Xia Wang
Abstract
In this paper,we extend classical Chebyshev inequality by the techniques of enlarging integrated function in view of integrated range and then enlarging integrated range,and obtain other forms of upper bound of probability.Finally,we give several related applications of extended Chebyshev inequality.
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In this paper,we extend classical Chebyshev inequality by the techniques of enlarging integrated function in view of integrated range and then enlarging integrated range,and obtain other forms of upper bound of probability.Finally,we give several related applications of extended Chebyshev inequality.
Key concepts: Multidimensional Chebyshev's inequality, Chebyshev's inequality, Extension (predicate logic), Chebyshev filter, Markov's inequality, Inequality, Range (aeronautics), Mathematics