Benfordness of the Generalized Gamma Distribution

Authors

  • Zelong Bi University of New South Wales
  • Irfan Durmic Williams College
  • Steven J. Miller Williams College

DOI:

https://doi.org/10.46787/pump.v5i0.2816

Keywords:

Benford's law; Benford distribution; generalized gamma distribution; digit bias; Poisson summation

Abstract

The generalized gamma distribution shows up in many problems related to engineering, hydrology as well as survival analysis. Earlier work has been done that estimated the deviation of the exponential and the Weibull distribution from Benford's Law. We give a mathematical explanation for the Benfordness of the generalized gamma distribution and present a measure for the deviation of the generalized gamma distribution from the Benford distribution.

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Published

2022-05-15

How to Cite

Bi, Z., Durmic, I., & Miller, S. J. (2022). Benfordness of the Generalized Gamma Distribution. The PUMP Journal of Undergraduate Research, 5, 89–104. https://doi.org/10.46787/pump.v5i0.2816

Issue

Vol. 5 (2022): PUMP Journal of Undergraduate Research

Section

Articles

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The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.