Modeling of Discrete HNBUE Class with Hypothesis Testing Application

Abstract

A new model is proposed to test whether an equipment whose life is measured in discrete time units fails due to uncontrollable chance factors alone against the alternatives that it degrades over time in the sense of discrete HNBUE (harmonic new better than used in expectation) aging. The test is shown to be consistent and the asymptotic distribution of the test statistic has been obtained. The critical points and the power of the test against various alternatives from discrete HNBUE class have been studied by means of simulation. Finally, the test is applied to a discrete reliability data to examine the performance.

Keywords:

• Consistency
• Discrete Weibull law
• Geometric probability law
• HNBUE class
• Hypothesis testing

Mathematics Subject Classification:

• Primary 62Gxx
• Secondary 62F10
• 62E15
• 62N99
• 62G10