Showing 1 - 10 of 53
Old problems of the mathematical description of the economical behavior of a man are briefly reviewed. They are the comparison of choices of a man between uncertain and sure games and the radically different behavior of a man in different domains. The proposed solution of the problems consists...
Persistent link: https://www.econbiz.de/10015213893
A general forecasting correcting formula, as a framework for long-use and standardized forecasts, is created. The formula provides new forecasting resources and new possibilities for expansion of forecasting including economic forecasting into the areas of municipal needs, middle-size and...
Persistent link: https://www.econbiz.de/10015217054
The article raises the question of possible existence of ruptures, gaps in the probability scale which are caused by noises, uncertainties. A hypothesis of existence of such ruptures may be used to solve a number of problems of, e.g., utility theory in economics. The calculations give the...
Persistent link: https://www.econbiz.de/10015219621
The principle of uncertain future: the probability of a future event contains a degree of (hidden) uncertainty. As a result, this uncertainty (in a sense, similar to vibrations, fluctuations) pushes the probability value back from the bounds to the middle of its range (from ~100% and ~0% to the...
Persistent link: https://www.econbiz.de/10015219779
The two main goals of the present article are: 1) To prove an existence theorem for forbidden zones for the expectations of real-valued random variables. 2) To define transformations (named here as auto-transformations) of the probability density functions (PDFs) of random variables into similar...
Persistent link: https://www.econbiz.de/10015224964
Suppose a random variable takes on values in an interval. The minimal distance between the expectation of the variable and the nearest boundary of the interval is considered in the present article. A question whether this distance can be neglected with respect to the standard deviation is...
Persistent link: https://www.econbiz.de/10015256777
Distributions of random variables defined on finite intervals were considered in connection with some problems of behavioral economics. To develop the results obtained for finite intervals, auto-image distributions of random variables defined on infinite or semi-infinite intervals are proposed...
Persistent link: https://www.econbiz.de/10015258462
A forbidden zones theorem is deduced in the present article. Its consequences and applications are preliminary considered. The following statement is proven: if some non-zero lower bound exists for the variance of a random variable, that takes on values in a finite interval, then non-zero bounds...
Persistent link: https://www.econbiz.de/10015259133
A forbidden zones theorem is proven in the present article. If some non-zero lower bound exists for the variance of a random variable, whose support is located in a finite interval, then non-zero bounds or forbidden zones exist for its expectation near the boundaries of the interval. The article...
Persistent link: https://www.econbiz.de/10015259833
A systematic introduction to sub-interval images (or SI-images or S-IIs) is presented here. General outlook of possible use of the SI-analysis for Big Data is given. Basic notions of S-IIs are formulated including cuboids of gravity and sub-interval copies of databases. Two concepts of...
Persistent link: https://www.econbiz.de/10015260229