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Moments And Tails Inequalities of Uncertain Variables

Zhigang Wang, Yiping Fu, Fanji Tian

Abstract


The emphasis in this paper is mainly on some important moments and tails inequalities of uncertain variables within the framework of uncertainty theory. Some uncertain moments and tails inequalities which are consistent with random moments and tails inequalities, for example, r-order inequality, Kolmogorov’s inequality and other important inequalities are presented. The investigations help lay theoretical foundations for the development of uncertainty theory.

Keywords


Uncertain variable; Moment and tail inequality; r-order inequality; Kolmogorov’s inequality.

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