Applications of Wide Dependence Theory in Eventological Scoring

E.E. Goldenok, N.A. Lukyanova, and D.V. Semenova (Russia)

Keywords

Eventological scoring, wide-multiplicative projections and approximations of eventological distributions

Abstract

Eventological scoring (e-scoring) is generalization of classical bank scoring as allows to consider structure of dependencies of base events. E-scoring gives probabilistic vindication using formulas of linear multifactorial and logistic regress, which are true only for two kinds of dependencies of structures of base events, and, besides it allows estimating probability of an objective event for the enclosed structure. Thus, eventological scoring allows to carry out the comparative analysis with a view of diagnostics of possible credit risk. The work purpose is possibility expansion of eventological scoring by means of the theory of wide dependence of events. Wide dependence of events is a community of structures of probabilistic dependence of events which are determined by characteristic relations and delimitation, which must satisfy to probability measure. Using special tools of wide- projections and approximations of eventological distributions, it is possible to define proba bility of the occurrence of object events in the conditions of any statistics by a method of eventological scoring for any structure of dependencies of base events.

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