The different faces of the Beta distribution |
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---|---|---|
Parameter choices for α and β and corresponding density bounded between 0 and 1^{1} |
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α | β | |
equal alpha and beta | ||
0.5 | 0.5 | |
1 | 1 | |
2 | 2 | |
8 | 8 | |
smaller alpha | ||
0.5 | 1 | |
1 | 2 | |
1 | 8 | |
2 | 8 | |
smaller beta | ||
1 | 0.5 | |
2 | 1 | |
8 | 1 | |
8 | 2 | |
^{
1
}
f(x;α,β)=B(α,β)^{-1}x^{α} (1-x)^{β}, |