Statistical Association, vol. 18(2), pages 227-245, June.
    2. Zoramthanga Ralte & Gitasree Das, 2015. "Ratio-To-Regression Estimator In Successive Sampling Using One Auxiliary Variable," Statistics in Transition New Series, Polish Statistical Association, vol. 16(2), pages 183-202, June.
    3. Housila P. Singh & Surya K. Pal, 2017. "A class of exponential-type ratio estimators of a general parameter," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 3957-3984, April.
    4. Garib Nath Singh & Jaishree Prabha Karna, 2009. "Estimation of population mean on current occasion in two-occasion successive sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 87-103.
    5. Zoramthanga Ralte & Gitasree Das, 2015. "Ratio-to-regression estimator in successive sampling using one auxiliary variable," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(2), pages 183-202, June.
    Full references (including those not matched with items on IDEAS)

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