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In probability theory, the multidimensional Chebyshev's inequality is a generalization of Chebyshev's inequality, which puts a bound on the probability of the event that a random variable differs from its expected value by more than a specified amount. Let be an -dimensional random vector with expected value and covariance matrix If is a positive-definite matrix, for any real number :

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  • Die Mehrdimensionale Tschebyscheffsche Ungleichung ist eine Ungleichung aus dem Bereich der Stochastik. Sie ist eine Verallgemeinerung der Tschebyscheff-Ungleichung und nach dem Mathematiker Pafnuti Lwowitsch Tschebyschow benannt. (de)
  • In probability theory, the multidimensional Chebyshev's inequality is a generalization of Chebyshev's inequality, which puts a bound on the probability of the event that a random variable differs from its expected value by more than a specified amount. Let be an -dimensional random vector with expected value and covariance matrix If is a positive-definite matrix, for any real number : (en)
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  • Die Mehrdimensionale Tschebyscheffsche Ungleichung ist eine Ungleichung aus dem Bereich der Stochastik. Sie ist eine Verallgemeinerung der Tschebyscheff-Ungleichung und nach dem Mathematiker Pafnuti Lwowitsch Tschebyschow benannt. (de)
  • In probability theory, the multidimensional Chebyshev's inequality is a generalization of Chebyshev's inequality, which puts a bound on the probability of the event that a random variable differs from its expected value by more than a specified amount. Let be an -dimensional random vector with expected value and covariance matrix If is a positive-definite matrix, for any real number : (en)
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  • Mehrdimensionale Tschebyscheffsche Ungleichung (de)
  • Multidimensional Chebyshev's inequality (en)
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