Benfordness of the Generalized Gamma Distribution

  • 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.

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

Copyright (c) 2022 Steven J. Miller, Zelong Bi, Irfan Durmic

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