Results 1 to 10 of about 477 (55)
ROC AND THE BOUNDS ON TAIL PROBABILITIES VIA THEOREMS OF DUBINS AND F. RIESZ. [PDF]
Ann Appl Probab, 2009 For independent $X$ and $Y$ in the inequality $P(X\leq Y+\mu)$, we give sharp lower bounds for unimodal distributions having finite variance, and sharp upper bounds assuming symmetric densities bounded by a finite constant.
Clarkson E, Denny JL, Shepp L.
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Stochastic orders of log-epsilon-skew-normal distributions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research.
Catana Luigi-Ionut
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Veterinary Dermatology, Volume 34, Issue 6, Page 543-553, December 2023., 2023 Background – Hymenoptera envenomation with honey bee (Apis mellifera) and paper wasp (Polistes spp.) may cause life‐threatening anaphylaxis in dogs. In human patients, clinical history, intradermal testing (IDT) and measurement of allergen‐specific serological immunoglobulin (Ig)E (sIgE) are used to support a diagnosis of Hymenoptera venom ...
Hilary H. Chan +3 more
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Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
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Stochastic orders for a multivariate Pareto distribution
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this article we give some theoretical results for equivalence between different stochastic orders of some kind multivariate Pareto distribution family.
Catana Luigi-Ionut
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From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
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A combinatorial proof of the Gaussian product inequality beyond the MTP2 case
Dependence Modeling, 2022 A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector X=(X1,…,Xd){\boldsymbol{X}}=\left({X}_{1},\ldots ,{X}_{d}) of arbitrary length can be written as a ...
Genest Christian, Ouimet Frédéric
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A note on stochastic dominance, uniform integrability and lattice properties
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 907-923, October 2020., 2020 Abstract In this work, we discuss completeness for the lattice orders of first and second order stochastic dominance. The main results state that both first‐ and second‐order stochastic dominance induce Dedekind super complete lattices, that is, lattices in which every bounded nonempty subset has a countable subset with identical least upper bound and ...
Max Nendel
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A Stochastic Gronwall Lemma [PDF]
, 2013 We prove a stochastic Gronwall lemma of the following type: if $Z$ is an adapted nonnegative continuous process which satisfies a linear integral inequality with an added continuous local martingale $M$ and a process $H$ on the right hand side, then for ...
Scheutzow, Michael
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Sectorial convergence of U-statistics [PDF]
, 2005 In this note we show that almost sure convergence to zero of symmetrized U-statistics indexed by a linear sector in Z^d_+ is equivalent to convergence along the diagonal of Z^d_+, as it is considered in Lata\la and Zinn [Ann. Probab. 28 (2000) 1908-1924].
Gadidov, Anda
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