Fundamentals of the Mathematical Statistics of Probability Theory

2017 ◽  
pp. 61-72
Author(s):  
Igor I. Gorban
Keyword(s):  
Probability Theory ◽  
Mathematical Statistics

Stochastic hydrology-how much hydrology does it contain and how much does it matter?

1984 ◽  
Vol 16 (1) ◽  
pp. 19-19
Author(s):  
V. Klemeš
Keyword(s):  
Water Management ◽  
Probability Theory ◽  
Stochastic Models ◽  
Mathematical Statistics ◽  
Stochastic Hydrology ◽  
Management Decisions ◽  
Quality Of Water ◽  
The Way

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.

Specifications of Machine-Tool Equipment: Forecasting Techniques

2015 ◽  
Vol 788 ◽  
pp. 318-324
Author(s):  
Egor A. Zverev ◽  
Pavel Tregubchak ◽  
Nikita Vakhrushev ◽  
Stanislav Ptitsyn
Keyword(s):  
Probability Theory ◽  
Machine Tool ◽  
Machine Tools ◽  
Automated Design ◽  
General Concept ◽  
Mathematical Statistics ◽  
Development Phase ◽  
Design Engineering ◽  
Engineering Systems ◽  
Initial Development

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.

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