No, x and y are not unique. In fact, there is an infinite number of x and y pairs that are roots to the equation P[X<x, Y<y] = 0.05.
Department of Methodology and Statistics
University of Maastricht, The Netherlands
From: [hidden email] [mailto:[hidden email]] On Behalf Of Arun Kumar Saha
Sent: Wednesday, July 25, 2007 08:58
To: [hidden email] Subject: [R] Regarding Bivariate normal distribution.
Dear all R gurus,
My question is related to statistics rather directly to R. Suppose
(X,Y) has a bivariate normal distrubution. I want to find two values of X and Y say x, and y respectively, such that:
P[X<x, Y<y] = 0.05
My questions are :
1. Can x and y be uniquely found?
2. If it is, how I can find them using R