Results 21 to 30 of about 1,049 (74)
Some estimations on continuous random variables for (k, s) −fractional integral operators
Moroccan Journal of Pure and Applied Analysis, 2020 In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
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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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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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Moment inequalities connected with accompanying Poisson laws in Abelian groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 44, Page 2771-2786, 2003., 2003 We obtain exact inequalities which connect moments of some functions of sums of independent random variables taking values in a measurable Abelian group and those for the accompanying infinitely divisible laws. Some applications to empirical processes are studied.
I. S. Borisov
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Are law-invariant risk functions concave on distributions?
Dependence Modeling, 2013 While it is reasonable to assume that convex combinations on the level of random variables lead to a reduction of risk (diversification effect), this is no more true on the level of distributions.
Acciaio Beatrice, Svindland Gregor
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Dependence uncertainty bounds for the energy score and the multivariate Gini mean difference
Dependence Modeling, 2020 The energy distance and energy scores became important tools in multivariate statistics and multivariate probabilistic forecasting in recent years. They are both based on the expected distance of two independent samples. In this paper we study dependence
Bernard Carole, Müller Alfred
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Complete convergence for negatively dependent random variables
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 121-126, 2003., 2003 In this paper, we study the complete convergence for the means 1n∑i=1nXi and 1nα∑k=1nXnk via. exponential bounds, where α > 0 and {Xn, n ≥ 1} is a sequence of negatively dependent random variables and {Xnk, 1 ≤ k ≤ n, n ≥ 1} is an array of rowwise pairwise negatively dependent random variables.
M. Amini D., A. Bozorgnia
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New continuity estimates of geometric sums
International Journal of Stochastic Analysis, Volume 15, Issue 3, Page 219-233, 2002., 2002 The paper deals with sums of a random number of independent and identically distributed random variables. More specifically, we compare two such sums, which differ from each other in the distributions of their summands. New upper bounds (inequalities) for the uniform distance between distributions of sums are established.
Evgueni Gordienko, Juan Ruiz de Chávez
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International Journal of Stochastic Analysis, Volume 13, Issue 3, Page 261-267, 2000., 2000 Let X1, …, Xn be negatively dependent uniformly bounded random variables with d.f. F(x). In this paper we obtain bounds for the probabilities P(|∑i=1nXi|≥nt) and P(|ξˆpn−ξp|>ϵ) where ξˆpn is the sample pth quantile and ξp is the pth quantile of F(x). Moreover, we show that ξˆpn is a strongly consistent estimator of ξp under mild restrictions on F(x) in
M. Amini, A. Bozorgnia
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Stochastic comparisons and bounds for conditional distributions by using copula properties
Dependence Modeling, 2018 We prove that different conditional distributions can be represented as distorted distributions. These representations are used to obtain stochastic comparisons and bounds for them based on properties of the underlying copula.
Navarro Jorge, Sordo Miguel A.
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