Inverse of Incomplete Beta Function 3
Let $a,p,q,x$ be positive real numbers and $0 < p,q,x < 1$, this calculator evaluates the following two functions.
- Inverse of regularized incomplete beta function on $b$, i.e. find $b$ such that $\displaystyle p=\mathbf{I}_x(a,b)=\frac{1}{\mathbf{B}(a,b)}\int_0^x t^{a-1}(1-t)^{b-1}\;dt$
- Inverse of complement regularized incomplete beta function on $b$, i.e. find $b$ such that $q=1-\mathbf{I}_x(a,b)$