Dombi József and Jónás Tamás: An elementary proof of the general Poincaré formula for λ-additive measures. In: Acta cybernetica, (24) 2. pp. 173-185. (2019)
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Abstract
In a previous paper of ours (see J. Dombi and T. J´on´as. The general Poincaré formula for λ-additive measures. Information Sciences, 490:285-291, 2019.), we presented the general formula for λ-additive measure of union of n sets and gave a proof of it. That proof is based on the fact that the λ-additive measure is representable. In this study, a novel and elementary proof of the formula for λ-additive measure of the union of n sets is presented. Here, it is also demonstrated that, using elementary techniques, the well-known Poincar´e formula of probability theory is just a limit case of our general formula.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2019 |
| Volume: | 24 |
| Number: | 2 |
| ISSN: | 0324-721X |
| Page Range: | pp. 173-185 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/64923/ |
| DOI: | 10.14232/actacyb.24.2.2019.1 |
| Uncontrolled Keywords: | Henri Poincaré, Matematika |
| Additional Information: | Bibliogr.: p. 184-185. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2020. Mar. 17. 10:37 |
| Last Modified: | 2022. Jun. 21. 08:56 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/64707 |
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