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Subjects
60-XX Probability theory and stochastic processes
60Exx Distribution theory
60E15 Inequalities; stochastic orderings

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Invariance of relative inverse function orderings under compositions of distributions

Magdalena Frąszczak, Jarosław Bartoszewicz (2012)

Applicationes Mathematicae

Bartoszewicz and Benduch (2009) applied an idea of Lehmann and Rojo (1992) to a new setting and used the GTTT transform to define invariance properties and distances of some stochastic orders. In this paper Lehmann and Rojo's idea is applied to the class of models which is based on distributions which are compositions of distribution functions on [0,1] with underlying distributions. Some stochastic orders are invariant with respect to these models.

Isoperimetric problem for uniform enlargement

S. Bobkov (1997)

Studia Mathematica

We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.

Currently displaying 21 – 22 of 22

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