Extreme Value Theory with Applications to Natural Hazards

图书简介

This richly illustrated book describes statistical extreme value theory for the quantification of natural hazards, such as strong winds, floods and rainfall, and discusses an interdisciplinary approach to allow the theoretical methods to be applied. The approach consists of a number of steps: data selection and correction, non-stationary theory (to account for trends due to climate change), and selecting appropriate estimation techniques based on both decision-theoretic features (e.g., Bayesian theory), empirical robustness and a valid treatment of uncertainties. It also examines and critically reviews alternative approaches based on stochastic and dynamic numerical models, as well as recently emerging data analysis issues and presents large-scale, multidisciplinary, state-of-the-art case studies. Intended for all those with a basic knowledge of statistical methods interested in the quantification of natural hazards, the book is also a valuable resource for engineers conducting risk analyses in collaboration with scientists from other fields (such as hydrologists, meteorologists, climatologists).

1 E. Garnier: Extreme Events and History: for a better consideration of natural hazards.- 2 N. Bousquet and P. Bernardara: Introduction.- Part I Standard Extreme Value Theory.- 3 P. Bernardara and N. Bousquet: Probabilistic modeling and statistical quantification of natural hazards.- 4 N. Bousquet: Fundamental concepts of probability and statistics.- 5 M. Andreewsky and N. Bousquet: Collecting and analyzing data.- 6 A. Dutfoy: Univariate extreme value theory: practice and limitations.- Part II Elements of Extensive Statistical Analysis.- 7 J. Weiss and M. Andreewsky: Regional extreme value analysis.- 8 S. Parey, T. Hoang: Extreme values of non-stationary time series.- 9 A. Dutfoy: Multivariate extreme value theory: practice and limits.- 10 S., T. Hoang and N. Bousquet: Stochastic and physics-based simulation of extreme situations.- 11 N. Bousquet: Bayesian extreme value theory.- 12 M. Andreewsky, P. Bernardara, N. Bousquet, A. Dutfoy and S. Parey: Perspectives.- Part III Detailed Case Studies on Natural Hazards.- 13 P. Bernardara: Predicting extreme ocean swells.- 14 M. Andreewsky: Predicting storm surges.- 15 S. Parey: Forecasting extreme winds.- 16 N. Roche and A. Dutfoy: Conjunction of rainfall in neighboring watersheds.- 17 A. Sibler and A. Dutfoy: Conjunction of a flood and a storm.- 18 E. Paquet: SCHADEX: an alternative to extreme value statistics in hydrology.- Appendix A.- Appendix B.- References.- Index.

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Extreme Value Theory with Applications to Natural Hazards 极值理论及其在自然灾害中的应用：从统计理论到工业实践 概率论

Extreme Value Theory with Applications to Natural Hazards

极值理论及其在自然灾害中的应用：从统计理论到工业实践
概率论