User:Helgus/ Theory of random events (Crisp mathematical eventology)

Theory of random events (crisp mathematical eventology) is a mathematical language of eventology – a new direction the probability theory; is based on the principle of eventological duality of notion of a set of random events and a random set of events; studying eventological distributions of a set of random events and eventological structures of its dependencies.

The basic eventological terms

 * Event, probability and value
 * Conditional event, conditional probability and conditional value
 * Set of events and random set of events
 * Event-terrace
 * Eventological duality
 * Eventological distribution
 * Eventological language
 * Eventological glossary
 * Additive set-functions and measures
 * Set-formulae of Mobius inversing events-terraces
 * Formulae of Mobius inversing eventological distributions
 * Set-means characteristics of a random set of events
 * Eventological Bayes's theorem
 * Frechet's covariances and correlations
 * The structure of dependencies of a set of events
 * Eventological copula