DERIVATION OF THE GAMMA DISTRIBUTION BY USING THE PRINCIPLE OF MAXIMUM ENTROPY (POME)1 Academic Article uri icon

abstract

  • The principle of maximum entropy (POME) was used to derive the twoparameter gamma distribution used frequently in synthesis of instantaneous or finiteperiod unit hydrographs. The POME yielded the minimally prejudiced gamma distribution by maximizing the entropy subject to two appropriate constraints which were the mean of real values and the mean of the logarithms of real values of the variable. It provided a unique method for parameter estimation. Experimental data were used to compare this method with the methods of moments, cumulants, maximum likelihood estimation, and least squares. Copyright 1985, Wiley Blackwell. All rights reserved

published proceedings

  • JAWRA Journal of the American Water Resources Association

author list (cited authors)

  • Singh, V. P., & Singh, K.

citation count

  • 21

complete list of authors

  • Singh, Vijay P||Singh, Kulwant

publication date

  • December 1985

publisher