Testing equality of conditionally jfclhwdqw exponential distributions

Abstract

For the models given V = v (a common random stress), X and Y are independently exponentially distributed with failure rates λ1and λ2v, testing H0λ1λ2using a random 'paired' sample is considered. It is shown that a uniformly most powerful invariant test does not exist even for one sided alternatives; locally most powerful invariant tests are derived and compared with existing procedures. The method is illustrated with reliability data. Finally, the robustness of the tests when the relationships of the failure rates to V is more complex are established.