Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 3
Abstract
Characterization results have great importance in statistics and probability applications. New characterizations of Exponential and Power Function distributions are presented using the sth conditional expectation of order statistics in terms of their failure (hazard) rate. Our results generalize some of the known results of Ahsanullah (2009). A simulation study has been conducted to help an engineer or a practitioner to check whether the underlying distribution belongs to the hypothesized family.
Authors and Affiliations
Ahmed Afify, A. N. Ahmed, Z. M. Nofal
Keywords
Related Articles
- EP ID EP651211
- DOI 10.24297/jam.v4i3.3698
- Views 211
- Downloads 0
An Image Denoising Algorithm Based On Curvelet Transform
Aiming at the limitations of the wavelet transform in image denoising, this paper proposes a new image denoising algorithm based on curvelet transform mathematical method. In this paper, the feasibility of this method is...
New two-step predictor-corrector method with ninth order convergence for solving nonlinear equations
In this paper, we suggest and analyze a new two-step predictor-corrector type iterative method for solving nonlinear equations of the type. This method based on a Halley and Householder iterative method and using predict...
One -Leg Hybrid Methods for Solving ODEs and DAEs
This paper introduces one-leg hybrid methods for solving ordinary differential equations (ODEs) and differential algebraic equations (DAEs). The order of convergence of these methods are determined and compared to the or...
THE FUNDAMENTAL SOLUTIONS OF DIFFERENTIAL OPERATOR WITH BLOCK - TRIANGULAR OPERATOR COEFFICIENTS
For the non-selfadjoint Sturm-Liouville equation with a block-triangular operator potential that increases at infinity, both increasing and decreasing at infinity operator solutions are found. The asymptotics of these so...
Semiorthogonal B-spline Wavelet for Solving 2D- Nonlinear Fredholm-Hammerstein Integral Equations
This work is concerned with the study of the second order (linear) semiorthogonal B-spline wavelet method to solve one-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind. Proof of the existe...