Abstract
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(xm,y)=ay n+b, (x,y)ɛD&nɛN=0, elsewhere
Wheren≥0,a andb are the parameters of this distribution. While the DomainD 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 obtaine a complete solution fot two of them which correspondt to a particular form of the correlation matrix in the discrete case.
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References
BENZECRI, J. P. (1975):Distance Distributionalie et Metrique du X 2 en Analyse Factorielle des correspondance, Puplication roueoti, Univ. Paris VI.
BENZECRI, J. P. (1973):L’analyse des Données, vol, 2,L’analyse des correspondance, Paris-France.
BENZECRI, J. P. (1980):Pratique de L’analyse des Donnees, Bordas, Paris, France.
HAMOUDA, K. I. (1974):L’analyse Factorielle des Correspondance Continuous entre Une Famille Finie des Espace de Probabilité, Thése d’Etat. Univ. Paris VI, France.
HAMOUDA, K. I., and YEHIA, A. Y. (1983): «Analyse Factorielle D’une Mésure de Probabilité Continue binaire»,The Egyptian statistical Journal, Vol. 27, No. 2.
HAMOUDA, K. I., and YEHIA, A. Y. (1984): «The study of a continuous binary correspondence»,The 18 th, Ann. C. of stat., Computer S. and Math., Vol. 18, No. 2.
HAMOUDA, K. I., and YEHIA, A. Y. (1984): «Factorial analysis for continuous probability measure on Trapeziod»,Math. phys. Soc. Egypt, No. 59, pp. 201–214.
NAOURI, M. J. Ch. (1971):L’analyse Factorielle des correspondances continues, cas binaire», Thése d'Etat univ., Paris-France.
THARWAT, A.A. (1988): «Applications of factorial analysis for discrete and continuous correspondance» M. Sc. Thesis, Cairo Univ. Egypt.
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Yehia, A.Y., Hamouda, K.I. & Tharwat, A.A. Factorial study of a certain parametric distribution. TDE 6, 3–16 (1991). https://doi.org/10.1007/BF02863668
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DOI: https://doi.org/10.1007/BF02863668