Abstract
Sequential order statistics have been introduced as a more flexible model than ordinary order statistics to describe (sequential) k-out-of-n systems, where, after each failure, the remaining components possess a possibly different failure rate than before. We consider the situation of a sample of sequential k-out-of-n systems, which are allowed to have different structures. Explicit expressions of the maximum likelihood estimators of both the model parameters and the distribution parameters are derived in specific classes of distributions. Moreover, several useful properties of the estimators are presented.
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© 1998 Birkhäuser Boston
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Cramer, E., Kamps, U. (1998). Maximum Likelihood Estimation With Different Sequential k-out-of-n Systems. In: Kahle, W., von Collani, E., Franz, J., Jensen, U. (eds) Advances in Stochastic Models for Reliability, Quality and Safety. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2234-7_7
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DOI: https://doi.org/10.1007/978-1-4612-2234-7_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7466-7
Online ISBN: 978-1-4612-2234-7
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