Results 31 to 40 of about 1,049 (74)
Bounds for distribution functions of sums of squares and radial errors
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 561-569, 1991., 1991 Bounds are found for the distribution function of the sum of squares X2 + Y2 where X and Y are arbitrary continuous random variables. The techniques employed, which utilize copulas and their properties, show that the bounds are pointwise best‐possible when X and Y are symmetric about 0 and yield expressions which can be evaluated explicitly when X and ...
Roger B. Nelsen, Berthold Schweizer
wiley +1 more source
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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Inequalities for Walsh like random variables
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 353-356, 1990., 1990 Let be a sequence of mean zero independent random variables. Let , and let [Yk] be the linear span of Yk. Assume δ ≤ |Xn| ≤ K for some δ > 0 and K > 0 and let for 1 < p < ∞. We show that for f ∈ [Ym] the following inequalities hold: and ‖f‖2 ≤ C(4,m)2‖f‖1 ≤ C(4,m)2‖f‖2. These generalize various well known inequalities on Walsh functions.
D. Hajela
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A conditional Entropy Power Inequality for dependent variables
, 2001 We provide a condition under which a version of Shannon's Entropy Power Inequality will hold for dependent variables.
Johnson, Oliver
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Extremal Lipschitz functions in the deviation inequalities from the mean
, 2013 We obtain an optimal deviation from the mean upper bound \begin{equation} D(x)\=\sup_{f\in \F}\mu\{f-\E_{\mu} f\geq x\},\qquad\ \text{for}\ x\in\R\label{abstr} \end{equation} where $\F$ is the class of the integrable, Lipschitz functions on probability ...
Dzindzalieta, Dainius
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Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
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Generalized Hoeffding-Fréchet functionals and mass transportation
Dependence ModelingThis note is concerned with some historical remarks on and a partial review of two interesting mathematical subjects, the generalized Hoeffding-Fréchet functionals and the Monge-Kantorovich mass transportation problem.
Rüschendorf Ludger
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On the asymptotic covariance of the multivariate empirical copula process
Dependence Modeling, 2019 Genest and Segers (2010) gave conditions under which the empirical copula process associated with a random sample from a bivariate continuous distribution has a smaller asymptotic covariance than the standard empirical process based on a random sample ...
Genest Christian +2 more
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Convergence of the Poincare Constant
, 2002 The Poincare constant R(Y) of a random variable Y relates the L2 norm of a function g and its derivative g'. Since R(Y) - Var(Y) is positive, with equality if and only if Y is normal, it can be seen as a distance from the normal distribution.
Chen L. H. Y., O. Johnson, Utev S. A.
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There are no monotone homomorphisms out of the convolution semigroup [PDF]
, 2019 We prove that there is no nonzero way of assigning real numbers to probability measures on R in a way which is monotone under first-order stochastic dominance and additive under ...
Fritz, Tobias, Tamuz, Omer
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