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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...
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...
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.
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.