Discrete, A Computer Program for Fitting Discrete Frequency Distributions

  • Charles E. Gates
Conference paper
Part of the Lecture Notes in Statistics book series (LNS, volume 55)


The computer program DISCRETE, which fits eight common discrete distributions, has been generalized to fit, in principle, any discrete distribution. The quid pro quo is that the user has to provide initial estimates of the parameters and expand two pre-existing subprograms in FORTRAN. These subprograms specify the likelihood function and calculate the expected probabilities for all cells using the final estimates. The analyses of five carefully selected entomological data sets show that the researcher has to be careful in defining the sampling unit to be neither too large nor too small and that sample size must be sufficiently large to permit discrimination between various distributions.


Sampling Unit Negative Binomial Distribution Discrete Distribution Fitted Distribution Sorghum Plant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Bliss, C. T. & R. A. Fisher. 1953. Fitting the negative binomial distribution to biological data. Biometrics 9: 176–200.MathSciNetCrossRefGoogle Scholar
  2. Chakravarti, I. M., R. G. Laha, & J. Roy. 1967. Handbook of methods of applied statistics, Vol. 1. John Wiley, Ne York.MATHGoogle Scholar
  3. Cohen, A. C., Jr. 1960. An extension of a truncated Poisson distribution. Biometrics 16: 446–450.MathSciNetMATHCrossRefGoogle Scholar
  4. Douglas, J. B. 1955. Fitting the Neyman type A (two parameter) contagious distribution. Biometrics 11: 149–158.CrossRefGoogle Scholar
  5. Gates, C. E. & F. G. Ethridge. 1972. A generalized set of discrete frequency distributions with FORTRAN program. Intl. Assoc. for Math. Geo. 4: 1–24.CrossRefGoogle Scholar
  6. Gates, C. E., F. G. Ethridge. & J. D. Geaghan. 1987. Fitting discrete distributions. User’s documentation for the FORTRAN computer program DISCRETE. Texas A&M University, College Station.Google Scholar
  7. Harris, M. K. 1972. Host resistance to the pear psylla in New York. Ph.D dissertation, Cornell University, Ithaca.Google Scholar
  8. Johnson, N. L. & S. Kotz. 1969. Discrete distributions. Houghton Mifflin, Boston.MATHGoogle Scholar
  9. Katti, S. K. 1966. Interrelations among generalized distributions and their components. Biometrics 22: 44–52.MathSciNetCrossRefGoogle Scholar
  10. Lin, Shih—Kang. 1985. Characterization of lightning as a disturbance to the forest ecosystem in East Texas. M.S. thesis, Texas A&M University, College Station.Google Scholar
  11. McGuire, J. U., T. A. Brindley & T. A. Bancroft. 1957. The distribution of com borer larvae Pyrausta nubilalis (HBN.), in field corn. Biometrics 13: 65–78.CrossRefGoogle Scholar
  12. Ring, D. R. 1978. Biology of the pecan weevil, emphasizing the period from oviposition to larval emergence. M.S. thesis, Texas A&M University, College Station.Google Scholar
  13. Steel, R. G. D. & J. H. Torrie. 1980. Principles and procedures of statistics. 2nd Ed. McGraw, New York.MATHGoogle Scholar
  14. Thomas, M. 1949. A generalization of Poisson’s binomial limit for use in ecology. Biometrika 36: 18–25.MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Charles E. Gates
    • 1
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA

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