BERNOULLI PROCESS

Domain	Definition
Statistics	The simplest probability model-a single trial between two possible outcomes such as a coin toss. The distribution depends upon a single parameter, 'p', representing the probability attributed to one defined outcome out of the two possible outcomes. Source: European Union. (references)
Source: compiled by the editor from various references; see credits.

Specialty Definition: Bernoulli process

In probability and statistics, a Bernoulli process or a Bernoulli experiment is a discrete-time stochastic process consisting of finite or infinite sequence of independent random variables X₁, X₂, X₃,..., such that

For each i, the value of X_i is either 0 or 1;
For all values of i, the probability that X_i=1 is the same number p.

The two possible values of each X_i are often called "success" and "failure", so that, when expressed as a number, 0 or 1, the value is said to be the number of successes on the ith "trial". The individual success/failure variables X_i are also called Bernoulli trials.

Random variables associated with the Bernoulli process include

The number of successes in the first n trials; this has a binomial distribution;
The number of trials needed to get r successes; this has a negative binomial distribution.
The number of trials needed to get one success; this has a geometric distribution, which is a special case of the negative binomial distribution.

Modern Translation: BERNOULLI PROCESS

Language		Translations for "BERNOULLI PROCESS"; alternative meanings/domain in parentheses.
Danish		Bernoulli-proces. (various references)

Dutch		Bernoulli-proces. (various references)

Finnish		Bernoullin prosessi. (various references)

French		modèle de Bernoulli. (various references)

German		Bernoulli-Prozess. (various references)

Italian		processo di Bernoulli, processo bernoulliano. (various references)

Pig Latin		ernoullibay ocesspray

Spanish		proceso de Bernoulli. (various references)
Source: compiled by the editor from various translation references.

Anagrams: BERNOULLI PROCESS

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "b-c-e-e-i-l-l-n-o-o-p-r-r-s-s-u"
	-4 letters: necropolises, repercussion.
	-5 letters: brucelloses, brucellosis, cellobioses, coprisoners, counsellors, irresoluble, necropoleis, preclusions, processible, resorcinols, responsible, subcolonies, superliners, superscribe.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.