The report, that has been presented on the Third International Conference on Mathematical Modelling of Social and Economical Dynamics MMSED-2010, is devoted to applications of the modern achievements of probability theory to economics. The "four-fold-pattern" paradox is used as an example of...

Arrangements (agreements, contracts, projects, etc.) are widespread economic events and are the fundamental concept of the economic theory. Infringements (breaches, modifications, changes, etc.) of arrangements are common and have a significant importance for the economic theory. For many years...

The report, that has been presented on the IX International Conference on Financial and Actuarial Mathematics, is devoted to the probability theory and economics. The theorems of existence of the ruptures near the borders of finite intervals and of the probability scale have been proved. The...

Arrangements (agreements, contracts, projects, etc.) are widespread economic events and are the fundamental concept of the economic theory. Infringements (breaches, modifications, changes, etc.) of arrangements are common and have a significant importance for the economic theory. For many years...

The definition of an arrangement infringement has been given. Several characteristics of hurricanes as large-scale events and the objectives for the first stages of an insurance data analysis have been sketched out. Scale hypotheses, insurance and investment problems have been formulated. The...