Examples of using Random processes in English and their translations into Russian
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Theory of Probability and Random Processes.
Use random processes to compute general probabilities and expectations.
Estimation of Irregularly Sampled Random Processes.
The rate of the reactions, as the random processes, is proportional to the average particle energy temperature and pressure.
Markov processes andqueues fully supported as random processes.
Optimal filtration of matrix gaussian random processes in planes lateral motion problem.
Keywords: partnership information system, forecasting the development of relations,Markov random processes.
Overlapping of these two random processes provides for the actual pattern of the water supply and distribution system operation.
Examples of the new progressive metal working equipment designed studies using random processes.
Basic notions of probability theory and random processes: probability distribution, independence and correlations, mean value, variance.
Mathematica 9 adds extensive support for time series and stochastic differential equation(SDE) random processes.
From descriptive statistics andrandom variables to time series and random processes, the whole framework is stronger, faster, and easier to use.
Random processes, like distributions, are symbolic expressions and can be simulated or estimated from data, and the value of a process at any point in time is a distribution and can be fully used as a distribution.
By analogy, the probability densities ρ 1, 2( w) for RV х 1,2 relating to the random processes x 1, 2( j) can be determined in the similar way.
Mathematica 9 fully supports a large number of random processes with some larger groups including parametric processes, finite Markov processes, queueing processes, time series processes and stochastic differential equation processes. .
Clark-Ocone type formulas allowpresenting square integrable and differentiable by Hida chance quantities as stochastic integrals of some random processes as well as reconstructing a chance quantity by its Hida derivative.
In the first part(section 1 and 2),the basic provisions of the theory of random variables and random processes, methods of their modeling by means of modern mathematical packages and original author's developments on practical methods of synthesis of random processes, which are recommended in the simulation of drive systems.
Findamental training of applied mathematician is achieved through mastering of classical mathematical sections such as mathematical and discrete analysis, mathematical logic and theory of algorithms, differential equations, theory of function of complex variables, functional analysis,theory of probabilities, random processes and mathematical statistics.
Of note, the functions ρ( w), ρ 1( w) and ρ 2( w),correspond to the set of values of the random processes x( j), x 1( j), and x 2( j), respectively, within a limited number of values of index j= 1, 2,…, N.
Consider the following random process for constructing an independent set S: 1.
QED In this case, the random process has|V| steps.
Independent re-tests are considered as a random process with discrete time.
Keywords: machine tools, temperature, the thermal deformation,error, random process.
Key words: control system,object management, random process, correction control.
For one-step model of stochastic basis a random process is considered where is a trivial-field, and is a-field generated by a countable number of atoms.
More generally, data about a random process is obtained from its observed behavior during a finite period of time.
Since a random process does not have a Fourier transform, the condition under which the sum converges to the original function must also be different.
A stationary random process does have an autocorrelation function and hence a spectral density according to the Wiener-Khinchin theorem.
This function is relevant to any blood test and, obviously,reflects a random process of the dimensionless Fourier variable p.
It is a stochastic volatility model: such a model assumes that the volatility of the asset is not constant, nor even deterministic,but follows a random process.