Authors: | Simić, Slavko | Title: | Second and third order moment inequalities for probability distributions | Journal: | Acta Mathematica Hungarica | Volume: | 155 | Issue: | 2 | First page: | 518 | Last page: | 532 | Issue Date: | 1-Aug-2018 | Rank: | M22 | ISSN: | 0236-5294 | DOI: | 10.1007/s10474-018-0848-1 | Abstract: | We give refinements of some convex and log-convex moment inequalities. We derive second and third order inequalities using a special kind of algebraic positive semi-definite forms. An open problem concerning an eight parameter refinement of the third order is also stated. We suggest some applications of our results in information theory concerning relative divergence of type s and in theory of means. |
Keywords: | Jensen’s inequality | moment inequality | positive semi-definite form | relative divergence | Publisher: | Springer Link |
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