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$Multifractal analysis in hydrology - Ioulia Tchiriguyskaia, Daniel Schertzer, Eric Sauquet, Pietro Bernardara, Michel Lang - Éditions Quae$

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Multifractal analysis in hydrology

Application to Time Series

by Ioulia Tchiriguyskaia (writer), Daniel Schertzer (writer), Eric Sauquet (writer), Pietro Bernardara (writer), Michel Lang (writer)

Collection: Update Sciences & technologies

july 2007

eBook [ePub] [NR] format Download after purchase	11,99 €
eBook [PDF] [NR] format 59 pages Download after purchase	11,99 €

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Summary

This book provides a simplified description of the procedures to be used to perform an analysis of hydrological data within a multifractal framework. After a review of multifractal theory and the presentation of one model for identifying scale invariance properties, examples of applications to rainfall and discharge time series are given. It will be of interest to teachers and researchers in this field, both nationally and abroad.

The French version of this book, Analyse multifractale en hydrologie, is available on our website.

La version française de ce titre, Analyse multifractale en hydrologie, est disponible sur notre site.

Table of contents

Introduction

Chapter 1. Multifractal theory

How can phenomena be observed at different scales?

The scale ratio

Observations on and scales of hydrological processes

Singularities

A statistical description of multifractal processes

The codimension function c(y)

The statistical moments function K(q)

General properties of multifractals

Multifractals and extremes

The divergence of moments

Effect of the sample size

Diagnosis on the presence of extreme values

Description of multiplicative cascade models

General description

Properties of series generated by a multiplicative cascade

Comment on conservative and non-conservative fields

The universal multifractal model

Comment on the estimation of universal multifractal parameters

The universal multifractal model and extremes

Chapter 2. Application of multifractals to rainfall and discharge series

Data

Multifractal analysis of rainfall and discharge series

Spectral analysis

Analysis of scale of moments laws

Fitting the universal multifractal parameters

Comment on extreme values

Conclusion

Acknowledgements

Appendices

Fractional integration and differentiation

Table of notations used

References

List of authors

Press

More contents

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Features

Features

Language(s): English

Publisher: Éditions Quae

Edition: 1^st edition

Collection: Update Sciences & technologies

Published: 30 july 2007

Reference eBook [ePub]: 02056EPB

Reference eBook [PDF]: 02056NUM

EAN13 eBook [ePub]: 9782759213993

EAN13 eBook [PDF]: 9782759200627

Interior: Two-colour

Pages count eBook [PDF]: 59

How to read an ebook?

Size: 2.75 MB (ePub), 2.39 MB (PDF)

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