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Original Research

ONSAMPLINGWITHPROBABILITYPROPORTIONALTOSIZEWITHREPLACEMENT

NASER A. ALODA, AYED RHEAL A ALANZI, AYMAN A . HAZAYMEH

Vol 16, No 02 ( 2021 )   |  DOI: 10.5281/zenodo.6552294   |   Author Affiliation: Department of Mathematics, Jadara University, P.O. Box (733), postal code 21111, Irbid-Jordan ; Department of Mathematics, College of Science and Human Studies at HotatSudair,Majmaah University,Majmaah 11952, Saudi Arabia; Department of Mathematics, Jadara University, P.O. Box (733), postal code 21111, Irbid-Jordan   |   Licensing: CC 4.0   |   Pg no: 1-11   |   Published on: 08-02-2021

Abstract

In this paper we suggested a new transformation for the selection probability under positive correlation coefficient between study variable (y)and measure of size variable (x). The relative efficiency of the proposed estimator has been studied under a superpopulation model. A numerical investigation into the performance of the estimator has been made.


Keywords

Hansen Hurwitz, Probability Proportional to size, Estimator, sampling with replacement.