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On Tcebycheff's type inequalities

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Trabajos de Estadistica y de Investigacion Operativa

Abstract

Three inequalities of Tchbycheff type are presented. Two of them give lower bounds for the probability of intervals not necessarily symmetric around the mean. The third one generalizes the extension of Tchebycheff's inequalities given by Miyamoto (1978). They are based on the inequality of Markov. Attainability of lower bounds is also discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, Greece

    K. Ferentios

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  1. K. Ferentios
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Ferentios, K. On Tcebycheff's type inequalities. Trabajos de Estadistica y de Investigacion Operativa 33, 125–132 (1982). https://doi.org/10.1007/BF02888707

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