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Beta Distribution (Percentile)

TOP/Statistical Functions/Beta distribution
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Calculate the percentile based on the lower or upper cumulative probability value of the beta distribution.
Cumulative Mode
Cumulative Probability
0≦P,Q≦1
Shape parameter a
a＞0
Shape parameter b
b＞0
\(\normalsize Beta\ distribution\\ (1)\ probability\ density\\ \hspace{30px}f(x,a,b)={\large\frac{1}{B(a,b)}}x^{a-1}(1-x)^{b-1}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,a,b)={\large\int_{\small 0}^{\small x}}f(t,a,b)dt\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,a,b)={\large\int_{\small x}^{\small 1}}f(t,a,b)dt\\\)

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