NONPARAMETRIC TEST FOR UBACT CLASS OF LIFE DISTRIBUTION BASED ON U-STATISTIC
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 2
Abstract
Based on U-statistic, testing exponentially versus used better than aged in convex tail ordering (UBACT) class of life distribution is introduced for complete and cen-sored data. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)80 for complete data, and (61)(10)(201) for censored data: The Pitman asymptotic relative e¢ ciency of the pro- posed tests to the other classes is studied. A numerical examples in medical science demonstrates practical application of the proposed test .
Authors and Affiliations
Mahmoud Bkr, Abu Youssef S. E, Bakr M. E
Keywords
Related Articles
- EP ID EP651549
- DOI 10.24297/jam.v11i2.1275
- Views 174
- Downloads 0
Regional Boundary Gradient Detectability in Distributed Parameter Systems
The aim of this paper is study and explore the notion of the regional boundary gradient detectability in connection with the choice of strategic gradient sensors on sub-region of the considered system domain bounda...
Bounded solution of Cauchy type singular integral equation of the first kind using differential transform method
In this paper, an efficient approximate solution for solving the Cauchy type singular integral equation of the first kind is presented. Bounded solution of the Cauchy type singular Integral equation is discusse...
Numerical Approximation of Internal Temperature in the Cylinder of an IC Engine
In this study, mollification and marching methods are used to solve an inverse problem in combustion engines. With the benefit of 2D mollification, we first propose an algorithm, and then prove some theorems, which ensur...
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...
Kenmotsu pseudo-Riemannian manifolds
In this paper, we study some properties of Kenmotsu manifolds with pseudo-Riemannian metrics. We prove that this kind of manifolds satisfying certain conditions such as R(X; Y ) R = 0;R(X; Y ) S = 0 are Einstei...