Bernoulli distribution

Summary

Bernoulli distribution is a probability distribution^[1]. It draws 1,257 Wikipedia views per month (probability_distribution category, ranking #2 of 9).^[2]

Key Facts

• Bernoulli distribution's instance of is recorded as probability distribution^[3].
• Jacob Bernoulli is named after Bernoulli distribution^[4].
• Bernoulli distribution's subclass of is recorded as binomial distribution^[5].
• Bernoulli distribution's subclass of is recorded as Indecomposable distribution^[6].
• Bernoulli distribution's Commons category is recorded as Bernoulli distribution^[7].
• Bernoulli distribution's Freebase ID is recorded as /m/01c8zc^[8].
• Bernoulli distribution's Gran Enciclopèdia Catalana ID is recorded as 0009539^[9].
• Bernoulli distribution's Encyclopædia Britannica Online ID is recorded as topic/standardized-random-variable^[10].
• Bernoulli distribution's defining formula is recorded as \Pr(X=1) = 1 - \Pr(X=0) = 1 - q = p.!^[11].
• Bernoulli distribution's MathWorld ID is recorded as Bernoulli^[12].
• Bernoulli distribution's Quora topic ID is recorded as Bernoulli-Distribution-probability^[13].
• Bernoulli distribution's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• Bernoulli distribution's Microsoft Academic ID is recorded as 27956954^[15].
• Bernoulli distribution's in defining formula is recorded as p^[16].
• Bernoulli distribution's Treccani's Enciclopedia della Matematica ID is recorded as distribuzione-di-bernoulli^[17].
• Bernoulli distribution's OpenAlex ID is recorded as C27956954^[18].
• Bernoulli distribution's support of a function is recorded as {0, 1}^[19].
• Bernoulli distribution's probability generating function is recorded as q + pz^[20].
• Bernoulli distribution's characteristic function is recorded as q + pe^{it}^[21].
• Bernoulli distribution's mean of a probability distribution is recorded as p^[22].
• Bernoulli distribution's variance of a probability distribution is recorded as p(1-p)^[23].
• Bernoulli distribution's skewness is recorded as \frac{q-p}{\sqrt{pq}}^[24].
• Bernoulli distribution's excess kurtosis is recorded as \frac{1 - 6pq}{pq}^[25].
• Bernoulli distribution's moment-generating function is recorded as q + pe^t^[26].
• Bernoulli distribution's Gran Enciclopèdia Catalana ID is recorded as variable-aleatoria-de-bernoulli^[27].

Body

Designation and Status

Bernoulli distribution's instance of is recorded as probability distribution^[3].

History and Context

Jacob Bernoulli is named after Bernoulli distribution^[4].

Why It Matters

Bernoulli distribution draws 1,257 Wikipedia views per month (probability_distribution category, ranking #2 of 9).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[28] It is known by 37 alternative names across languages and contexts.^[29]