Journal of Statistics: Advances in Theory and Applications
BASED ON GOODNESS OF FIT APPROACHAuthor's: S. M. El-Arishy, L. S. Diab and E. S. El-Atfy
Pages: [255] - [273]
Received Date: December 2, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121747
The concept of residual probability plays an important role in
reliability and life testing. In the current investigation, we
presented a new test for testing exponentiality against new better
than renewal used in the RP order 
based on the goodness of fit approach.
The Pitman asymptotic efficiency (PAE), the Pitman asymptotic relative
efficiency (PARE) relative to test given in the work of Kayid et al.
[12] are studied. Power and critical values of this test are
calculated to assess the performance of the test. Finally, a test of
exponentiality versus for right censored data, the power
estimates of this test are also simulated for some commonly used
distributions in reliability and sets of real data are used as
examples to elucidate the use of the proposed test statistic for
practical problems.
reliability, life distributions, ageing class, exponential distribution,
U-statistic, asymptotic normality, efficiency, relative efficiency,
Monte Carlo method, power and censored data.
