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A discrete probability distribution that represents the result of a single trial, taking value 1 with "success" probability p and value 0 with "failure" probability q=1-p.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, statistics
Examples
- 1977 [Wiley], Jean Dickinson Gibbons, Ingram Olkin, Milton Sobel, Selecting and Ordering Populations, 1999, Society for Industrial and Applied Mathematics, Unabridged corrected republication, page 103, Since both of these distributions involve the same parameter p, the problem under consideration here may be called either selection of the best Bernoulli distribution or selection of the best binomial distribution.
- 2000, A. Berny, Selection and Reinforcement Learning for Combinatorial Optimization, Marc Schoenauer, Kalyanmoy Deb, Günther Rudolph, Xin Yao, Evelynne Lutton, Juan Julian Merelo, Hans-Paul Schwefel (editors), Parallel Problem Solving from Nature-PPSN VI, 6th International Conference Proceedings, Springer, page 601, In this paper however, we will only consider the family of Bernoulli distributions.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: binomial distribution
Antonyms: none provided
Broader terms: distribution, statistical distribution
After Swiss mathematician Jacob Bernoulli (1654—1705), one of many noted mathematicians of the Bernoulli family, who made important contributions to the field of probability.
Across languages
Translations
13 source translations are retained for this English entry.
-
Czech:
alternativní rozdělení
— distribution
-
Czech:
Bernoulliho rozdělení
— distribution
-
Finnish:
Bernoullin jakauma
— distribution
-
German:
Bernoulli-Verteilung
— distribution
-
Hungarian:
Bernoulli-eloszlás
— distribution
-
Icelandic:
Bernoulli-dreifing
— distribution
-
Icelandic:
tvíliðudreifing
— distribution
-
Icelandic:
tvíkostadreifing
— distribution
-
Polish:
rozkład zero-jedynkowy
— distribution
-
Polish:
rozkład Bernoulliego
— distribution
-
Portuguese:
distribuição de Bernoulli
— distribution
-
Romanian:
distribuție Bernoulli
— distribution
-
Russian:
распределение Бернулли
(raspredelenije Bernulli)
— distribution