arXiv subjects

Muhyiddin Izadi

Publications and source records attributed to Muhyiddin Izadi.

2 recordsLinked to original sources

arXiv2018

Testing Exponentiality Against a Trend Change in Mean Time to Failure in Age Replacement

Mean time to failure in age replacement evaluates the performance and effectiveness of the age replacement policy. In this paper, we propose a test for exponentiality against a trend change in mean time to failure in age replacement. We derive the asymptotic distribution of the test statistics under the null hypothesis to approximate the critical values. We conduct a simulation study to investigate the performance of the proposed test and compare it with some well known tests in the literature.

math.ST↗

arXiv2015

On testing More IFRA Ordering-II

Suppose F and G are two life distribution functions. It is said that F is more IFRA than G (written by F<_* G) if G^(-1) F(x) is starshaped on (0,infty). In this paper, the problem of testing H_0:F=_* G against H_1:F<_* G and F \neq_* G is considered in both cases when G is known and when G is unknown. We propose a new test based on U-statistics and obtain the asymptotic distribution of the test statistics. The new test is compared with some well known tests in the literature. In addition, we apply our test to a real data set in the context of reliability.

math.ST↗