Article ID Journal Published Year Pages File Type
1152515 Statistics & Probability Letters 2011 9 Pages PDF
Abstract

Some Kolmogorov probability inequalities for quadratic forms and weighted quadratic forms of negative superadditive dependent (NSD) uniformly bounded random variables are provided. Using these inequalities, some complete convergence of randomized quadratic forms under some suitable conditions are evaluated. Moreover, various examples are presented in which the given conditions of our results are satisfied.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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