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Modelling Sensitive Issues On Successive Waves

Author

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  • Priyanka Kumari

    (Department of Mathematics, Shivaji College, University of Delhi, New Delhi, - 110 027, India .)

  • Trisandhya Pidugu

    (Department of Mathematics, Shivaji College, University of Delhi, New Delhi, - 110 027, India .)

Abstract

This paper addresses the problem of estimation of population mean of sensitive character using non-sensitive auxiliary variable at current wave in two wave successive sampling. A general class of estimator is proposed and studied under randomized and scrambled response model. Many existing estimators have been modified to work for sensitive population mean estimation. The modified estimators became the members of proposed general class of estimators. The detail properties of all the estimators have been discussed. Their behaviour under randomized and scrambled response techniques have been elaborated. Numerical illustrations including simulation have been accompanied to judge the performance of different estimators. Finally suitable recommendations are forwarded.

Suggested Citation

  • Priyanka Kumari & Trisandhya Pidugu, 2019. "Modelling Sensitive Issues On Successive Waves," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 41-65, March.
    • Handle: RePEc:vrs:stintr:v:20:y:2019:i:1:p:41-65:n:5
    DOI: 10.21307/stattrans-2019-003
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    References listed on IDEAS

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    1. Antonio Arcos & María del Rueda & Sarjinder Singh, 2015. "A generalized approach to randomised response for quantitative variables," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 1239-1256, May.
    2. Giancarlo Diana & Pier Perri, 2011. "A class of estimators for quantitative sensitive data," Statistical Papers, Springer, vol. 52(3), pages 633-650, August.
    3. Richa Mittal & Kumari Priyanka, 2014. "Effective Rotation Patterns for Median Estimation in Successive Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(2), pages 197-220, March.
    4. Shaul K. Bar-Lev & Elizabeta Bobovitch & Benzion Boukai, 2004. "A note on randomized response models for quantitative data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(3), pages 255-260, November.
    5. 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.
    6. Giancarlo Diana & Pier Francesco Perri, 2010. "New scrambled response models for estimating the mean of a sensitive quantitative character," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1875-1890.
    Full references (including those not matched with items on IDEAS)

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