Copula Theory and Its Applications

Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 50's, copulas have gained considerable popularity in several fields of applied mathematics, such as finance, insurance and reliability theory. Today, they represent a well-recognized tool for market and credit models, aggregation of risks, portfolio selection, etc. This book is divided into two main parts: Part I - "Surveys" contains 11 chapters that provide an up-to-date account of essential aspects of copula models. Part II - "Contributions" collects the extended versions of 6 talks selected from papers presented at the workshop in Warsaw.

A new reference book for copula-based stochastic models A series of survey papers provides to the reader a general overview to copula theory and its most important applications An up-to-date account about recent developments in Includes supplementary material: sn.pub/extras

Auteur
Wolfgang Härdle is a professor of statistics at the Humboldt-Universität zu Berlin and director of C.A.S.E. the Centre for Applied Statistics and Economics. He teaches quantitative finance and semiparametric statistical methods. His research focuses on dynamic factor models, multivariate statistics in finance and computational statistics. He is an elected ISI member and advisor to the Guanghua School of Management, Peking University and to National Central University, Taiwan.

Contenu
Surveys.- Copula Theory: An Introduction.- Dynamic Modeling of Dependence in Finance via Copulae Between Stochastic Processes.- Copula Estimation.- Pair-Copula Constructions of Multivariate Copulas.- Risk Aggregation.- Extreme-Value Copulas.- Construction and Sampling of Nested Archimedean Copulas.- Tail Behaviour of Copulas.- Copulae in Reliability Theory (Order Statistics, Coherent Systems).- Copula-Based Measures of Multivariate Association.- Semi-copulas and Interpretations of Coincidences Between Stochastic Dependence and Ageing.- Contributed Papers.- A Copula-Based Model for Spatial and Temporal Dependence of Equity Markets.- Nonparametric and Semiparametric Bivariate Modeling of Petrophysical Porosity-Permeability Dependence from Well Log Data.- Testing Under the Extended Koziol-Green Model.- Parameter Estimation and Application of the Multivariate Skew t-Copula.- On Analytical Similarities of Archimedean and Exchangeable Marshall-Olkin Copulas.- Relationships Between Archimedean Copulas and Morgenstern Utility Functions.