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st: How to compute with Stata probabilities by conditioning ?

From   "Tiago V. Pereira" <>
Subject   st: How to compute with Stata probabilities by conditioning ?
Date   Mon, 20 May 2013 12:36:39 -0300 (BRT)

Many thanks, Roger! That makes sense.



If you type, in Stata,

help density_functions##normal

then you will find that the function binormal(h,k,r) computes the joint
cumulative distribution function, not the conditional diatribution
function as you seem to believe. The .pdf documentatio gives the equation

I hope this helps.

Best wishes

Dear statalisters,

Imagine two standard normal variables, X and Y, with known correlation, rho.

P(X>t1|Y>t2) can be computed with


What if we were interest in computing

P(X>t1 and Y>t2) ?

Since X and Y are correlated, I am a bit confused.

I am using brute force (dumb way):

set obs 1000000000
matrix M = (1,rho \ rho, 1)
drawnorm x y, means(0 0) sds(1 1) corr(M)
count if x>t1&y>t2

P(X>t1 and Y>t2)  = r(N)/_N

Is there a smarter way of computing probabilities by conditioning (with

Thanks in advance.


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