A closed form for Estimating the Two Parameter Beta Distribution
DOI:
https://doi.org/10.65405/jnqx8e24الملخص
Recently the closed form estimators of the two parameter beta distribution have been proposed and investigated by several authors. This is due to its importance over the maximum likelihood estimates sometimes. In this paper we present new closed form to estimate beta parameters with simple formula. The proposed methods are compared with the maximum likelihood and moments estimates through simulation study. The results showed that the proposed method efficiently estimated the parameters and its performance get closer to the maximum likelihood and the moment estimates as the sample size increases.
التنزيلات
المراجع
Chen, P. & Xiao, X. (2025): Novel closed-form point estimators for the beta distribution. Statistical Theory and Related Fields, 9(1), 12-33.
Gupta, A.K.; Nadarajah, S. (2004): Handbook of Beta Distribution and Its Applications; CRC Press: New York, NY, USA.
Nawa, V.M.; Nadarajah, S. (2023): New Closed Form Estimators for the Beta Distribution. Mathematics, 11, 2799.
Papadatos, N. D. (2024). On point estimators for Gamma and Beta distributions. The American Statistician, 78(4), 1–6.
Tamae, H., Irie, K., & Kubokawa, T. (2020). A score-adjusted approach to closed-form estimators for the gamma and beta distributions. Japanese Journal of Statistics and Data Science, 3(2), 543–561.
Xiao, X., Chen, P., Ye, Z. S., & Tsui, K. L. (2021). On computing multiple change points for the gamma distribution. Journal of Quality Technology, 53(3), 267–288.
Ye, Z. S., & Chen, N. (2017). Closed-form estimators for the gamma distribution derived from likelihood equations. The American Statistician, 71(2), 177–181.
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الحقوق الفكرية (c) 2026 مجلة العلوم الشاملة

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