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October 13, 2025Open Access

Closed-form parameter estimation for the bivariate gamma distribution: New approaches

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The new estimators show strong consistency and asymptotic normality, enhancing reliability.
Monte Carlo experiments reveal comparable performance to maximum likelihood estimators without iterative optimization.
The proposed approaches demonstrate advantages over existing methods by Zhao et al. and Nawa and Nadarajah.
A real hydrological dataset analysis illustrates the practical applications of the new estimators.

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This paper proposes new closed-form estimators for the bivariate gamma distribution, indicating significant performance improvements.

Vila et al. (2025) studied this question.

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