Category:Erlang Distribution
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This category contains results about the Erlang distribution.
Let $X$ be a continuous random variable on a probability space $\struct {\Omega, \Sigma, \Pr}$.
Let $\Img X = \hointr 0 \infty$.
Let $k$ be a strictly positive integer.
Let $\lambda$ be a strictly positive real number.
$X$ is said to have an Erlang distribution with parameters $k$ and $\lambda$ if and only if it has probability density function:
- $\map {f_X} x = \dfrac {\lambda^k x^{k - 1} e^{- \lambda x} } {\map \Gamma k}$
where $\Gamma$ denotes the gamma function.
This is written:
- $X \sim \map {\operatorname {Erlang} } {k, \lambda}$
Pages in category "Erlang Distribution"
The following 5 pages are in this category, out of 5 total.