WIT Press

The Halphen Family Of Distributions For Modeling Maximum Annual Flood Series: New Developments

Price

Free (open access)

Volume

6

Pages

8

Published

1994

Size

744 kb

Paper DOI

10.2495/ENV940402

Copyright

WIT Press

Author(s)

L. Perreault, V. Fortin & B. Bobee

Abstract

Design of hydraulic structures, optimal operation of reservoirs, and flood forecasting involve estimation of flood flows x^,, with given specified return period T. This estimation is generally achieved by fitting a probability distribution to observed data. In this paper, we briefly present some recent theoretical results of a study on Halphen distributions which were developed in the early forties but have been little used due to the computational complexity. This family of three distributions was motivated by Halphen's desire to construct probability models which met specific requirements of fitting hydrological variables. Halphen probability models have great potential applicability in statistical flood analysis but are not yet fami

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