Bernoulli trial


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Related to Bernoulli trial: binomial distribution, Geometric distribution

Bernoulli trial

n. Statistics
An experiment having only two possible outcomes, usually denoted success and failure, with the properties that the probability of occurrence of each outcome is the same in each trial and the occurrence of one excludes the occurrence of the other in any given trial.

[After Jakob Bernoulli.]

Bernoulli trial

n
(Statistics) statistics one of a sequence of independent experiments each of which has the same probability of success, such as successive throws of a die, the outcome of which is described by a binomial distribution. See also binomial experiment, geometric distribution
[named after Jacques Bernoulli]
References in periodicals archive ?
A theorem on gambling system asserts that under any non-anticipative system the successive bets form a sequence of Bernoulli trial with unchanged probability for success.
The third chapter of Baxter's Handbook of Old Chinese (Berlin: Mouton de Gruyter, 1992) demonstrates, clearly but with no superfluous detail, how to use the probabilistic method called the Bernoulli trial to study rhyming in a received Chinese corpus.
Specific topics described include injectivity of the Dubins-Freedman construction of random distributions, almost sure convergence of weighted sums of independent random variables, aperiodic order via dynamical systems, laws of iterated logarithm for weighted sums of iid random variables, and homeomorphic Bernoulli trial measures and ergodic theory.