USGS

Frequency Curves

U.S. Geological Survey, Techniques of Water-Resources Investigations, Book 4, Chapter A2

By H.C. Riggs


Table of Contents

Preface

Abstract

Introduction

Cumulative distributions

Distributions used in hydrology

Normal distribution

Lognormal distribution

Type I extreme-value distribution (Gumbel)

Type III extreme-value distribution

Pearson Type III distribution

Graphically defined distributions

Mathematical curve fitting

Normal distribution

Three-parameter distributions

Type I extreme-value distribution (Gumbel)

Type III extreme-value distribution

Graphical fitting

Example of graphical fitting

Use of historical data

Comparison of mathematical and graphical fitting

Describing frequency curves

Interpretation of frequency curves

Special cumulative frequency curves

References cited

 


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