Results 11 to 20 of about 121 (117)

Complete consistency for the estimator of nonparametric regression model based on m-END errors

open access: yesOpen Mathematics, 2021
In this paper, we study the complete consistency for the estimator of nonparametric regression model based on m-END errors and obtain the convergence rates of the complete consistency under more general conditions.
Zhang Shui-Li, Hou Tiantian, Qu Cong
doaj   +1 more source

Three candidate plurality is stablest for small correlations

open access: yesForum of Mathematics, Sigma, 2021
Using the calculus of variations, we prove the following structure theorem for noise-stable partitions: a partition of n-dimensional Euclidean space into m disjoint sets of fixed Gaussian volumes that maximise their noise stability must be $(m-1 ...
Steven Heilman, Alex Tarter
doaj   +1 more source

Relations between ageing and dependence for exchangeable lifetimes with an extension for the IFRA/DFRA property

open access: yesDependence Modeling, 2020
We first review an approach that had been developed in the past years to introduce concepts of “bivariate ageing” for exchangeable lifetimes and to analyze mutual relations among stochastic dependence, univariate ageing, and bivariate ageing.
Nappo Giovanna, Spizzichino Fabio
doaj   +1 more source

Sklar’s theorem, copula products, and ordering results in factor models

open access: yesDependence Modeling, 2021
We consider a completely specified factor model for a risk vector X = (X1, . . ., Xd), where the joint distributions of the components of X with a risk factor Z and the conditional distributions of X given Z are specified.
Ansari Jonathan, Rüschendorf Ludger
doaj   +1 more source

Three classes of decomposable distributions

open access: yesOpen Mathematics, 2020
In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem   +2 more
doaj   +1 more source

Exponential inequalities for nonstationary Markov chains

open access: yesDependence Modeling, 2019
Exponential inequalities are main tools in machine learning theory. To prove exponential inequalities for non i.i.d random variables allows to extend many learning techniques to these variables.
Alquier Pierre   +2 more
doaj   +1 more source

Some estimations on continuous random variables for (k, s) −fractional integral operators

open access: yesMoroccan 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
doaj   +1 more source

Stochastic orders of log-epsilon-skew-normal distributions

open access: yesAnalele 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
doaj   +1 more source

Stochastic orders for a multivariate Pareto distribution

open access: yesAnalele 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
doaj   +1 more source

Moment inequalities connected with accompanying Poisson laws in Abelian groups

open access: yesInternational 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
wiley   +1 more source

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