# An Elementary Proof of the General Poincaré Formula for λ-additive Measures

• József Dombi Department of Computer Algorithms and Artificial Intelligence, University of Szeged
• Tamás Jónás Institute of Business Economics, Eötvös Loránd University

### Abstract

In a previous paper of ours [4], we presented the general formula for lambda-additive measure of union of n sets and gave a proof of it. That proof is based on the fact that the lambda-additive measure is representable. In this study, a novel and elementary proof of the formula for lambda-additive measure of the union of n sets is presented. Here, it is also demonstrated that, using elementary techniques, the well-known Poincare formula of probability theory is just a limit case of our general formula.

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Published
2019-11-03
How to Cite
Dombi, J., & Jónás, T. (2019). An Elementary Proof of the General Poincaré Formula for λ-additive Measures. Acta Cybernetica, 24(2), 173-185. https://doi.org/10.14232/actacyb.24.2.2019.1
Section
Regular articles