TY - JOUR AU - József Dombi AU - Tamás Jónás PY - 2019/11/03 Y2 - 2024/03/29 TI - An Elementary Proof of the General Poincaré Formula for λ-additive Measures JF - Acta Cybernetica JA - Acta Cybern VL - 24 IS - 2 SE - Regular articles DO - 10.14232/actacyb.24.2.2019.1 UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4075 AB - 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. ER -