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
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