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Multivariate Chebyshev inequality in generalized measure space based on Choquet integral

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ABSTRACT The multivariate Chebyshev inequality for a random vector on probability measure space has been studied by numerous authors. One thing that seems missing is the multivariate version of Chebyshev… Click to show full abstract

ABSTRACT The multivariate Chebyshev inequality for a random vector on probability measure space has been studied by numerous authors. One thing that seems missing is the multivariate version of Chebyshev inequality in non additive cases. In this article, we show that this inequality still works in generalized probability theory based on Choquet integral.

Keywords: based choquet; multivariate chebyshev; measure space; chebyshev inequality; choquet integral; inequality

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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