Pp. 499-508 (10)
Antonio Boccuto and Xenofon Dimitriou
We present an abstract approach on probability measures, events and random
variables, involving in particular lattice theory, distance functions, σ-additive
extensions of finitely additive functions, some kinds of convergences in the lattice
setting, which can be considered even in more abstract contexts. Furthermore we pose
some open problems.
Almost uniform convergence, attribute, Boolean algebra, Boolean σ-
algebra, concept, distance function, duality principle, experiment, finitely additive
function, lattice, normalized distance, object, order convergence, probability,
random variable, regular lattice, subsemilattice, supersemilattice, σ-additive
function, σ-regular lattice.
Dipartimento di Matematica e Informatica via Vanvitelli, 1 I-06123 Perugia Italy.