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Extremes in Nature

An Approach Using Copulas

  • Book
  • © 2007

Overview

  • Topics treated are diverse and of wide practical significance
  • Clear exposition of theoretical background
  • Application of copulas
  • Nonstationary, bivariate and multivariate methods
  • Treatment of natural disasters

Part of the book series: Water Science and Technology Library (WSTL, volume 56)

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Table of contents (5 chapters)

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About this book

The most powerful earthquake in 40 years occurred on 26th December 2004 off the west coast of Sumatra, Indonesia. The tsunami it generated turned into one of the worst known natural disasters when walls of water crashed across the Indian Ocean, causing waves to reach Somalia in Africa. The death toll, mainly in Indonesia and Sri Lanka, exceeded 200,000. Nine months later, hurricane Katrina devastated the southern coast of USA along the Gulf coast. Winds reached 281 kilometers per hour and the storm surge of over nine meters was the highest recorded in the United States. It brought destruction to New Orleans when portions of the 563 kilometers of levees surrounding the city were suddenly breached. Nearly 1700 people died and damages are currently estimated at $100 billion, the costliest natural disaster in the United States. Within days hurricane Rita, another maximum category hurricane, struck the same coastal region damaging Texas and other states, followed soon aft- wards by hurricane Wilma. Then on October 8th 2005 an earthquake in Kashmir, part of northern Pakistan and India, killed 75,000 inhabitants when innumerable buildings collapsed. Simultaneously, hurricane Stan led to costly landslides and more than 2000 deaths in Central America. To highlight the major catastrophes of nature during the previous decade, Cyclone Gorky and its storm surge caused 139,000 deaths in coastal Bangladesh during 1991.

Reviews

From the reviews:

"This monograph deals with both theoretical and practical aspects of the mathematical theory of extremes. ... The book surely will be interesting and useful to researchers and practitioners in the areas of geophysics and environmental sciences and engineering. It can be also useful to any one interested in having a rigorous summary of the main results and modern developments of the theory of extreme events in the context of physical applications." (Jaume Masoliver, Journal of Statistical Physics, Vol. 134, 2009)

Authors and Affiliations

  • Department of Mathematics, Universitá del Salento, Italy

    Gianfausto Salvadori

  • Department of Hydraulic, Environmental and Surveying Engineering, Politecnico di Milano, Italy

    Carlo De Michele, Nathabandu T. Kottegoda, Renzo Rosso

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