Transfer of Global Measures of Dependence into Cumulative Local

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DOI: 10.4236/am.2014.54058    4,325 Downloads   5,523 Views  Citations

ABSTRACT

We explore an idea of transferring some classic measures of global dependence between random variables Χ1, Χ2, L, Χn into cumulative measures of dependence relative at any point (χ1, χ2, L, χn) in the sample space. It allows studying the behavior of these measures throughout the sample space, and better understanding and use of dependence. Some examples on popular copula distributions are also provided.

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Dimitrov, B. , Esa, S. , Kolev, N. and Pitselis, G. (2014) Transfer of Global Measures of Dependence into Cumulative Local. Applied Mathematics, 5, 615-627. doi: 10.4236/am.2014.54058.

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