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Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]
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IMA Journal of Numerical Analysis, 1985
The author presents a stochastic analysis for condition numbers of square matrices. The expected condition analysis has desirable properties under scaling transformations, which enables the equilibration of a matrix to be carried out. An optimal scaling enables the best conditioned of all the possible equilibrated matrices to be determined.
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The author presents a stochastic analysis for condition numbers of square matrices. The expected condition analysis has desirable properties under scaling transformations, which enables the equilibration of a matrix to be carried out. An optimal scaling enables the best conditioned of all the possible equilibrated matrices to be determined.
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CONDITIONAL EXPECTATION FORMULAE FOR COPULAS
Australian & New Zealand Journal of Statistics, 2008SummaryNot only are copula functions joint distribution functions in their own right, they also provide a link between multivariate distributions and their lower‐dimensional marginal distributions. Copulas have a structure that allows us to characterize all possible multivariate distributions, and therefore they have the potential to be a very useful ...
Crane, G., Van Der Hoek, J.
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Conditional Expectations and Idempotent Copulæ
2002Abstract A connection between conditional expectations and idempotent copulas is established. It is proved that there exists a one-to-one correspondence between conditional expectations and copulas that are idempotent with respect to the binary operation introduced by Darsow, Nguyen and Olsen.
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