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In this paper, the portmanteau theorem which provides the equivalent conditions of the weak convergence of a sequence of probability measures is extended on the sequence of distorted probabilities.
A natural generalization of (classical) measures are monotone set valued functions, the so called non-additive measures. Further generalization of measures are interval-valued measures and… (More)
One extension of Hölder inequality in the frame of pseudo-analysis is given. The extension of Hölder inequality is presented for the case of g-semirings and some illustrative examples are given.
The natural generalization of classical polynomials are the pseudo-polynomials and the pseudo-polynomials with interval coefficients too. The main topic of this paper is the g-integration of special… (More)