Results 21 to 30 of about 477 (55)

Stochastic ordering of discrete multivariate distributions. Algorithm in C++ with applications in the comparison of number of claims and extremes order statistics

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article we present a stochastic ordering verification algorithm between multivariate discrete distributions implemented in the C++ programming language.
Catana Luigi-Ionut
doaj   +1 more source

There are no monotone homomorphisms out of the convolution semigroup [PDF]

open access: yes, 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
core   +1 more source

Difference prophet inequalities for [0,1]-valued i.i.d. random variables with cost for observations

open access: yes, 2005
Let X_1,X_2,... be a sequence of [0,1]-valued i.i.d. random variables, let c\geq 0 be a sampling cost for each observation and let Y_i=X_i-ic, i=1,2,....
Kosters, Holger
core   +1 more source

The Hoffmann-Jorgensen inequality in metric semigroups

open access: yes, 2017
We prove a refinement of the inequality by Hoffmann-Jorgensen that is significant for three reasons. First, our result improves on the state-of-the-art even for real-valued random variables. Second, the result unifies several versions in the Banach space
Khare, Apoorva, Rajaratnam, Bala
core   +1 more source

Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem: a shortened version

open access: yes, 2015
Let $X,X_1,\ldots,X_n$ be independent identically distributed random variables. In this paper we study the behavior of concentration functions of weighted sums $\sum_{k=1}^{n} X_k a_k$ with respect to the arithmetic structure of coefficients~$a_k$ in the
Eliseeva, Yulia S.   +2 more
core   +1 more source

Exact upper and lower bounds on the difference between the arithmetic and geometric means

open access: yes, 2015
Let $X$ denote a nonnegative random variable with $\mathsf{E ...
Pinelis, Iosif
core   +1 more source

Optimal Concentration of Information Content For Log-Concave Densities

open access: yes, 2015
An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean.
A. Prékopa   +18 more
core   +1 more source

Estimates for the closeness of convolutions of probability distributions on convex polyhedra

open access: yes, 2018
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of ...
Götze, Friedrich, Zaitsev, Andrei Yu.
core  

A Parrondo Paradox in Reliability Theory

open access: yes, 2007
Parrondo's paradox arises in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. We present a suitable version of Parrondo's
Di Crescenzo, Antonio
core  

Some Counterexamples in Positive Dependence. [PDF]

open access: yes
We provide some counterexamples showing that some concepts of positive dependence are strictly stronger than others. In particular we will settle two questions posed by Pemantle (2000) and Pellerey (2002) concerning respectively association versus weak ...
Alfred Müller   +2 more
core  

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