Derivation of some frequency distributions using the principle of maximum entropy (POME) Academic Article uri icon

abstract

  • The principle of maximum entropy (POME) was employed to develop a procedure for derivation of a number of frequency distributions used in hydrology. The procedure required specification of constraints and maximization of entropy, and is thus a solution of the classical optimization problem. The POME led to a unique technique for parameter estimation. For six selected river gaging stations, parameters of the gamma distribution, the log-Pearson type III distribution and extreme value type I distribution fitted to annual maximum discharges, were evaluated by this technique and compared with those obtained by using the methods of moments and maximum likelihood estimation. The concept of entropy, used as a measured of uncertainty associated with a specified distribution, facilitated this comparison. 1986.

published proceedings

  • Advances in Water Resources

author list (cited authors)

  • Singh, V. P., Rajagopal, A. K., & Singh, K.

citation count

  • 48

complete list of authors

  • Singh, Vijay P||Rajagopal, AK||Singh, Kulwant

publication date

  • June 1986