Concordance measures for multivariate non-continuous random vectors
نویسندگان
چکیده
منابع مشابه
Multivariate measures of concordance
In 1984 Scarsini introduced a set of axioms for measures of concordance of ordered pairs of continuous random variables. We exhibit an extension of these axioms to ordered n-tuples of continuous random variables, n ≥ 2. We derive simple properties of such measures, give examples, and discuss the relation of the extended axioms to multivariate measures of concordance previously discussed in the ...
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The question about the definition of concordance between random vectors is an open problem because there is not an unanimous opinion about its meaning and its appropriate definition. Also the definition of multivariate risk measures encounters many difficulties. In this paper we want to investigate the relationship between these multivariate measures, essentially based on the relation between r...
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We explore the consequences of a set of axioms which extend Scarsini’s axioms for bivariate measures of concordance to the multivariate case and exhibit the following results: (1) A method of extending measures of concordance from the bivariate case to arbitrarily high dimensions. (2) A formula expressing the measure of concordance of the random vectors (±X1, · · · ,±Xn) in terms of the measure...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2010
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2010.06.011