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

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