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An extension of the multivariate Chebyshev's inequality to a random vector with a singular covariance matrix
Authors:Katarzyna Budny
Institution:1. Department of Mathematics, Cracow University of Economics, Cracow, Polandbudnyk@uek.krakow.pl
Abstract:ABSTRACT

We extend Chebyshev's inequality to a random vector with a singular covariance matrix. Then we consider the case of a multivariate normal distribution for this generalization.
Keywords:chebyshev's inequality  Multivariate normal distribution  Random vector  Singular covariance matrix
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