The discussion centers on proving the inequality F(x1, x2, ..., xn) ≤ min Fi(xi), where F represents a cumulative distribution function (CDF) for the variables x1 through xn. The participants emphasize the intuitive nature of this inequality but express difficulty in formulating a rigorous mathematical proof. The conversation suggests that a detailed examination of the probabilities involved in the CDFs is essential for establishing the validity of the statement.
PREREQUISITESMathematicians, statisticians, and students studying probability theory who are interested in understanding the properties of cumulative distribution functions and their applications in inequalities.
aashish.v said:1. Prove that: F(x1,x2,...xn)<=min Fi(xi)
Where F is a DF on (x1...xn)
I know that this is very intuitive. But I am not able to find proper mathematical argument for that.