Extreme and systemic risk analysis : a loss distribution approach
著者
書誌事項
Extreme and systemic risk analysis : a loss distribution approach
（Integrated disaster risk management / series editor in chief, Norio Okada ; series editors, Aniello Amendola, Adam Rose, Ana Maria Cruz）
Springer, c2020
- : [pbk]
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book is about how extreme and systemic risk can be analyzed in an integrated way. Risk analysis is understood to include measurement, assessment as well as management aspects. Integration is understood as being able to perform risk analysis for extreme and systemic events simultaneously. The presented approach is based on Sklar's theorem, which states that a multivariate distribution can be separated into two parts - one describing the marginal distributions and the other describing the dependency between the distributions using a so-called copula. It is suggested to reinterpret Sklar's theorem from a system or network perspective, treating copulas as a network property and individual, including extreme, risk as elements within the network. In that way, extreme and systemic risk can be analyzed independently as well as jointly across several scales. The book is intended for a large audience, and all techniques presented are guided with examples and applications with a special focus on natural disaster events. Furthermore, an extensive literature and discussion of it are given in each chapter for the interested reader.
目次
1 Introduction
References
2 Individual and Extreme Risk
2.1 The Loss Distribution
2.2 Extreme Value Theory and Statistics
2.2.1 Distributions of Maxima
2.2.2 Distribution of Exceedances
2.2.3 Point Process Characterization of Extremes
2.2.4 Modeling the r Largest Order Statistics
2.2.5 Temporal Dependence and Non-Stationarity Issues
2.3 Risk Management using Loss Distributions
References
3 Systemic Risk and Dependencies
3.1 Dependency Measures
3.2 Multivariate Dependency Modelling with Copulas
3.3 A Joint Framework Using Sklar's Theorem: Copula's as a network property
3.4 Differences and Similarities between Extreme and Systemic Risk Management
References
4 Application
4.1 Modelling Applications
4.1.1 Hierarchical Coupling: Flood Risks on the Regional Level.
4.1.2 Minimax and Structural Coupling: Pan-European Flooding
4.1.3 Vine Coupling: Large Scale Drought Risk
4.2 Measuring and Managing Individual and Systemic Risk
4.2.1 Risk-Layering on the Regional Level
4.2.2 An Application to the EU Solidarity Fund
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