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Definition of Bernoulli distribution

1. Noun. A theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success.

Definition of Bernoulli distribution

1. Noun. (statistics) A discrete probability distribution, which takes value 1 with success probability $p$ and value 0 with failure probability $q=1-p$. ¹

¹ Source: wiktionary.com

Medical Definition of Bernoulli distribution

1. The probability distribution associated with two mutually exclusive and exhaustive outcomes, e.g., death or survival. (14 Aug 2000)

Lexicographical Neighbors of Bernoulli Distribution

Literary usage of Bernoulli distribution

Below you will find example usage of this term as found in modern and/or classical literature:

1. Multivariate Analysis and Its Applications by Theodore Wilbur Anderson, Ingram Olkin, Kʻai-tʻai Fang (1994)
"The Bernoulli distribution plays a central role in sampling procedures. Different sampling procedures lead to the binomial, hypergeometric, geometric, ..."

2. SAS(R) 9.1.3 Language Reference:: Dictionary, Fifth Edition, Volumes 1-4 by SAS Institute (2006)
"Range: 0 < p < 1 The CDF function for the Bernoulli distribution returns the probability that an observation from a Bernoulli distribution, with probability ..."

3. Generalized Linear Mixed Models by Charles E. McCulloch (2003)
"Since the response is binary, the outcome must have a marginal Bernoulli distribution. We might hypothesize the following model: /£> .i ..."

4. An Indoeuropean Classification: A Lexicostatistical Experiment by Isidore Dyen, Joseph B. Kruskal, Paul Black (1992)
"... distributions in the same manner that Normal approximations to the Bernoulli distribution were used above.) These columns have probabilities ..."

5. Mixture Models: Theory, Geometry, and Applications by Bruce G... Lindsay (1995)
"If the variance of the normals were very small, the resulting data would appear much like a Bernoulli distribution, in which nearly all the observations ..."

6. Topics in Statistical Dependence by Henry W. Block, Allan R. Sampson, Thomas H. Savits (1990)
"... Bernoulli distribution with parameter p, Fk* is a binomial distribution with parameters k and p, k = 0,1,.... More generally, if Fi,..., Ft is a finite ..."

7. Probability, Statistics, and Their Applications: Papers in Honor of Rabi by Krishna B. Athreya, Rabindra Nath Bhattacharya (2003)
"We generated 1000 samples of sizes n = 10 and 20 from a mixture of a discrete Bernoulli distribution with probability of success 0.1 and different ..."

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