International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
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On NBUmgf class at specific age

  • Gadallah, A.M. (Department of Basic Sciences, Thebes Higher Institute for Engineering Thebes Academy)
  • Received : 2016.02.13
  • Accepted : 2016.08.30
  • Published : 2016.12.31
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Abstract

A new concept of aging classes namely new better (worse) than used at age $t_0$ in moment generating function order, $NBU_{mgf}-t_0$ ($NWU_{mgf}-t_0$) is introduced. For the classes $NBU_{mgf}-t_0$ ($NWU_{mgf}-t_0$), preservation under convolution, mixture, mixing and the homogeneous Poisson shock model are studied. In the sequel, nonparametric test is proposed, the asymptotic normality of the class is established and the asymptotic null variance is estimated. The percentiles and powers of this test are tabulated. The asymptotic efficiencies for some alternatives distributions are derived. Finally sets of real data are used as examples to elucidate the use of the proposed test in practical application.

Keywords

References

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