Search
Now showing items 1-10 of 48
Some maximal inequalities for random variables and applications
#NAME?
Negatively dependent bounded random Variable probability inequalities and the S.L.L.N
Let Xl,...,Xn be negatively dependent uniformly bounded random
variables with d.f. F(x). In this paperwe obtain bounds for the^ probabilities
P(I Y=IXil >_nt) and P(l(pn-pl >e) where pn is the
sample ...
The almost sure convergence of weighted sums of ND r.v.s
In this paper we study the SLLN of weighted sums for ND random variables.
Some probability inequalities
In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables. In particular the law of iterated logarithm for quadratic forms ...
Estimates for tail probabilities of bilinear forms in negatively dependent subgaussian random variables
In this paper, we extend some exponential bounds for tail probabilities of bilinear forms for negatively dependent subgaussian random variables. Then by using these inequalities we obtain the law of the iterated logarithm ...
Some moment inequalities for fuzzy martingales and their applications
Martingales are a class of stochastic processes which has had profound influence on the development
of probability theory and stochastic processes.
Some recent developments are related to mathematical ...
On Complete Convergence of Moving Average Processes for NSD Sequences
We study the complete convergence of moving-average processes based on an identically
distributed doubly infinite sequence of negatively superadditive-dependent random variables.
As a corollary, the ...
Complete Convergence forWeighted Sums ofWeakly Negative Dependent of Random Variables
Some basic theoretical properties and complete convergence theorems for weighted sums of
weakly negative dependent are provided and applied to random weighting estimate. Moreover, various
examples are presented
On stochastic dominance and the strong law of large numbers for dependent random variables
We study sequences of dependent random variables which in a sense are dominated
by a sequence of independent random variables. The introduced concept unifies the notion
of widely upper (lower) orthant dependent ...