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New Approaches Using Exponential Type Estimator With Cost Modelling for Population Mean on Successive Waves

Author

Listed:
  • Priyanka Kumari

    (Department of Mathematics, Shivaji College University of Delhi, Delhi, ; India)

  • Mittal Richa

    (Department of Mathematics, Shivaji College University of Delhi, Delhi, ; India)

Abstract

The key and fundamental purpose of sampling over successive waves lies in the varying nature of study character, it so may happen with ancillary information if the time lag between two successive waves is sufficiently large. Keeping the varying nature of auxiliary information in consideration, modern approaches have been proposed to estimate population mean over two successive waves. Four exponential ratio type estimators have been designed. The properties of proposed estimators have been elaborated theoretically including the optimum rotation rate.Cost models have also been worked out to minimize the total cost of the survey design over two successive waves. Dominances of the proposed estimators have been shown over well-known existing estimators. Simulation algorithms have been designed and applied to corroborate the theoretical results.

Suggested Citation

  • Priyanka Kumari & Mittal Richa, 2017. "New Approaches Using Exponential Type Estimator With Cost Modelling for Population Mean on Successive Waves," Statistics in Transition New Series, Statistics Poland, vol. 18(4), pages 569-587, December.
    • Handle: RePEc:vrs:stintr:v:18:y:2017:i:4:p:569-587:n:8
    DOI: 10.21307/stattrans-2017-001
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    References listed on IDEAS

    as
    1. 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.
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    1. Kumari Priyanka & Richa Mittal, 2017. "New Approaches Using Exponential Type Estimator With Cost Modelling For Population Mean On Successive Waves," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 569-587, December.
    2. Kumari Priyanka & Pidugu Trisandhya & Richa Mittal, 2018. "Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques," METRON, Springer;Sapienza Università di Roma, vol. 76(2), pages 203-230, August.
    3. Kumari Priyanka & Pidugu Trisandhya, 2019. "Modelling Sensitive Issues On Successive Waves," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 41-65, March.
    4. Priyanka Kumari & Trisandhya Pidugu, 2019. "Modelling Sensitive Issues On Successive Waves," Statistics in Transition New Series, Statistics Poland, vol. 20(1), pages 41-65, March.

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