The general theory of factorial analysis of continuous correspondance (FACC) is used to investigate the binary case of a continuous probability measure defined as:
T(x,y) = ayn + b, (x,y) Î D & n Î N = 0, elsewhere Where n = 0, a and b are the parameters of this distribution, while the domain D is a variable trapezoidal inscribed in the unit square. The trapezoid depends on two parameters a and ß.
This problem is solved. As special cases of our problem we obtain a complete solution for two of them which correspond to a particular form of the correlation matrix in the discrete case
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