Inequalities of the Chebyshev type based on pseudo-integrals
2016
This paper presents the Chebyshev type of pseudo-integral inequalities, with the particular emphasis on the g-semirings. With the suitable choice of the generator g, the pseudo-expectation and pseudo-moments exist for the Cauchy distribution (in general case the standard expectation and moments for the Cauchy distribution are not defined). The computation of the pseudo-expectation for the Cauchy distribution and some examples that illustrate the applicability of the introduced generalization are also given in the paper.
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