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Principles of Copula Theory (Hardcover)
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Principles of Copula Theory (Hardcover)
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Principles of Copula Theory explores the state of the art on
copulas and provides you with the foundation to use copulas in a
variety of applications. Throughout the book, historical remarks
and further readings highlight active research in the field,
including new results, streamlined presentations, and new proofs of
old results. After covering the essentials of copula theory, the
book addresses the issue of modeling dependence among components of
a random vector using copulas. It then presents copulas from the
point of view of measure theory, compares methods for the
approximation of copulas, and discusses the Markov product for
2-copulas. The authors also examine selected families of copulas
that possess appealing features from both theoretical and applied
viewpoints. The book concludes with in-depth discussions on two
generalizations of copulas: quasi- and semi-copulas. Although
copulas are not the solution to all stochastic problems, they are
an indispensable tool for understanding several problems about
stochastic dependence. This book gives you the solid and formal
mathematical background to apply copulas to a range of mathematical
areas, such as probability, real analysis, measure theory, and
algebraic structures.
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