TY - CONF

T1 - From imprecise probability assessments to conditional probabilities with quasi additive classes of conditioning events

AU - Sanfilippo, Giuseppe

PY - 2012

Y1 - 2012

N2 - In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) interval-valued probability assessment on a finite family of conditional events, we construct conditional probabilities with quasi additive classes of conditioning events which are consistent with the given initial assessment. Quasi additivity assures coherence for the obtained conditional probabilities. In order to reach our goal we define a finite sequence of conditional probabilities by exploiting some theoretical results on g-coherence. In particular, we use solutions of a finite sequence oflinear systems.

AB - In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) interval-valued probability assessment on a finite family of conditional events, we construct conditional probabilities with quasi additive classes of conditioning events which are consistent with the given initial assessment. Quasi additivity assures coherence for the obtained conditional probabilities. In order to reach our goal we define a finite sequence of conditional probabilities by exploiting some theoretical results on g-coherence. In particular, we use solutions of a finite sequence oflinear systems.

KW - G-coherence

KW - conditional events

KW - conditional probability

KW - interval-valued probability assessment

KW - quasi additivity

KW - G-coherence

KW - conditional events

KW - conditional probability

KW - interval-valued probability assessment

KW - quasi additivity

UR - http://hdl.handle.net/10447/66128

UR - http://www.auai.org/uai2012/papers/173.pdf

M3 - Other

SP - 736

EP - 745

ER -