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A Note on Beta Distribution Goodness of Fit
Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
- 1 Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
- 2 Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
- 3 Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
Open Journal of Statistics·Volume 15 (2025)·Pages 35–40·Published 7 February 2025·DOI10.4236/ojs.2025.151002
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Abstract
The Beta Distribution is widely used in engineering and industrial applications. Goodness-of-fit procedures are revisited. Shapiro-Francia statistic is implemented in Beta distribution. A comparative study between the Anderson-Darling, Kolmogorov-Smirnov, Shapiro-Francia, and Chi-square goodness-of-fit test in testing for Beta distribution is performed using simulation.
KeywordsAnderson-Darling TestBeta-Normal Composite DistributionKolmogorov-Smirnov TestShapiro-Francia TestTruncated Normal Distribution
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