Far East Journal of Theoretical Statistics
Volume 68, Issue 2 (In progress), Pages 255 - 262
(August 2024) http://dx.doi.org/10.17654/0972086324015 |
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A NOTE ON PARAMETER ESTIMATION IN BETA DISTRIBUTION
Mezbahur Rahman and Md Iftekhar Amin
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Abstract: Noting that Beta distribution is widely used in engineering and industrial applications, we revisit parameter estimation procedures. A comparative study between the Method of Moment, the Method of Moment involving sample median instead of sample mean, and the Maximum Likelihood estimate has been performed using simulation.
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Keywords and phrases: Newton-Raphson method, Digamma function, Trigamma function.
Received: March 19, 2024; Accepted: April 22, 2024; Published: June 21, 2024
How to cite this article: Mezbahur Rahman and Md Iftekhar Amin, A note on parameter estimation in Beta distribution, Far East Journal of Theoretical Statistics 68(2) (2024), 227-235. https://doi.org/10.17654/0972086324015
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License ![](/admin/tinymce_uploads/cc pic1.png) ![](/admin/tinymce_uploads/cc pic2.png)
References:
[1] M. Evans, N. Hastings and B. Peacock, Statistical Distributions, Wiley Series in Probability and Statistics, John Wiley and Sons, Inc., 2000. [2] M. Raschke, Empirical behavior of tests for the beta distribution and their application in environmental research, Stochastic Environmental Research and Risk Assessment 25(1) (2011), 79-89.
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