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A Chernoff-type Lower Bound for the Gaussian Q-function
Chernoff-type Lower Bound the Gaussian Q-function Probability
2012/3/1
A lower bound for the Gaussian Q-function is presented in the form of a single exponential function with parametric order and weight. The bound combines the simplicity of the classical Chernoff bound ...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
A Berry-Esseen Bound for Empty Boxes Statistic on the Scheme an Allocations of Several Type Balls
Central limit theorem empty cells random allocations
2010/3/4
A Berry-Esseen bound for the number of empty cells in the scheme of independent and random allocation of balls of s type into different cells is obtained.