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AIMS Mathematics

2021, Volume 6, Issue 5: 5397-5409. doi: 10.3934/math.2021318
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Research article

Estimation of finite population mean under PPS in presence of maximum and minimum values

  • 1.
    Statistics Department, Faculty of Science, King Abdul Aziz University, Jeddah 21551, Saudi Arabia
  • 2.
    Department of Mathematics, Université de Caen, LMNO, Campus II, Science 3, 14032 Caen, France
  • 3.
    Department of Statistics, Government College University Lahore Lahore Pakistan
  • 4.
    Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
  • 5.
    Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63100, Pakistan
  • 6.
    The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra, 31951, Algarbia, Egypt
  • 7.
    Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
  • 8.
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • Received: 13 November 2020 Accepted: 03 March 2021 Published: 15 March 2021

  • MSC : 62D05

  • This article deals with the estimation of the finite population mean under probability proportional to size (PPS) sampling using information on the auxiliary variable along with the rank of the auxiliary variable. We propose a ratio, product and regression type estimators by incorporating the maximum and minimum values of the study variable and the auxiliary variable. The mathematical expressions of the proposed estimators are derived up to first order of approximation. Efficiency comparisons are made on the basis of real data sets.

    Citation: Sanaa Al-Marzouki, Christophe Chesneau, Sohail Akhtar, Jamal Abdul Nasir, Sohaib Ahmad, Sardar Hussain, Farrukh Jamal, Mohammed Elgarhy, M. El-Morshedy. Estimation of finite population mean under PPS in presence of maximum and minimum values[J]. AIMS Mathematics, 2021, 6(5): 5397-5409. doi: 10.3934/math.2021318

    Related Papers:

  • This article deals with the estimation of the finite population mean under probability proportional to size (PPS) sampling using information on the auxiliary variable along with the rank of the auxiliary variable. We propose a ratio, product and regression type estimators by incorporating the maximum and minimum values of the study variable and the auxiliary variable. The mathematical expressions of the proposed estimators are derived up to first order of approximation. Efficiency comparisons are made on the basis of real data sets.


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