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

Statistics Theory 2018-10-30 v1 Methodology Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1810.11480,
  title  = {Testing Exponentiality Against a Trend Change in Mean Time to Failure in Age Replacement},
  author = {Muhyiddin Izadi and Sirous Fathimanesh},
  journal= {arXiv preprint arXiv:1810.11480},
  year   = {2018}
}