411 REFERENCE · Wiktionary
Bernoulli distribution
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English
Etymology
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.
Noun
en statistics A discrete probability distribution that represents the result of a single trial, taking value 1 with "success" probability and value 0 with "failure" probability .
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.
en 1985 R. R. Kinnison Applied Extreme Value Statistics Battelle Press https://books.google.com.au/books?id=UY0QAQAAIAAJ&q=%22Bernoulli+distribution%22%7C%22Bernoulli+distributions%22&dq=%22Bernoulli+distribution%22%7C%22Bernoulli+distributions%22&hl=en&sa=X&ved=0ahUKEwjhxZPQ_ajWAhXqzlQKHaKFAasQ6AEIogIwKg 26 A critical factor in the use of Bernoulli distributions is that the parameters of the distribution are known constants.
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.
Usage notes
The Bernoulli distribution is a special case of the binomial distribution, which treats an arbitrary number of trials.
Related terms
en Bernoulli random variable
Translations
distribution
Czech: cs alternativní rozdělení n, cs Bernoulliho rozdělení n
Finnish: fi Bernoullin jakauma
German: de Bernoulli-Verteilung f
Hungarian: hu Bernoulli-eloszlás
Icelandic: is Bernoulli-dreifing f, is tvíliðudreifing f, is tvíkostadreifing f
Polish: pl rozkład zero-jedynkowy m, pl rozkład Bernoulliego m
Portuguese: pt distribuição de Bernoulli f
Romanian: ro distribuție Bernoulli f
Russian: ru распределение Бернулли n
en eponyms