A Unified Approach to Flood Frequency Analysisby John N. Paine, Espey, Huston & Associates, Inc, Williamsburg, United States,
A. Osman Akan, Espey, Huston & Associates, Inc, Williamsburg, United States,
Abstract: Most stochastic hydrologic studies are based on statistical distributions that are pre-selected without giving consideration to the applicability of the distribution to a particular data series. In the United States for example, the Log-Pearson Type III distribution is suggested for national use (Water Resources Council, 1967). Many regulatory entities require that a particular distribution be used for statistical analyses, regardless of the goodness-of-fit. Statistical tests for goodness-of-fit (e.g. Chi-Square, Kolmogorov-Smirnov) can easily be employed to test the theoretical hypothesis that a particular distribution fits a given data series. It is logical and, now with the aid of computers, relatively simple to reduce a data series using several different statistical distributions, and to compare the applicability of all distributions based on a goodness-of-fit test. The distribution passing the goodness-of-fit test by the widest margin can be used as the 'best' fit of the data series.
Subject Headings: Flood frequency | Frequency analysis | Statistics | Hydrologic data | Water resources | Data analysis | Hydrologic models | Probability distribution | Stochastic processes | North America | United States
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