Trabajos de Estadistica

, Volume 6, Issue 1, pp 3–16 | Cite as

Factorial study of a certain parametric distribution

  • A. Y. Yehia
  • K. I. Hamouda
  • A. A. Tharwat


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,yD&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.

Key words

Hypergeometric differential equation Hypergeometric function factorial analysis of continuous measure spectral analysis linear homogenous Fredholm integral equation Eigenvalue problem 


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Copyright information

© Springer 1991

Authors and Affiliations

  • A. Y. Yehia
    • 1
  • K. I. Hamouda
    • 1
  • A. A. Tharwat
    • 1
  1. 1.Department of Mathematics Faculty of ScienceCairo UniversityCairoEgypt

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