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Advances in mathematical modeling for reliability. Revised selected papers from the 5th conference on mathematical methods in reliability, Glasgow, July 1–4, 2007. (English) Zbl 1166.62073
Amsterdam: IOS Presss (ISBN 978-1-58603-865-6). x, 237 p. EUR 60.00; £ 42.00; $ 84.00 (2008).

[The articles of this volume will not be reviewed individually.]

Contents: Introduction (v–viii); Helge Langseth, Bayesian networks in reliability: The good, the bad, and the ugly (1–8); Anca Hanea and Dorota Kurowicka, Mixed nonparametric continuous and discrete Bayesian belief nets (9–16); Roland Donat, Patrice Aknin, Laurent Bouillaut and Philippe Leray, A dynamic graphical model to represent complex survival distributions (17–24); Jacek Jonczy and Rolf Haenni, Network reliability evaluation with propositional directed acyclic graphs (25–31); Waltraud Kahle, Some properties of incomplete repair and maintenance models (32–38); Petr Volf, On models of degradation and partial repairs (39–45); Alireza Daneshkhah and Tim Bedford, Sensitivity analysis of a reliability system using Gaussian processes (46–62); Isha Dewan, On independence of competing risks (63–71); P. G. Sankaran and Alphonsa Antony Ansa, Bivariate competing risks models under masked causes of failure (72–79); Bo Henry Lindqvist, Competing risks in repairable systems (80–87); Yann Dijoux, Laurent Doyen and Olivier Gaudoin, Conditionally independent generalized competing risks for maintenance analysis (88–95) ; Maxim Finkelstein and Veronica Esaulova, Asymptotic properties of bivariate competing risks models (96–102); F. G. Badía and M. D. Berrade, On the reversed hazard rate and mean inactivity time of mixtures (103–110) Tomasz Rychlik, Bounds on lifetimes of coherent systems with exchangeable components (111–118); Ioannis S. Triantafyllou and Markos V. Koutras, On the signature of coherent systems and applications for consecutive k-out-of-n:F systems (119–128); Myles Hollander and Francisco J. Samaniego, The use of stochastic precedence in the comparison of engineered systems (129–137); Fabio Spizzichino, The role of signature and symmetrization for systems with non-exchangeable components (138–148); Fabio Spizzichino and Florentina Suter, Generalized Marshall-Olkin models: Aging and dependence properties (149–157); Félix Belzunce, Julio Mulero and José-María Ruiz, New multivariate IFR and DMRL notions for exchangeable dependent components (158–164); Fabrizio Ruggeri and Refik Soyer, Advances in Bayesian software reliability modeling (165–176); Arne Bang Huseby, Signed domination of oriented matroid systems (177–184); F. P. A. Coolen and P. Coolen-Schrijner, Nonparametric predictive inference for k-out-of-m systems (185–192); Akim Adekpedjou, Jonathan Quiton and Edsel A. Peña, Some aspects pertaining to recurrent event modeling and analysis (193–207); Sophie Mercier and Michel Roussignol, Sensitivity estimates in dynamic reliability (208–216); J. A. M. van der Weide, J. M. van Noortwijk and Suyono, Renewal theory with discounting (217–226); Anatoly Lisnianski, Point estimation of the transition intensities for a Markov multi-state system via output performance observation (227–234).

62N05Reliability and life testing (survival analysis)
62-06Proceedings of conferences (statistics)
60K10Applications of renewal theory
60K20Applications of Markov renewal processes
90B25Reliability, availability, maintenance, inspection, etc. (optimization)