# stochast- +

#### (Greek: to aim at, to guess, to conjecture; to aim, to target, to mark)

astochastic

Non-random or without conjecture.

stochastic

1. A reference to, characterized by, or skilled in conjecture; conjectural.

2. Subject to the laws of probability; not predictable within a given time limit or spatial framework, as the disintegration of a single radioactive element; such as, the

3. Denoting the process of selecting, from among a group of theoretically possible alternatives, those elements or factors whose combination will most closely approximate a desired result; such as, a

4. In cybernetics, partially random or uncertain, not continuous; a

5. Etymology: from "pertaining to conjecture"; from Greek

2. Subject to the laws of probability; not predictable within a given time limit or spatial framework, as the disintegration of a single radioactive element; such as, the

*stochastic*phenomena of microphysics.3. Denoting the process of selecting, from among a group of theoretically possible alternatives, those elements or factors whose combination will most closely approximate a desired result; such as, a

*stochastic*model.4. In cybernetics, partially random or uncertain, not continuous; a

*stochastic variable*is neither completely determined nor completely random; in other words, it contains an element of probability. A system containing one or more stochastic variables is probabilistically determined.5. Etymology: from "pertaining to conjecture"; from Greek

*stokhastikos*, "able to guess, conjecturing"; from*stokhazesthai*, "guess", from*stokhos*, "a guess, aim, target, mark"; literally, "pointed stick set up for archers to shoot at".The sense of "randomly determined" is first recorded in 1934, from German *Stochastik*.

stochastic analysis

An analysis related to a process involving a randomly determined sequence of observations, each of which is considered as a sample of one element from a probability distribution.

stochastic automaton, probabilistic automaton

A device, with a finite number of internal states, that scans words over a finite alphabet, with the next state determined according to probabilistic functions of the current input word.

stochastic control theory

A branch of control theory that attempts to predict and to minimize the magnitudes and limits of random deviations in a control system by optimizing the design of the controller.

stochastic cooling

The gathering; that is, the focusing of clouds of subatomic particles in an accelerator by monitoring their scattering vectors and altering the magnetic environment in an accelerator storage ring to keep them close together.

First employed in storing particles of antimatter, which are expensive to manufacture and should not be wasted.

stochastic matrix

A square matrix with non-negative real entries such that the sum of the entries of each row equals one.

If, in addition, the sum of the entries in each column equals one, the matrix is said to be *doubly stochastic*.

stochastic model

A mathematical model that contains uncertainties or random variables.

stochastic process, random process

A family of random variables, dependent upon a parameter which usually denotes time.

stochastically

1. A reference to involving or showing random behavior.

2. Characterized by being involved or subject to probabilistic behavior.

3. Involving guesswork or conjecture; random; involving random or unpredictable values.

4. Relating to being susceptible to random influences and; therefore, subject to the laws of probability; the opposite of deterministic.

2. Characterized by being involved or subject to probabilistic behavior.

3. Involving guesswork or conjecture; random; involving random or unpredictable values.

4. Relating to being susceptible to random influences and; therefore, subject to the laws of probability; the opposite of deterministic.

stochasticity

The quality of lacking any predictable order or plan.

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