Displaying similar documents to “Relationship between stochastic inequalities and some classical mathematical inequalities.”

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...

About “Correlations” (1937).

de Finetti, Bruno (2008)

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

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Stochastic comparison of multivariate random sums

Rafał Kulik (2003)

Applicationes Mathematicae

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We establish preservation results for the stochastic comparison of multivariate random sums of stationary, not necessarily independent, sequences of nonnegative random variables. We consider convex-type orderings, i.e. convex, coordinatewise convex, upper orthant convex and directionally convex orderings. Our theorems generalize the well-known results for the stochastic ordering of random sums of independent random variables.