Journal of the International Association for Mathematical Geology

, Volume 4, Issue 1, pp 1–24

A generalized set of discrete frequency distributions with Fortran program

  • Charles E. Gates
  • Frank G. Ethridge

DOI: 10.1007/BF02083189

Cite this article as:
Gates, C.E. & Ethridge, F.G. Mathematical Geology (1972) 4: 1. doi:10.1007/BF02083189


Geologists unfamiliar with the application of probability theory to discrete data in other fields of research are usually acquainted with only three discrete theoretical frequency distributions: Poisson, binomial, and negative binomial distributions. In some situations these distributions may fail to adequately describe a set of experimental data. Other distributions such as the Poisson with zeros, Neyman type A, logarithmic with zeros, Poisson-binomial, and Thomas double Poisson together with the more common Poisson, binomial, and negative binomial form a generalized subset of discrete theoretical distributions, one of which should fit almost any experimental data set. A computer program is presented which allows testing of any combination of these distributions against observed discrete data.

Key words

discrete frequency distributionsstatisticsgeneral geology

Copyright information

© Plenum Publishing Corporation 1972

Authors and Affiliations

  • Charles E. Gates
    • 1
  • Frank G. Ethridge
    • 2
  1. 1.Institute of StatisticsTexas A & M UniversityUSA
  2. 2.Department of GeologySouthern Illinois UniversityUSA