Abstract
A non-monotonic ageing class based on failure rate average has been introduced and its relationships with existing classes are explored. Closure properties under the basic reliability operations have been discussed and survival probability bounds as well as moment bounds have been derived. We also propose a nonparametric test to detect trend change in failure rate average assuming that proportion of early failures is known. The exact null as well as asymptotic distributions of the proposed test statistic have been obtained. The test is shown to be consistent. A Monte Carlo simulation study has been conducted to assess the performance of the proposed test and illustrative examples involving real-life data sets are presented.
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