If so, which one is the dependent and which one is independent?
If x+y= 1 => x = 1- y, x, y belongs to R, then y is independent and x is dependent. But in case of x > y, how we have to define the dependency between the two variables.
Consider X > Y => X-delta = Y , where delta >0 .
From that you obtain X =Y + delta OR Y= X-delta depending on which quantity is of interest to be the dependent or independent variable.
Dependency of two variables can only determine logically or by using a planned experimental design with having control on both X and Y variables.
If X and Y are random variables, where the values taken by X and Y belongs to R, restricting the condition that max (X)
Respected Yvik Swan,
Actually in my case there are two mappings in two separate metric spaces, for data taken by the random variable X forms a mapping and Y also forms a mapping on two different metric spaces. We can not consider these two variables X and Y as we used in regression analysis.
Respected Emilio, You mean to say that these two distributions are dependent.
Yes, Dhruba, I think they are mutually dependent from our ordering point of view. emilio
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