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Spacek [6] and Hans [7] established a stochastic analog of the Banach fixed point theorem in a separable complete metric space.
The survey article by Bharucha-Reid [9] in 1976, where he studied sufficient conditions for a stochastic analog of Schauder's fixed point theorem for random operators, gave wings to random fixed point theory.
This equation can be viewed as a stochastic analog of the following classical deterministic difference equations: Δ ( r ( k ) Δ X ( k ) ) + f ( k ) F ( X ( k ) ) = 0 (1.4).
Therefore, we developed a stochastic analog of the above deterministic model to explore dynamics of the community-epidemiology continuum.
In this study, we evaluated the relative efficacy of several feasible genetic strategies for controlling disease vectors by comparing strategies with a relatively simple, deterministic ordinary differential equation model and its stochastic analog.
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The iteration in (8) is the stochastic approximation analog of it which replaces conditional expectation w.r.t.
This paper presents a stochastic flash analog-to-digital converter (ADC), implemented in a three-dimensional stacked technology.
In this paper a novel and effective maximum likelihood type method for the estimation of physically meaningful continuous-time stochastic systems from analog data records is introduced.
I like analog analogies.
The deterministic analog to stochastic models, a set of probability moment equations equivalent to the Chemical Master Equation (CME), offers the possibility of a priori analysis of systems without the need for computationally costly Monte Carlo simulations.
This network analog of stochastic resonance is not captured by a mean-field description that incorporates topology only on the level of the average degree, indicating that the detailed network topology plays a significant role in signal propagation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com