On Concomitants of Ordered Ranked Set Sampling from Morgenstern Family
- 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.
DOI: https://doi.org/10.3844/jmssp.2017.353.360
Copyright: © 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.
- 3,565 Views
- 1,991 Downloads
- 0 Citations
Download
Keywords
- Concomitants
- Gumbel’s Bivariate Exponential
- Morgenstern Family
- Ordered Ranked Set Sampling