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On uniform metrizability of the functor of idempotent probability measures
uniformly metrizability of functors idempotent probability measures General Topology
2012/4/17
In the present paper we show that the functor of idempotent probability measures satisfies all of conditions with an additional claim of uniform metrizability of functors.
Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
Fourier transform Stieltjes transform Cauchy distribution non-commutative probability theory
2010/12/1
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This nables us to gen-eralize moments for some class of probability measures which do not have moments in the usual ...
A Result On the Probability Measures Dominated by ${\pmb g}$-Expectation
Backward stochastic differential equation g-expectation conditional g-expectation Girsanov transformation
2007/12/12
It is proved that a probability measure is dominated by$g$-expectation ${\cal E}_{\mu}[\cdot]$ if and only if it can begenerated by Girsanov transformation via a process which isuniformly bounded by ...
A New Factorization Property of the Selfdecomposable Probability Measures
Selfdecomposable s-selfdecomposable background driving L´ evy process class U class L factorization property
2010/12/8
We prove that the convolution of a selfdecomposable dis-tribution with its background driving law is again selfdecomposable if and only if the background driving law is s-selfdecomposable.