Combining pre- and post-model information in the uncertainty quantification of non-deterministic models using an extended Bayesian melding approach

Che, 2018, Information fusion and numerical characterization of a multi-source information system, Knowl.-Based Syst., 145, 121, 10.1016/j.knosys.2018.01.008 Chen, 2015, An Information Axiom based decision making approach under hybrid uncertain environments, Inform. Sci., 312, 25, 10.1016/j.ins.2015.03.054 Chipman, 1975, Optimal aggregation in large-scale econometric models, Sankhya, 37 Coppe, 2010, Uncertainty reduction of damage growth properties using structural health monitoring, J. Aircraft, 47, 2030, 10.2514/1.C000279 Dubois, 1988 Dubois, 1999, Merging fuzzy information, 335 French, 1985, Group consensus probability distributions: a critical survey, 183 Genest, 1984, A characterization theorem for externally Bayesian groups, Ann. Stat., 12, 1100, 10.1214/aos/1176346726 Genest, 1986, Characterization of externally Bayesian pooling operators, Ann. Stat., 14, 487, 10.1214/aos/1176349934 Genest, 1986, Combining probability distributions: a critique and an annotated bibliography, Stat. Sci., 1, 147, 10.1214/ss/1177013831 Gullo, 2017, An information-theoretic approach to hierarchical clustering of uncertain data, Inform. Sci., 402, 199, 10.1016/j.ins.2017.03.030 Guo, 2018, System reliability assessment with multilevel information using the Bayesian melding method, Reliab. Eng. Syst. Safe., 170, 146, 10.1016/j.ress.2017.09.020 Guo, 2013, Bayesian methods for estimating system reliability using heterogeneous multilevel information, Technometrics, 55, 461, 10.1080/00401706.2013.804441 Hamada, 2004, A fully Bayesian approach for combining multilevel failure information in fault tree quantification and optimal follow-on resource allocation, Reliab. Eng. Syst. Safe., 86, 297, 10.1016/j.ress.2004.02.001 Helton, 2011, Quantification of margins and uncertainties: conceptual and computational basis, Reliab. Eng. Syst. Safe., 96, 976, 10.1016/j.ress.2011.03.017 Ijiri, 1971, Fundamental queries in aggregation theory, J. Am. Statist. Assoc., 66, 766, 10.1080/01621459.1971.10482345 Johnson, 2003, A hierarchical model for estimating the reliability of complex systems, Bayesian Stat., 7, 199 Karandikar, 2012, Prediction of remaining useful life for fatigue-damaged structures using Bayesian inference, Eng. Fract. Mech., 96, 588, 10.1016/j.engfracmech.2012.09.013 Li, 2018, et al., Physics of failure-based reliability prediction of turbine blades using multi-source information fusion, Appl. Soft Comput., 72, 624, 10.1016/j.asoc.2018.05.015 Li, 2014, Proportional hazard modeling for hierarchical systems with multi-level information aggregation, IIE Trans., 46, 149, 10.1080/0740817X.2013.772692 Li, 2016, Effectiveness of Bayesian filters: an information fusion perspective, Inform. Sci., 329, 670, 10.1016/j.ins.2015.09.041 Liu, 2016, Bayesian data fusion approaches to predicting spatial tracks: application to marine mammals, Ann. Appl. Stat., 10.1214/16-AOAS945 Madansky, 1978, Externally Bayesian groups, RAND Corp. Pan, 2017, Discussion of “Bayesian reliability: combining information, Qual. Eng., 29 Paris, 1999, Service load fatigue damage—a historical perspective, Int. J. Fatigue, 21, 35, 10.1016/S0142-1123(99)00054-7 Petry, 2015, Combining uncertain information of differing modalities, Inform. Sci., 322, 237, 10.1016/j.ins.2015.06.009 Poole, 2000, Inference for deterministic simulation models: the Bayesian melding approach, J. Am. Statist. Assoc., 95, 1244, 10.1080/01621459.2000.10474324 Raftery, 1995, Inference from a deterministic population dynamics model for Bowhead Whales, J. Am. Statist. Assoc., 90, 402, 10.1080/01621459.1995.10476529 Raftery, 2005, Using Bayesian model averaging to calibrate forecast ensembles, Month. Weather Rev., 133, 1155, 10.1175/MWR2906.1 Raftery, 1993, 163 Saadi, 2018, et al., An efficient hierarchical model for multi-source information fusion, Expert Syst. Appl., 110, 352, 10.1016/j.eswa.2018.06.018 Ševčíková, 2007, Assessing uncertainty in urban simulations using Bayesian melding, Transp. Res. Part B Methodol., 41, 652, 10.1016/j.trb.2006.11.001 Shafer, 1976 Simon, 1961, Aggregation of variables in dynamic systems, Econometrica, 29, 111, 10.2307/1909285 Stein, 2013, Bayesian approach for inconsistent information, Inform. Sci., 245, 96, 10.1016/j.ins.2013.02.024 Urbina, 2011, Quantification of margins and uncertainties of complex systems in the presence of aleatoric and epistemic uncertainty, Reliab. Eng. Syst. Safe., 96, 1114, 10.1016/j.ress.2010.08.010 Wei, 2019, Information fusion in rough set theory : an overview, Inform. Fusion, 48, 107, 10.1016/j.inffus.2018.08.007 Wilson, 2016, Bayesian reliability: combining information, Qual. Eng., 29, 119 Yang, 2010, A driver fatigue recognition model based on information fusion and dynamic Bayesian network, Inform. Sci., 180, 1942, 10.1016/j.ins.2010.01.011 Yang, 2019, On the performance evaluation of a hierarchical-structure prototype product using inconsistent prior information and limited test data, Inform. Sci., 485, 362, 10.1016/j.ins.2019.02.018 Yang, 2019, Reliability assessment of a hierarchical system subjected to inconsistent priors and multi-level data, IEEE Trans. Reliab. Yang, 2016, A Bayesian-based reliability estimation approach for corrosion fatigue crack growth utilizing the random walk, Qual. Reliab. Eng. Int., 32, 2519, 10.1002/qre.1954 Yang, 2017, Bayesian-based information extraction and aggregation approach for multilevel systems with multi-source data, J. Syst. Eng. Electron., 28, 385, 10.21629/JSEE.2017.02.19 Zhao, 2014, Hierarchical description of uncertain information, Inform. Sci., 268, 133, 10.1016/j.ins.2014.01.028