Benfordness of the Generalized Gamma Distribution

  • Steven J. Miller Williams College
  • Zelong Bi University of New South Wales
  • Irfan Durmic Williams College
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
Miller, S. J., Bi, Z., & Durmic, I. (2022). Benfordness of the Generalized Gamma Distribution. The PUMP Journal of Undergraduate Research, 5, 89-104. Retrieved from https://journals.calstate.edu/pump/article/view/2816