This mathematical exploration reveals the distributions and estimators of order statistics, indicating their application in statistical analysis.
In this paper, we have considered concomitants of generalized order statistics (CGOS) from the Huang–Kotz Farlie–Gumbel–Morgenstern (HK-FGM) bivariate distribution. Further, marginal and joint distributions of CGOS are obtained, and expressions for single and product moments are derived. Additionally, we provide the minimum variance linear unbiased estimator of the location and scale parameters of the concomitants of order statistics and record values separately, and numerical computations are carried out to illustrate the proposed methodology.
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Nayabuddin et al. (2026) studied this question.
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