Extreme Value Modeling and Risk Analysis: Methods and Applications

ISBN-13: 9781498701297 / Angielski / Twarda / 2015 / 520 str.

Dipak K. Dey; Jun Yan

Opis

Extreme events are critical in risk analysis in the fields such as finance, insurance, climate change and hydrology. Examples are maxima of temperature, wind speed, insurance claims, financial loss, and flood level. Extreme value theory plays a central role in risk management, extreme value modeling, and strategic adaptation. This book covers the latest applications of extreme value modeling and risk analysis. The book uses advanced statistical methodologies to demonstrate difference between extreme observations and the mean state data.

Spis treści

Univariate Extreme Value Analysis. Multivariate Extreme Value Analysis. Univariate Extreme Value Mixture Modeling. Threshold Selection in Extreme Value Analysis. Threshold Modeling of Nonstationary Extremes. Block-Maxima of Vines. Time Series of Extremes. Max-Autoregressive and Moving Maxima Models for Extremes. Spatial Extremes and Max-Stable Processes. Simulation of Max-Stable Processes. Conditional Simulation of Max-Stable Processes. Composite Likelihood for Extreme Values. Bayesian Inference for Extreme Value Modeling. Modeling Extremes Using Approximate Bayesian Computation. Estimation of Extreme Conditional Quantiles. Extreme Dependence Models. Nonparametric Estimation of Extremal Dependence. An Overview of Nonparametric Tests of Extreme-Value Dependence and of Some Related Statistical Procedures. Extreme Risks of Financial Investments. Interplay of Insurance and Financial Risks with Bivariate Regular Variation. Weather and Climate Disasters. The Analysis of Safety Data from Clinical Trials. Analysis of Bivariate Survival Data Based on Copulas with Log Generalized Extreme Value Marginals. Change Point Analysis of Top Batting Average. Computing Software.