In this paper, we consider the optimal designs and statistical analysis of accelerated life tests under the Marshal-Olkin multivariate exponential distribution. First, under the constant-stress and step-stress, the basic process of the accelerated life tests of the multivariate exponential distribution is introduced and corresponding parameters are estimated. Next, given the accelerated equation of k stress with l unknown parameters, the optimal designs of the accelerated life tests of type I and type II under the constant stress and step stress are respectively studied according to D-Optimal and V-Optimal. At last, under exponential distribution, the optimal step-stress accelerated life tests with competing causes of failure are presented, which can be actually regarded as a special case of multivariate exponential.
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