TY - JOUR
AU - József Dombi
AU - Tamás Jónás
PY - 2019/11/03
Y2 - 2019/12/16
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 - http://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 -