Category:Bernoulli Distribution
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This category contains results about the Bernoulli distribution.
Definitions specific to this category can be found in Definitions/Bernoulli Distribution.
Let $X$ be a discrete random variable on a probability space.
Then $X$ has the Bernoulli distribution with parameter $p$ if and only if:
- $(1): \quad X$ has exactly two possible values, for example $\Img X = \set {a, b}$
- $(2): \quad \map \Pr {X = a} = p$
- $(3): \quad \map \Pr {X = b} = 1 - p$
where $0 \le p \le 1$.
Subcategories
This category has the following 4 subcategories, out of 4 total.
Pages in category "Bernoulli Distribution"
The following 17 pages are in this category, out of 17 total.
B
- Bernoulli Process as Binomial Distribution
- Bernoulli Process as Geometric Distribution
- Bernoulli Process as Geometric Distribution/Shifted
- Bernoulli Process as Negative Binomial Distribution
- Bernoulli Process as Negative Binomial Distribution/First Form
- Bernoulli Process as Negative Binomial Distribution/Second Form
- Bernoulli Process as Shifted Geometric Distribution