Taburan Bernoulli
| CF | q + p e i t {\displaystyle q+pe^{it}\,} |
|---|---|
| Mod | { 0 jika q > p 0 , 1 jika q = p 1 jika q < p {\displaystyle {\begin{cases}0&{\text{jika }}q>p\\0,1&{\text{jika }}q=p\\1&{\text{jika }}q<p\end{cases}}} |
| CDF | { 0 untuk k < 0 q untuk 0 ≤ k < 1 1 untuk k ≥ 1 {\displaystyle {\begin{cases}0&{\text{untuk }}k<0\\q&{\text{untuk }}0\leq k<1\\1&{\text{untuk }}k\geq 1\end{cases}}} |
| PMF | { q = ( 1 − p ) untuk k = 0 p untuk k = 1 {\displaystyle {\begin{cases}q=(1-p)&{\text{untuk }}k=0\\p&{\text{untuk }}k=1\end{cases}}} |
| Median | { 0 jika q > p 0.5 jika q = p 1 jika q < p {\displaystyle {\begin{cases}0&{\text{jika }}q>p\\0.5&{\text{jika }}q=p\\1&{\text{jika }}q<p\end{cases}}} |
| Kecondongan | q − p p q {\displaystyle {\frac {q-p}{\sqrt {pq}}}} |
| MGF | q + p e t {\displaystyle q+pe^{t}\,} |
| PGF | q + p z {\displaystyle q+pz\,} |
| Varians | p ( 1 − p ) {\displaystyle p(1-p)\,} |
| Maklumat Fisher | 1 p ( 1 − p ) {\displaystyle {\frac {1}{p(1-p)}}} |
| Min | p {\displaystyle p\,} |
| Ex. kurtosis | 1 − 6 p q p q {\displaystyle {\frac {1-6pq}{pq}}} |
| Parameter | 0 < p < 1 , p ∈ R {\displaystyle 0<p<1,p\in \mathbb {R} } |
| Entropi | − q ln ( q ) − p ln ( p ) {\displaystyle -q\ln(q)-p\ln(p)\,} |
| Sokongan | k ∈ { 0 , 1 } {\displaystyle k\in \{0,1\}\,} |
