stochastically

With probabilistic variation

In a manner involving randomness or probability rather than certainty.

A stochastic process has outcomes that vary according to chance, so to do something stochastically is to do it with random variation built in: The model stochastically generates weather patterns.

The term appears most often in mathematics, statistics, and computational contexts.

randomness

randomly

Without deliberate selection

arbitrarily · aleatory · chaotically · sporadically · probabilistically · chance · indeterminately · irregularly · nonlinearly · variably

probability

likelihood

Chance something will occur

variance · sampling · expectation · outcome · statistics · modeling · prediction · simulation · Bayesian · Markov

uncertainty

indeterminately

In an uncertain manner

indefinitely · approximately · imprecisely · fuzzily · noisily · roughly · inconclusively

Opposites
randomness vs. predictability

stochasticallydeterministically

In cause-guarantees-effect manner

predictably · certainly · inevitably · mechanistically · uniformly

mathematical/computational methodology

stochasticallydeterministically

In cause-guarantees-effect manner

analytically · exactly · algorithmically · formulaically · computationally

Family

stochastic, stochastics

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Used worldwide · Timeless · Abstract · Rated G