A Simplified Formulation of Generalized Bayes' Theorem

Une formulation simplifiée du théorème de Bayes généralisé

Jean Dezert (1) , Albena Tchamova (2) , Deqiang Han (3) , Thanuka Wickramarathne (4)

1 DTIS, ONERA, Université Paris Saclay (COmUE) [Palaiseau]
2 IICT BAS - Institute for Information and Communication Technologies
3 Xjtu - Xi'an Jiaotong University
4 University of Massachusetts - ECE Department (Massachusetts)

In this paper we present a simple formulation of the Generalized Bayes' Theorem (GBT) which extends Bayes' theorem in the framework of belief functions. We also present the condition under which this new formulation is valid. We illustrate our theoretical results with simple examples.

Mots clés: GENERALIZED BAYES' THEOREM (GBT); SIMPLIFIED GBT (SGBT); TOTAL BELIEF THEOREM (TBT); BELIEF FUNCTIONS

Mots clés: THEOREME DE BAYES; FONCTIONS DE CROYANCE; THEOREME DES CROYANCES TOTALES

Domaines: Sciences de l'ingénieur [physics]; Physique [physics]; Mathématiques [math]; Informatique [cs]

Jean Dezert, Albena Tchamova, Deqiang Han, Thanuka Wickramarathne. A Simplified Formulation of Generalized Bayes' Theorem. FUSION 2019, Jul 2019, OTTAWA, Canada. ⟨hal-02355434⟩