 Order restricted inference for sequential k-out-of-n systemsN. Balakrishnan, E. Beutner and U. Kamps Journal of Multivariate Analysis, 2008, vol. 99, issue 7, 1489-1502 Abstract: 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. Keywords: primary; 62F30; 62G30 secondary; 62H12; 62H15 k-out-of-n systems Sequential k-out-of-n systems Order statistics Sequential order statistics Order restricted maximum likelihood estimators Hypothesis tests under order restrictions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:99:y:2008:i:7:p:1489-1502 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of Multivariate Analysis is currently edited by de Leeuw, J. More articles in Journal of Multivariate Analysis from Elsevier |
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