# stochastic

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Related to stochastically: Stochastically independent

## stochastic

[sto-kas´tik]
pertaining to a random process; used particularly to refer to a time series of random variables.

(stō-kas'tik),
Random.

## stochastic

/sto·chas·tic/ (sto-kas´tik) pertaining to a random process, particularly a time series of random variables.

## stochastic

adjective Referring to a random variable; involving chance or probability.

## 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.

## 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]

## stochastic

arrived at by skilful conjecturing; allowing the opportunity for variation.
References in periodicals archive ?
Therefore, the upper-bounding observer problem can be stated as follows: design a positive observer in the form of (24) such that system (28) is positive and stochastically stable and satisfies the performance [mathematical expression not reproducible] under zero initial conditions.
Whitney (1947) On a test of whether one of two random variables is stochastically larger than the other, The annals of mathematical statistics, vol.
The distribution of contributions of the competitive group first order stochastically dominates that of the competitive group for the vast majority of the distribution.
xy] it's possible as in the case of Greece to test (5)-(7) whether the features observed are stochastically linearly independent.
The existing methods of stochastically informed expertise (Rutkauskas 2012b), the techniques of stochastic optimization as well as the methods of stochastic evaluation of losses incurred by the environmental or social components, allow expecting for the success.
16) review the solution to the optimal consumption and saving problem in the basic framework with income fluctuating stochastically but without retirement.
Generally, both cases are included in the following stochastically differential form:
A random variable Y is said to be stochastically greater than another, X, if Pr(Y [greater than or equal to] a) > Pr(X [greater than or equal to] a) for any a.
Experimental animal grouping: The 109 Wistar rats were stochastically divided into the following groups: normal group (7 rats); an ulcerative colitis model group (21 rats with 5 deaths); a physiologic saline/negative control group (21 rats, 10 deaths); the Xipayi KuiJiean large dose intervention group (19 rats, 7 deaths); the medium dose intervention group (20 rats, 5 deaths); and the small dose intervention group (21 rats, 5 deaths).
Each individual's fit in a particular population is evaluated; multiple individuals are stochastically selected (based on their fit) and modified (recombined and randomly mutated) to form a new population.
Rothschild and Stiglitz showed that the mean-preserving spread of a distribution is second-order stochastically dominated by the (original) distribution.
In general, for a deteriorating system, it is reasonable to assume that the successive working times are stochastically decreasing while the consecutive repair times after failures are stochastically increasing, due to the ageing and accumulated wearing many systems.

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