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Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
hierarchical models iteration of polynomial maps oscillatory critical amplitudes Harris random variable geometry of Julia set
2012/6/27
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
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.