Displaying similar documents to “Contribution of František Matúš to the research on conditional independence”

On d-finite tuples in random variable structures

Shichang Song (2013)

Fundamenta Mathematicae

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We prove that the d-finite tuples in models of ARV are precisely the discrete random variables. Then, we apply d-finite tuples to the work by Keisler, Hoover, Fajardo, and Sun concerning saturated probability spaces. In particular, we strengthen a result in Keisler and Sun's recent paper.

Negative dependence structures through stochastic ordering.

Abdul-Hadi N. Ahmed (1990)

Trabajos de Estadística

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Several new multivariate negative dependence concepts such as negative upper orthant dependent in sequence, negatively associated in sequence, right tail negatively decreasing in sequence and upper (lower) negatively decreasing in sequence through stochastic ordering are introduced. These concepts conform with the basic idea that if a set of random variables is split into two sets, then one is increasing whenever the other is decreasing. Our concepts are easily verifiable and enjoy many...

Conditional differential equations

Celina Rom (2016)

Applicationes Mathematicae

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We introduce and study conditional differential equations, a kind of random differential equations. We give necessary and sufficient conditions for the existence of a solution of such an equation. We apply our main result to a Malthus type model.

About “Correlations” (1937).

de Finetti, Bruno (2008)

Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]

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Spin Glasses: A New Direction for Probability Theory?

Michel Talagrand (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Physicists have proposed a wealth of new ideas concerning the collective behavior of large families of random variables, in which they have discovered the emergence of new types of order. The quest for mathematically rigorous proofs of their conjectures is likely to challenge and stimulate probabilists for years to come.