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Mathematical expectation of probabilistic metric spaces and Banach fixed point theorem
Probabilistic metric space Mathematical expectation
2010/9/14
The purpose of this article is to study the mathematical expectation of probabilistic metric space and by using the method of mathematical expectation to study the fixed point theorem of Banach in the...
Almost sure convergence and in quadratic mean of the gradient stochastic process for the sequential estimation of a conditional expectation
Stochastic approximation Conditional expectation
2010/9/10
In this work, we present results of Almost Sure Convergence and in Quadratic Mean of the gradient stochastic process for the sequential estimation of a conditional expectation.
This work is motived b...
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 expectation and variance of a random variable whose PDF is $n$-time differentiable
Random Variable Expectation Variance Dispersion
2008/6/26
Some inequalities for the expectation and variance of a random variable whose p.d.f. is n-time differentiable are given.