Probability Theory, Random Processes and Mathematical Statistics

Author(s):  
Yu. A. Rozanov
Author(s):  
A. O. Pashko

uriy Kozachenko is an outstanding Ukrainian mathematician, my teacher. We have known each other and worked fruitfully for more than 40 years. Professor Kozachenko Yu.V. was one of the leaders of the Ukrainian school of probability theory and mathematical statistics, a world-renowned expert in the theory of modelling random processes in functional spaces, one of the creators of the theory of sub-Gaussian random processes and processes from Orlich spaces. He created a new scientific direction - simulation of random processes in different functional spaces with a given accuracy and reliability. Kozachenko Yu.V. received significant scientific results in the study of analytical properties of random processes, equations of mathematical physics with random initial conditions, statistics of random processes, wavelet analysis. This publication is about the brightest pages of our cooperation.


1984 ◽  
Vol 16 (1) ◽  
pp. 19-19
Author(s):  
V. Klemeš

Most of what is routinely labeled ‘stochastic hydrology’ does not contain any hydrology at all and could be more properly identified as the fitting of stochastic models to samples of data of hydrologic origin. T0 engage in this enterprise, no hydrologic knowledge is necessary, nor do the results contribute to hydrologic knowledge. Moreover, the bulk of the current stochastic hydrology does not appreciably enhance the quality of water management decisions-an aim which provided the original impetus for its development. It seems that the mainstream of stochastic hydrology follows in the steps of ‘dam theory’, the only difference being that while the latter has become a self-contained branch of pure probability theory, the former is on the way to becoming a branch of pure mathematical statistics.


2015 ◽  
Vol 788 ◽  
pp. 318-324
Author(s):  
Egor A. Zverev ◽  
Pavel Tregubchak ◽  
Nikita Vakhrushev ◽  
Stanislav Ptitsyn

The problems of theoretical grounds of machine tools specifications based on mathematic operational simulation are discussed in the paper. The proposed approach is based on the probability theory and mathematical statistics apparatus. It is universal and makes it possible to use automated design engineering systems at an initial development phase of the general concept of new equipment.


Sign in / Sign up

Export Citation Format

Share Document