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On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling

Author

Listed:
  • Shashi Bhushan

    (Department of Statistics, University of Lucknow, Lucknow 226007, India
    These authors contributed equally to this work.)

  • Anoop Kumar

    (Department of Statistics, Amity University, Lucknow 226028, India
    These authors contributed equally to this work.)

  • Usman Shahzad

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Amer Ibrahim Al-Omari

    (Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan
    These authors contributed equally to this work.)

  • Ibrahim Mufrah Almanjahie

    (Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia
    Statistical Research and Studies Support Unit, King Khalid University, Abha 62529, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this manuscript, we propose the combined and separate difference and ratio type estimators of population mean using stratified ranked set sampling. Additionally, several well-known estimators are identified as the sub-class of the suggested estimators. The characteristics of the suggested estimators have been analyzed and their effective performances are compared with the prominent estimators existing till date. Moreover, to prove the credibility of the theoretical findings, an extensive empirical study is administered over some real and hypothetically yielded symmetric and asymmetric populations.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3283-:d:911445
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    References listed on IDEAS

    as
    1. Daniel F. Linder & Hani Samawi & Lili Yu & Arpita Chatterjee & Yisong Huang & Robert Vogel, 2015. "On stratified bivariate ranked set sampling for regression estimators," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(12), pages 2571-2583, December.
    2. Shashi Bhushan & Anoop Kumar, 2022. "On optimal classes of estimators under ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(8), pages 2610-2639, April.
    3. Ramkrishna S. Solanki & Housila P. Singh, 2016. "An improved estimation in stratified random sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(7), pages 2056-2070, April.
    4. 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.
    5. Matúš Maciak & Michal Pešta & Barbora Peštová, 2020. "Changepoint in dependent and non-stationary panels," Statistical Papers, Springer, vol. 61(4), pages 1385-1407, August.
    6. Housila P. Singh & Gajendra K. Vishwakarma, 2010. "A general procedure for estimating the population mean in stratified sampling using auxiliary information," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 47-65.
    7. Nursel Koyuncu & Cem Kadilar, 2010. "On improvement in estimating population mean in stratified random sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(6), pages 999-1013.
    8. Ramkrishna S. Solanki & Housila P. Singh, 2014. "An Efficient Class of Estimators for the Population Mean Using Auxiliary Information in Stratified Random Sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(16), pages 3380-3401, August.
    9. Lili Yu & Hani Samawi & Daniel Linder & Arpita Chatterjee & Yisong Huang & Robert Vogel, 2017. "On stratified bivariate ranked set sampling with optimal allocation for naïve and ratio estimators," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(3), pages 457-473, February.
    10. Shashi Bhushan & Anoop Kumar, 2022. "Correction to: 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 448-448, May.
    11. Rohini Yadav & Lakshmi N. Upadhyaya & Housila P. Singh & S. Chatterjee, 2014. "Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Stratified Random Sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(15), pages 3269-3285, August.
    12. Hani M. Samawi & Mahmoud I. Siam, 2003. "Ratio estimation using stratified ranked set sample," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 75-90.
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