# Factorial study of a certain parametric distribution.

• Volume: 6, Issue: 1, page 3-16
• ISSN: 0213-8190

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## Abstract

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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, elsewhereWhere 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.

## How to cite

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Yehia, A. Y., Hamouda, K. I., and Tharwat, Assem A.. "Factorial study of a certain parametric distribution.." Trabajos de Estadística 6.1 (1991): 3-16. <http://eudml.org/doc/40547>.

@article{Yehia1991,
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(x,y) = ayn + b, (x,y) ∈ D & n ∈ N = 0, elsewhereWhere 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.},
author = {Yehia, A. Y., Hamouda, K. I., Tharwat, Assem A.},
keywords = {Función hipergeométrica; Análisis factorial; Análisis espectral; Autovalores; trapezoidal domain; hypergeometric differential equation; hypergeometric function; factorial analysis of continuous measure; spectral analysis; linear homogeneous Fredholm integral equation; eigenvalue problem; factorial analysis of continuous correspondences; binary case of a continuous probability measure; correlation matrix},
language = {eng},
number = {1},
pages = {3-16},
title = {Factorial study of a certain parametric distribution.},
url = {http://eudml.org/doc/40547},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Yehia, A. Y.
AU - Hamouda, K. I.
AU - Tharwat, Assem A.
TI - Factorial study of a certain parametric distribution.
PY - 1991
VL - 6
IS - 1
SP - 3
EP - 16
AB - 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, elsewhereWhere 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.
LA - eng
KW - Función hipergeométrica; Análisis factorial; Análisis espectral; Autovalores; trapezoidal domain; hypergeometric differential equation; hypergeometric function; factorial analysis of continuous measure; spectral analysis; linear homogeneous Fredholm integral equation; eigenvalue problem; factorial analysis of continuous correspondences; binary case of a continuous probability measure; correlation matrix
UR - http://eudml.org/doc/40547
ER -

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