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Novel Log Type Class Of Estimators Under Ranked Set Sampling

Author

Listed:
  • Shashi Bhushan

    (Dr. Shakuntala Misra National Rehabilitation University)

  • Anoop Kumar

    (Dr. Shakuntala Misra National Rehabilitation University)

Abstract

This paper suggests some novel class of log type estimators for the estimation of population mean of study variable under ranked set sampling by utilizing information on population mean of auxiliary variable. The mean square error of the proposed class of estimators is obtained to the first order of approximation. We have compared the proposed class of estimators with some existing competitors under some specific conditions. The theoretical results are validated by a computational study using real and simulated data sets. On the lines of McIntyre (Aust. J. Agr. Res. 3, 385–390 1952), Dell (1969) and Dell and Clutter (Biometrics 28, 545–555 1972), the effect of skewness and kurtosis over the efficiency of the proposed class of estimators have also studied and reported.

Suggested Citation

  • Shashi Bhushan & Anoop Kumar, 2022. "Novel Log Type Class Of Estimators Under Ranked Set Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 421-447, May.
    • Handle: RePEc:spr:sankhb:v:84:y:2022:i:1:d:10.1007_s13571-021-00265-y
    DOI: 10.1007/s13571-021-00265-y
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    References listed on IDEAS

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    1. Zamanzade, Ehsan & Mahdizadeh, M., 2017. "A more efficient proportion estimator in ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 28-33.
    2. Cem Kadilar & Yesim Unyazici & Hulya Cingi, 2009. "Ratio estimator for the population mean using ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 301-309, March.
    3. Nitu Mehta (Ranka) & V. L. Mandowara, 2016. "A modified ratio-cum-product estimator of finite population mean using ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(2), pages 267-276, January.
    4. L.N. Upadhyaya & H.P. Singh & J.W.E. Vos, 1985. "On The Estimation Of Population Means And Ratios Using Supplementary Information," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 39(3), pages 309-318, September.
    5. Ehsan Zamanzade & M. Mahdizadeh, 2018. "Estimating the population proportion in pair ranked set sampling with application to air quality monitoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(3), pages 426-437, February.
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    Cited by:

    1. Shashi Bhushan & Anoop Kumar & Sana Shahab & Showkat Ahmad Lone & Salemah A. Almutlak, 2022. "Modified Class of Estimators Using Ranked Set Sampling," Mathematics, MDPI, vol. 10(21), pages 1-13, October.
    2. Shashi Bhushan & Anoop Kumar & Usman Shahzad & Amer Ibrahim Al-Omari & Ibrahim Mufrah Almanjahie, 2022. "On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling," Mathematics, MDPI, vol. 10(18), pages 1-32, September.

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