# Factorial study of a certain parametric distribution.

A. Y. Yehia; K. I. Hamouda; Assem A. Tharwat

Trabajos de Estadística (1991)

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

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topYehia, 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.},

journal = {Trabajos de Estadística},

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.

JO - Trabajos de Estadística

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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