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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Modification on PPS Sample Scheme with Replacement

Ayed R.A. Alanzi1, Naser A. Alodat2 and Ahmad M. Qazza3
  • 1 Majmaah University, Saudi Arabia
  • 2 Jadara University, Jordan
  • 3 Zarqa University, Jordan

Abstract

In this paper we have developed an alternative estimator for the Probability Proportional to Size (PPS) with replacement sampling scheme when certain characteristics under study are positively correlated with the selection probability. An analogue to the well-known superpopulation model for finite population is also suggested, using which, we compare the proposed estimator with Hansen and Hurwitz estimator. Finally, an empirical investigation of the performance of the propose estimator has also been made.

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 65-69

DOI: https://doi.org/10.3844/jmssp.2019.65.69

Submitted On: 30 March 2019 Published On: 19 June 2019

How to Cite: Alanzi, A. R., Alodat, N. A. & Qazza, A. M. (2019). Modification on PPS Sample Scheme with Replacement. Journal of Mathematics and Statistics, 15(1), 65-69. https://doi.org/10.3844/jmssp.2019.65.69

Open AccessCopyright: © 2019 Ayed R.A. Alanzi, Naser A. Alodat and Ahmad M. Qazza. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Correlation Coefficients
  • Probability Proportional to Size PPS with Replacement
  • Superpopulation Model