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

On Concomitants of Ordered Ranked Set Sampling from Morgenstern Family

Mohammed S. Kotb1
  • 1 Al-Azhar University, Egypt

Abstract

This paper develops the distribution theory of concomitants in the context of ordered ranked set sample from the Farlie-Gumbel-Morgenstern bivariate family. Here, we derive the joint distribution of concomitants of two ordered ranked set sample and obtain their single and product moments alongside the correlation coefficient. Finally, an application of the results in establishing the moments and the variance-covariance for the Gumbel’s bivariate exponential distribution.

Journal of Mathematics and Statistics
Volume 13 No. 4, 2017, 353-360

DOI: https://doi.org/10.3844/jmssp.2017.353.360

Submitted On: 23 September 2017 Published On: 27 December 2017

How to Cite: Kotb, M. S. (2017). On Concomitants of Ordered Ranked Set Sampling from Morgenstern Family. Journal of Mathematics and Statistics, 13(4), 353-360. https://doi.org/10.3844/jmssp.2017.353.360

Open AccessCopyright: © 2017 Mohammed S. Kotb. 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

  • Concomitants
  • Gumbel’s Bivariate Exponential
  • Morgenstern Family
  • Ordered Ranked Set Sampling