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

g   -open functions and g   -closed functions in topology

In this paper, we define and study g   -open functions and g   -closed functions and their various allied forms via g   -open sets due to Navalagi et. al. (2018) . Also, we define and study the concepts of g   -n...

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...

Modeling Pregnancy Induced Hypertension among Pregnant Woman in Jimma University Specialized Hospital

Many longitudinal studies generate a dataset having two or more longitudinal repeated biomarkers measurement, which often depend on each other. In Gestational hypertension study the two important markers are gestational...

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.

The Geometric Least Squares Fitting Of Ellipses

The problem of Fitting conic sections to given data in the plane is one which is of great interest and arises in many applications, e.g. computer graphics, statistics, coordinate metrology, aircraft industry, metrology,...

Download PDF file
  • EP ID EP443067
  • DOI 10.9790/5728-1501011521.
  • Views 100
  • Downloads 0

How To Cite

M. A. W. Mahmoud, L. S. Diab, D. M. Radi (2019). A Nonparametric Test for Testing NBUCL Class of Life Distributions with Applications. IOSR Journal of Mathematics(IOSR-JM), 15(1), 15-21. https://europub.co.uk/articles/-A-443067