caa a22 4500 605519439 CHVBK 20210128100730.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11009-013-9338-7 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9338-7 Penultimate Approximations in Statistics of Extremes and Reliability of Large Coherent Systems [Elektronische Daten] [Paula Reis, Luísa Canto e Castro, Sandra Dias, M. Gomes] In reliability theory any coherent system can be represented as either a series-parallel or a parallel-series system. Its lifetime can thus be written as the minimum of maxima or the maximum of minima. For large-scale coherent systems it is sensible to assume that the number of system components goes to infinity. Then, the possible non-degenerate extreme value laws either for maxima or for minima are eligible candidates for the system reliability or at least for the finding of adequate lower and upper bounds for the reliability. The identification of the possible limit laws for the system reliability of homogeneous series-parallel (or parallel-series) systems has already been done under different frameworks. However, it is well-known that in most situations such non-degenerate limit laws are better approximated by an adequate penultimate distribution. Dealing with regular and homogeneous parallel-series systems, we assess both theoretically and through Monte-Carlo simulations the gain in accuracy when a penultimate approximation is used instead of the ultimate one. Springer Science+Business Media New York, 2013 Extreme value theory nationallicence Monte-Carlo simulation nationallicence Penultimate and ultimate approximations nationallicence System reliability nationallicence Reis Paula CEAUL, Lisboa, Portugal aut Canto e Castro Luísa CEAUL, Lisboa, Portugal aut Dias Sandra CM-UTAD, Vila Real, Portugal aut Gomes M. CEAUL, Lisboa, Portugal aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 189-206 1387-5841 17:1<189 2015 17 11009 https://doi.org/10.1007/s11009-013-9338-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9338-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Reis Paula CEAUL, Lisboa, Portugal aut NATIONALLICENCE 700 1- Canto e Castro Luísa CEAUL, Lisboa, Portugal aut NATIONALLICENCE 700 1- Dias Sandra CM-UTAD, Vila Real, Portugal aut NATIONALLICENCE 700 1- Gomes M. CEAUL, Lisboa, Portugal aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 189-206 1387-5841 17:1<189 2015 17 11009