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https://elib.bsu.by/handle/123456789/289851| Title: | Sup-Sums Principles for F-Divergence and a New Definition for t-Entropy |
| Authors: | Bakhtin, V. I. Lebedev, A. V. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2022 |
| Publisher: | Springer |
| Citation: | J Theor Probab 2022;35(1):350-369. |
| Abstract: | The article presents new sup -sums principles for integral F-divergence for arbitrary convex functions F on the whole real axis and arbitrary (not necessarily positive and normalized) measures. Among applications of these results, we work out a new ‘integral’ definition for t-entropy explicitly establishing its relation to Kullback–Leibler divergence. |
| URI: | https://elib.bsu.by/handle/123456789/289851 |
| DOI: | 10.1007/s10959-020-01046-5 |
| Scopus: | 85095567491 |
| Licence: | info:eu-repo/semantics/openAccess |
| Appears in Collections: | Кафедра функционального анализа и аналитической экономики (статьи) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s10959-020-01046-5.pdf | 365,32 kB | Adobe PDF | View/Open |
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