On Concomitants of Ordered Ranked Set Sampling from Morgenstern Family
Mohammed S. Kotb1 Show affiliations
- Al-Azhar University, Egypt
Journal of Mathematics and Statistics, Volume 13, Issue 4, pp. 353–360 · doi.org/10.3844/jmssp.2017.353.360
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.
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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
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