Properties of likelihood inference for order restricted models
Journal of Multivariate Analysis
Multivariate aging properties of epoch times of nonhomogeneous processes
Journal of Multivariate Analysis
Stochastic Comparisons of Generalized Order Statistics
Probability in the Engineering and Informational Sciences
Stochastic Orderings Between p-Spacings Of Generalized Order Statistics From Two Samples
Probability in the Engineering and Informational Sciences
Multivariate Stochastic Comparisons Of Sequential Order Statistics
Probability in the Engineering and Informational Sciences
Reliability and expectation bounds for coherent systems with exchangeable components
Journal of Multivariate Analysis
Sequential order statistics with an order statistics prior
Journal of Multivariate Analysis
Aging properties of sequential order statistics
Probability in the Engineering and Informational Sciences
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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. Based on an independent sample of vectors of sequential order statistics, the maximum likelihood estimators of the model parameters of a sequential k-out-of-n system are derived under order restrictions. Special attention is paid to the simultaneous maximum likelihood estimation of the model parameters and the distribution parameters for a flexible location-scale family. Furthermore, order restricted hypothesis tests are considered for making the decision whether the usual k-out-of-n model or the general sequential k-out-of-n model is appropriate for a given data.