Copulas in Statistics
نویسنده
چکیده
Copulas are a useful tool for understanding relationships among multivariate variables, and are important tools for describing the dependence structure between random variables, with different copulas representing different dependencies. Since the study of dependence is critically important in Statistics in order to carry out reliable analyses, understanding and applying results from copulas can be very beneficial. In this project the current status of copulas is investigated, but prior to that an understanding of copulas and their properties is developed. Different applications to Statistics are considered. In particular, the application in Extreme Value Theory is investigated. This area of application has grown tremendously during the last decade and is an area of rapid development of new ideas. In addition, methods of estimating copulas and simulating multivariate outcomes from copulas are described.
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