Poisson Distribution

Available identifiers

WikidataQ205692 ScholiaQ205692MaRDI QIDQ6674104

discrete probability distribution that models the number of events occurring in a fixed interval of time or space, given a constant mean rate of occurrence

Description

Assuming that these events occur with a known constant mean rate and independently of the time since the last event.

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Defining Formula: $P(k;\lambda )\equiv \frac{{\lambda }^k{e}^{-\lambda }}{k!}$

$\lambda$ symbol represents Expectation Value

$e$ symbol represents Euler Number

$k$ symbol represents Number of Occurrences

$P$ symbol represents Poisson Distribution

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