The aim of the paper is the axiomatic justification of the theory of experience and chance, one of the dual halves of which is the Kolmogorov probability theory. The author’s main idea was the natural inclusion of Kolmogorov’s axiomatics of probability theory in a number of general concepts...

Here an improved generalization of Feynman’s paradox of negative probabilities [1, 2] for observing three events is considered. This version of the paradox is directly related to the theory of quantum computing. Imagine a triangular room with three windows, where there are three chairs, on...

A fixed company of players observes a person selected from a fixed queue. After each observation, players are asked to bet the dollar secret from others, either on the fact that person is bald or on what is not. A definite formula for the gain is suggested, such that every time after bets the...

This book is about the construction of reality. The central aim of this study is to understand how gravity works and how it may be focused and manipulated. While I do not have an answer to this question, the discoveries along the way have been worth collecting into a single volume for future...

This work is the third, but not the last, in the cycle begun by the works [23, 22] about the new theory of experience and chance as the theory of co~events. Here I introduce the concepts of two co~event means, which serve as dual co~event characteristics of some co~event. The very idea of dual...

The pairwise independence of events does not entail their setwise independence (Bernstein’s example, 1910-1917). The probability distributions of all pairs of events do not determine the probability distribution of the whole set of events (the triangular room paradox of negative probabilities...

This paper presents interesting correlations which exist between a model of long-wave economic activity and crisis in the United States – “the Political Economy wave” – and the structure of the rings of Saturn, one of the most confounding structures known to science. At the present time...

This paper presents interesting correlations which exist between a model of long-wave economic activity and crisis in the United States – “the Political Economy wave” – and the structure of the rings of Saturn, one of the most confounding structures known to science. At the present time...

The article presents an analysis and survey regarding the validity of VaR risk measures in comparison to traditional risk measures. Individuals are assumed to either maximize their expected utility or possess a lexicographic utility function. The analysis is carried out for generally distributed...

The paper develops analytical tools used to calculate the VaR of a portfolio composed of generally distributed assets. Accordingly, the VaR of a portfolio is analytically constructed from the conditional returns of the individual assets. This analytical VaR can then be used to construct optimal...