# Beta distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the beta distribution.

 cumulative mode lower P upper Q cumulative distribution 0≦P,Q≦1 shape parameter a a＞0 shape parameter b b＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Beta\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{1}{B(a,b)}}x^{a-1}(1-x)^{b-1}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,a,b)dt\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large\int_{\small x}^{\hspace{25}\small 1}}f(t,a,b)dt\\$
Beta distribution (percentile)
 [1-4] /4 Disp-Num5103050100200
[1]  2018/12/07 06:17   Male / 20 years old level / An engineer / Useful /
Purpose of use
Having fun ... Bless your heart!
[2]  2017/07/24 01:20   Male / 30 years old level / An engineer / Very /
Purpose of use
Check own implementation of beta distribution function.
[3]  2013/03/29 13:28   Male / 40 years old level / An office worker / A public employee / Very /
Purpose of use
To fit Probability Default (PD) distribution from historical observed defaults
Comment/Request
Thank You. Thank You. Thank You.
[4]  2009/03/13 21:22   Male / More than 60 / A researcher / Very /
Purpose of use
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