Exploring concomitants of generalized order statistics under the Huang–Kotz Farlie–Gumbel–Morgenstern bivariate model

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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Publication Details

Journal
Communications in Statistics - Simulation and Computation
Published
2026-07-27
DOI
https://doi.org/10.1080/03610918.2026.2704132
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

Exploring concomitants of generalized order statistics under the Huang–Kotz Farlie–Gumbel–Morgenstern bivariate model

Yashpal Singh Raghav, Nayabuddin
Communications in Statistics - Simulation and Computation
Statistical Distribution Estimation and Applications
article

Exploring concomitants of generalized order statistics under the Huang–Kotz Farlie–Gumbel–Morgenstern bivariate model

Yashpal Singh Raghav, Nayabuddin
article en

Abstract

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.

Communications in Statistics - Simulation and Computation
Jazan University (SA)
Openalex Percentile: Top 7%
Statistical Distribution Estimation and Applications
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