caa a22 4500 477062849 CHVBK 20180405111405.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00050853 doi (NATIONALLICENCE)springer-10.1007/BF00050853 Sequential order statistics and k -out-of- n systems with sequentially adjusted failure rates [Elektronische Daten] [Erhard Cramer, Udo Kamps] k-out-of-n systems frequently appear in applications. They consist of n components of the same kind with independent and identically distributed life-lengths. The life-length of such a system is described by the (n−k+1)-th order statistic in a sample of size n when assuming that remaining components are not affected by failures. Sequential order statistics are introduced as a more flexible model to describe ‘sequential k-out-of-n systems' in which the failure of any component possibly influences the other components such that their underlying failure rate is parametrically adjusted with respect to the number of preceding failures. Useful properties of the maximum likelihood estimators of the model parameters are shown, and several tests are proposed to decide whether the new model is the more appropriate one in a given situation. Moreover, for specific distributions, e.g. Weibull distributions, simultaneous maximum likelihood estimation of the model parameters and distribution parameters is considered. Kluwer Academic Publishers, 1996 Sequential k -out-of- n -system nationallicence sequential order statistics nationallicence generalized order statistics nationallicence type II censoring nationallicence maximum likelihood estimators nationallicence extremal quotient nationallicence Weibull distributions nationallicence Cramer Erhard Institute of Statistics, Aachen University of Technology, Wüllnerstr. 3, D-52056, Aachen, Germany aut Kamps Udo Institute of Statistics, Aachen University of Technology, Wüllnerstr. 3, D-52056, Aachen, Germany aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 535-549 0020-3157 48:3<535 1996 48 10463 https://doi.org/10.1007/BF00050853 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050853 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cramer Erhard Institute of Statistics, Aachen University of Technology, Wüllnerstr. 3, D-52056, Aachen, Germany aut NATIONALLICENCE 700 1- Kamps Udo Institute of Statistics, Aachen University of Technology, Wüllnerstr. 3, D-52056, Aachen, Germany aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 535-549 0020-3157 48:3<535 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer