Frequency Analyses of Natural Extreme Events

This book is of paramount importance in the fields of engineering and applied sciences, given that through the values obtained by these procedures, many structures, like spillways of dams and highway culverts, are designed and constructed.

The main aim of this book is to provide procedures for implementing many probability distribution functions, all of them based on using a standard and a common computational application known as Excel, which is available to any personal computer user. The computer procedures are given in enough detail, so readers can develop their own Excel worksheets.

All the probability distribution functions in the book have schemes to estimate its parameters, quantiles, and confidence limits through the methods of moments and maximum likelihood.

Introduces the reader to the implementation of procedures contained in book by using the spreadheets provided by Excel Provides graphs that are easy to construct for using them to display results and paste them to reports and homeworks Presents complete overview of what is going on processing of natural extreme data only using Excel spreadsheets

Contenu
Introduction.- Basic Notions of Probability and Statistics for Flood.- Normal Distribution.- Log-Normal Distribution with 2 parameters.- Log-Normal Distribution with 3 parameters.- Gamma Distribution.- Pearson Type III Distribution.- Log-Pearson Type III Distribution.- Extreme Value type I Distribution.- General Extreme Value Distribution.- Log-Normal Distribution with 3 parameters for the Minima.- Pearson Type III Distribution for the Minima.- Extreme Value Type III Distribution for the Minima.- General Extreme Value Distribution for the Minima.