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) ∈ D & n ∈ 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 α and β.
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.
@article{urn:eudml:doc:40547,
title = {Factorial study of a certain parametric distribution.},
journal = {Trabajos de Estad\'\i stica},
volume = {6},
year = {1991},
pages = {3-16},
zbl = {0741.62063},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40547}
}
Yehia, A. Y.; Hamouda, K. I.; Tharwat, Assem A. Factorial study of a certain parametric distribution.. Trabajos de Estadística, Tome 6 (1991) pp. 3-16. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40547/