Abstract
A new class of test statistics is proposed for testing the hypothesis that an item has stochastically the same life length as a used item of any age against the alternate hypothesis that an item has Laplace increasing failure rate on average (LIFRA). This newly proposed class of tests is based on weighted integrals. The test is shown to be consistent. This class of tests gives great flexibility because a weight parameter a may be chosen appropriately to yield high power against specific alternatives. The empirical distribution function and the power of the proposed test are calculated via simulation to permit applications and to show superior performance versus five other tests. Finally an application to a real-life data is given.
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