Cumulative distribution function¶
-
btdtr
(a, b, x)¶ - Returns the area from zero to x under the beta density function.
Parameters:
See also incbet()
.
Description¶
Returns the area from zero to x under the beta density function:
\[P(x~|~a, b) = \frac{\Gamma(a+b)}{\Gamma(a)+\Gamma(b)} \int_0^xt^{a-1}(1-t)^{b-1} dt\]
This function is identical to the incomplete beta integral function
incbet()
.
The complemented function is:
1 - P(1-x | a, b) = incbet( b, a, x )