A Nonparametric Test for Testing NBUCL Class of Life Distributions with Applications
Journal Title: IOSR Journal of Mathematics(IOSR-JM) - Year 2019, Vol 15, Issue 1
Abstract
This paper is devoted to define a new class of life distribution, named new better than used in increasing convex in Laplace transform order (NBUCL). A new test statistic for testing exponentiality against (NBUCL) class based on U-statistic is introduced. For the proposed test, the asymptotic properties are studied andselected critical values for sample size 5(5)50 are tabulated. The powers of this test are also estimated by using a simulation study for commonly used distributions in reliability. Pitman's asymptotic efficiencies of the test are calculated and compared with some old tests. The problem in the case of right censored data is also touched. Finally, our proposed test is applied to some real data sets in different areas.
Authors and Affiliations
M. A. W. Mahmoud, L. S. Diab, D. M. Radi
Keywords
Related Articles
- EP ID EP443067
- DOI 10.9790/5728-1501011521.
- Views 72
- Downloads 0
𝜷g * – Separation Axioms
In this paper, some new types of separation axioms in topological spaces by using đť›˝g * -open sets are formulated. In particular the concept of đť›˝g * -R0 and đť›˝g * -R1 axioms are introduced. Several properties of these spac...
Applications of Operations Research in Oil and Gas Induustry
Utilization of advancement or numerical programming approaches in the upstream division of the oil business, particularly to issues in the territory of (1) Generation frameworks plan and tasks, (2) lift gas and generatio...
Extension of Some Theorems In General Metric Spaces
We prove a version of Caristi-Kirk - BrowderTheorem and Park's Theorem [3,4] in G-metric space. And then give some corollaries.
Three-Step Method For Finding Root of Non-Linear Equations
In this paper, we proposed a three step method for approximating roots of non-linear equations. This method has three evaluations of function and first derivative which is modified from McDougall and Wotherspoon [1]. Num...
The Effect of School Location on Senior Secondary School Mathematics Students’ Performance in Gaya Zonal Education Area of Kano State, Nigeria
The Study was carried out to investigate the effect of school location on mathematics students’ performance in Gaya Zonal Education Area of Kano State, Nigeria. The expost facto design was used. A systematic random sampl...