"Extreme, synchronized rises and falls in financial markets occur
infrequently but they do occur. The problem with the models is that
they did not assign a high enough chance of occurrence to the
scenario in which many things go wrong at the same time - the 'em
perfect storm' scenario" (Business Week, September 1998). This book
focuses on limiting theorems for copulae. Because joint dependences
of extremal events is nowadays is key issue in risk management, it
becomes crucial to get a better understanding of behavior of
copulas in tails. The first chapter presents a survey on copulae,
and possible applications in risk management. The following
chapters present some canonical theorems for copulae, and the link
between this approach and standard results on multivariate extreme
is explained. A concluding chapter presents a survey on graphical
procedures to represent copula densities (with proper fit) in
tails.
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