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Sequential order statistics have been introduced to model sequential k-out-of-n systems which, as an extension of k-out-of-n systems, allow the failure of some components of the system to influence the remaining ones. Here, we consider nonparametric hypothesis testing for making the decision whether the baseline distributions of several sequential k-out-of-n systems are equal. The asymptotic distribution of the test statistics are derived for the case of known model parameters and for the case where the model parameters of the systems are unknown. [ABSTRACT FROM AUTHOR]