International Journal of Theoretical and Applied Mathematics

Volume 10, Issue 2, April 2024

  • Research Article

    On Inference of Weitzman Overlapping Coefficient ∆(X,Y) in the Case of Two Normal Distributions

    Omar Mohammad Eidous*, Salam Khaled Daradkeh

    Issue: Volume 10, Issue 2, April 2024
    Pages: 14-22
    Received: 9 July 2024
    Accepted: 5 August 2024
    Published: 20 August 2024
    Downloads:
    Views:
    Abstract: The Weitzman overlapping coefficient ∆(X,Y) is the most important and widely used overlapping coefficient, which represents the intersection area between two probability distributions. This research proposes a new general technique to estimate ∆(X,Y) assuming the existence of two independent random samples following normal distributions. In contras... Show More
  • Research Article

    Boundary Domain Integral Equations for Variable Coefficient Mixed BVP in 2D Unbounded Domain

    Eshetu Seid Ahimed*

    Issue: Volume 10, Issue 2, April 2024
    Pages: 23-32
    Received: 26 July 2024
    Accepted: 20 August 2024
    Published: 30 August 2024
    Downloads:
    Views:
    Abstract: In this paper, the direct segregated Boundary Domain Integral Equations (BDIEs) for the Mixed Boundary Value Problems (MBVPs) for a scalar second order elliptic Partial Differential Equation (PDE) with variable coefficient in unbounded (exterior) 2D domain is considered. Otar Chkadua, Sergey Mikhailov and David Natroshvili formulated both the inter... Show More