stochastic


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stochastic

 [sto-kas´tik]
pertaining to a random process; used particularly to refer to a time series of random variables.
Miller-Keane Encyclopedia and Dictionary of Medicine, Nursing, and Allied Health, Seventh Edition. © 2003 by Saunders, an imprint of Elsevier, Inc. All rights reserved.

stochastic

(stō-kas'tik),
Random.
Farlex Partner Medical Dictionary © Farlex 2012

stochastic

adjective Referring to a random variable; involving chance or probability.
Segen's Medical Dictionary. © 2012 Farlex, Inc. All rights reserved.

stochastic

adjective Referring to a random process; a process determined by a random distribution of probabilities; referring to a behavior not governed by known equations and initial conditions, thus unpredictable at any past or future time. See Chaos. Cf Deterministic.
McGraw-Hill Concise Dictionary of Modern Medicine. © 2002 by The McGraw-Hill Companies, Inc.

sto·chas·tic

(stō-kas'tik)
1. Random.
2. radiation therapy Pertaining to the effects of radiation seen in the person exposed to such radiation. This does not have a dose threshold, given that as the dosage increases so does the severity of the reaction.
[G. stochos, target, guess]
Medical Dictionary for the Health Professions and Nursing © Farlex 2012
References in periodicals archive ?
Jiang, "The threshold of a stochastic SIS epidemic model with vaccination," Applied Mathematics and Computation, vol.
Tosun, "Stochastic asymptotic stability of SIR model with variable diffusion rates," Journal of Dynamics and Differential Equations, vol.
Importantly, tendencies of momentum and other state variables associated with subgrid-scale processes in the dynamical core are uncertain and hence need to be represented as a stochastic process.
We propose to represent this inherent inaccuracy in weather and climate models using a stochastic additive term derived from the ECMWF operational forecast model.
The functions f([x.sub.k], [q.sub.k]) and g([x.sub.k], [[zeta].sub.k]) denote the stochastic nonlinearities with f(0, [[epsilon].sub.k]) = 0, g(0, [[zeta].sub.k]) = 0 and satisfy the following expectations and variances for all [x.sub.k]:
In model (2), if [mathematical expression not reproducible], which represents the fact that the sensor receives the data at time instant k successfully and we can estimate the state by using (7) and the observation values; if [[lambda].sub.k] = 0, [y.sub.k] = g([x.sub.k], [[zeta].sub.k]) + [v.sub.k], which stands for the fact that the sensor only receives the values of the stochastic nonlinearity function and the noises of the time instant k.
One important property for the stochastic integral is that
and for more details on stochastic integral see [1].
Definition 2 (capacitated dynamic and stochastic vehicle routing problem).
In [17], the method was for the first time applied to linear stochastic functional differential equations and developed further by the authors in the series of publications (see the review article [16]).
An adapted continuous stochastic process [U.sub.t] (resp., [L.sub.t]) is an upper (resp., lower) solution of SDE (1) if the inequalities
To the best of our knowledge, there are only few works on research of nonautonomous stochastic epidemic models with nonlinear saturated incidence rate and double epidemic hypothesis.