How do I calculate the cumulative probability distribution function for a bivariate normal distribution with conditions $P( x>a , y>b)$?
Is there any method to solve $$P(x>a,y>b)\\\int_{b}^{\infty}\int_{a}^{\infty}\frac{1}{2\pi\sqrt{1-\rho^2}}\exp\left(-\frac12\frac{x^2-2\rho xy+y^2}{1-\rho^2}\right)\,dx\,dy$$