An elementary proof of the general Poincaré formula for λ-additive measures

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-add...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Dombi József
Jónás Tamás
Dokumentumtípus: Cikk
Megjelent: 2019
Sorozat:Acta cybernetica 24 No. 2
Kulcsszavak:Henri Poincaré, Matematika
Tárgyszavak:
doi:10.14232/actacyb.24.2.2019.1

Online Access:http://acta.bibl.u-szeged.hu/64707
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:173-185
ISSN:0324-721X