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This paper presents the process of the optimum test design for simple constant-stress and step-stress accelerated life tests under the progressively Type-I hybrid censoring data. Considering the constant-stress and step-stress accelerated models, the explicit conditional density functions of order statistics under progressively Type-I hybrid censoring scheme are given to obtain the expected Fisher information matrix. By minimizing the asymptotic variance of the mean life under the use stress, the optimum test design is completed by determining the test units allocated to each stress in constant-stress accelerated life test and the changing time to severer accelerated stress in step-stress accelerated life test. Finally, an example is shown to illustrate the optimum test design. The numerical results show that the step-stress accelerated life test is a better choice.
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