ergodicity


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Words related to ergodicity

an attribute of stochastic systems

References in periodicals archive ?
Ji, "The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence," Journal of Mathematical Analysis and Applications, vol.
So, we shall estimate such scheme ergodicity in the sense of the directed graph ergodic subset [13].
We shall seek the optimum estimate of these parameters, preserving the ergodicity condition and the properties of realization (1) of the process.
Hansen, "Geometric ergodicity of Metropolis algorithms," Stochastic Processes and their Applications, vol.
One interesting way to design pseudo-random generators can be found in chaos theory [8,9,10], Indeed, chaotic systems are characterized by their high sensitivity to initial parameters and some properties like ergodicity, mixing property and high complexity [8, 11].
Some of the technical terms discussed in the book include Ergodicity stationarity and noise-to-signal ratio.
Using ergodicity hypothesis, as the space-time compensatory phenomenon making it possible to conduct similar assessments in space by the estimates in time and vice versa, the dependence of the humus horizon extreme power from energy costs on soil formation allows us calculate the development extreme values that a soil of particular granulometric composition may attain provided the keeping of continuing climatic conditions of the modern era (instrumental period), taking into account the long-term climate scenarios, either by past time intervals (if the results of climate reconstructions are available).
It is assumed that all random parameters are statistically stationary and obey the ergodicity principle.
In order to obey both of the rule of solution expression and the rule of the coefficient ergodicity [2], the corresponding auxiliary function is determined by H(x) = 1.
Furthermore, as is well-known, chaos exhibits ergodicity in the whole space, as shown in Fig.
where <x> denotes an average over the ensemble of source realizations, which can be computed as a time average under the hypothesis of ergodicity [30,32].
7) Note that the idea of progressive lack of dependence includes ergodicity and asymptotic independence.
where y(t) [member of](0,1), [mu] is usually set to 4 to obtain ergodicity of y(t + 1) within (0, 1).