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Current fluctuations for independent random walks in multiple dimensions
Independent random walks hydrodynamic limit current Independent random walks
2010/12/6
Consider a system of particles evolving as independent and iden-tically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity ~v, the c...
On uniform statistical convergence of random variable sequences
Random variable sequence uniform convergence
2010/9/13
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
The convergence of the law of the logarithm involving negatively associated random fields
negatively associated random fields
2010/9/13
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
A note on random solution for some random operator equation
Random operator equation Random solution
2010/9/17
In this paper , some new results are also given for the random solution of a class of random operator equations which generalize several results in [4] (2004) and some notes in [5] in Banach space .Th...
In this paper we introduce a combinatorial framework which provides an interpretation of RNA pseudoknot structures as sampling paths of a Markov process. Our results give insight into the cross-serial...
Conditioned limit theorems for weighted sums of random sequence
Jamison type weighted sums stability conditionally dominated random sequence
2010/9/10
Some notions of conditionally dominated random variables are introduced and characterized, Under rather minimal assumptions on random variables {X,Xn, n ≥ 1}, some limit theorems of Jamison’s type of ...
Assessing occupational exposure via the unbalanced two-way random effects model with interaction
Generalized p-value Generalized confidence interval
2010/9/10
In this paper, a two-way random effects model with interaction is considered for the log-transformed shift-long exposure measurements. Exact tests and confidence intervals for the relevant parameters ...
On the precise asymptotics in complete moment convergence of moving average processes under NA random variables
Complete convergence Moving average Negatively associated random variable
2010/9/10
On the precise asymptotics in complete moment convergence of moving average processes under NA random variables.
Random system of lines in the Euclidean plane E_2
Geometric probability stochastic geometry random sets random convex sets integral geometry
2008/12/26
In this paper we consider a random variable arising from a
problem of geometrical intersection between a ¯xed convex body K and
a system of random lines in E2.
A Bound on the Deviation Probability for Sums of Non-Negative Random Variables
Deviation bounds Bernstein's inequality Hoeffdings inequality
2008/7/3
A simple bound is presented for the probability that the sum of nonnegative independent random variables is exceeded by its expectation by more than a positive number t. If the variables have the same...
An Inequality for the Asymmetry of Distributions and a Berry-Esseen Theorem for Random Summation
Random number of i.i.d. random variables Central limit theorem for random sums Asymmetry of distributions Berry-Esseen theorem for random sums
2008/7/2
An Inequality for the Asymmetry of Distributions and a Berry-Esseen Theorem for Random Summation.
L'Hospital Type Rules for Monotonicity: Applications to Probability Inequalities for Sums of Bounded Random Variables
L'Hospital's Rule Monotonicity Probability inequalities Sums of independent random variables Student's statistic
2008/7/1
This paper continues a series of results begun by a l'Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent ra...
Moment Inequalities of a Random Variable Defined over a Finite Interval
Random variable Finite interval Central moments Hö lder's inequality Grüss inequality
2008/6/30
Some estimations and inequalities are given for the higher order central moments of a random variable taking values on a finite interval. An application is considered for estimating the moments of a t...
On Schur-Convexity of Expectation of Weighted Sum of Random Variables with Applications
Schur-convex function Optimisation Sum of weighted random variables
2008/6/27
We show that the expectation of a class of functions of the sum of weighted identically independent distributed positive random variables is Schur-concave with respect to the weights. Furthermore, we ...
Some inequalities for the dispersion of a random variable whose PDF is defined on a finite interval
Random variable Expectation Variance Dispersion Grüss Inequality Chebychev's Inequality Lupas Inequality
2008/6/26
Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval and applications are given.