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Some properties of strongly and weakly divisible statistical structures in a Banach space of measures. (English) Zbl 1245.62061
Summary: Some properties of divisible statistical structures in a Banach space of measures are considered. Linear functionals of the integral type on the Banach space of measures are defined, and criteria for weak and strong divisibility of statistical structures are given in terms of such sets of functionals.
MSC:
62H05 Characterization and structure theory for multivariate probability distributions; copulas
46N30 Applications of functional analysis in probability theory and statistics
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