Definition:Hat-Check Distribution/Definition 1
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Definition
$X$ has the hat-check distribution with parameter $n$ if and only if:
- $\ds \map \Pr {X = k} = \dfrac 1 {\paren {n - k }!} \sum_{s \mathop = 0}^k \dfrac {\paren {-1}^s} {s!}$
Also see
- Equivalence of Definitions of Hat-Check Distribution
- Hat-Check Distribution Gives Rise to Probability Mass Function satisfying $\map \Pr \Omega = 1$.