Some Statistical Properties of the Solutions of a
System of two dimensional Integral Equations
contains Beta distribution

Mohammad Wahdan Muflih; Areej Salah Mohammad; Ahmed Issa Abdulnabi

doi:https://doi.org/10.14445/22315373/IJMTT-V34P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 1 | Year 2016 | Article Id. IJMTT-V34P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P507

Some Statistical Properties of the Solutions of a System of two dimensional Integral Equations contains Beta distribution

Mohammad Wahdan Muflih, Areej Salah Mohammad, Ahmed Issa Abdulnabi

Citation :

Mohammad Wahdan Muflih, Areej Salah Mohammad, Ahmed Issa Abdulnabi, "Some Statistical Properties of the Solutions of a System of two dimensional Integral Equations contains Beta distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 1, pp. 28-33, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P507

Abstract

In this paper, we find the two solutions of a system of two dimensional integral equations contains respectively two beta distributions with different values of the two parameters in two cases and equal in the third that is to introduce two corresponding probability density functions. The variance of each resulting probability density function corresponding to the supposing three cases are derived that is to indicate which of the probability density function gave the maximum variance. Furthermore, the correlation coefficient between any pair of the probability density function is determined.

Keywords

Beta distribution, Adomian decomposition method, System of two dimensional integral equations.

References

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