Confidence limits for flood-frequency curves computed from samples from Pearson type III populations

Clayton H. Hardison

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USGS · 70156631

Confidence limits for flood-frequency curves computed from samples from Pearson type III populations

Clayton H. Hardison

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Abstract

A study of T -year events computed from samples drawn from Pearson type III populations of known skew indicates that for skew coefficients between -1.0 and 1.0, confidence limits can be derived from the confidence limits computed for frequency curves based on samples from normal distributions. For samples from populations with skew coefficients between -0.5 and 0.5, the ratios of the standard deviates of the confidence limits to the standard deviates of the underlying frequency curve are approximately the same as for samples from normal distributions. A table provides adjustments required to make the ratios for normal distributions more applicable to distributions with skews in the range -1.0 to 1.0.

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Clayton H. Hardison. 1976. Confidence limits for flood-frequency curves computed from samples from Pearson type III populations. https://pubs.usgs.gov/publication/70156631

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