scholarly journals Towards Improving the Efficiency of Bayesian Model Averaging Analysis for Flow in Porous Media via the Probabilistic Collocation Method

Water ◽  
2018 ◽  
Vol 10 (4) ◽  
pp. 412 ◽  
Author(s):  
Liang Xue ◽  
Cheng Dai ◽  
Yujuan Wu ◽  
Lei Wang
PLoS ONE ◽  
2013 ◽  
Vol 8 (6) ◽  
pp. e65039 ◽  
Author(s):  
Xiaodong Huang ◽  
Peter Grace ◽  
Wenbiao Hu ◽  
David Rowlings ◽  
Kerrie Mengersen

2017 ◽  
Vol 64 (4) ◽  
pp. 383-400 ◽  
Author(s):  
Jarko Fidrmuc ◽  
Svatopluk Kapounek ◽  
Martin Siddiqui

Using a rich dataset on individual firms in selected EU countries between 2005 and 2012, we document a surprisingly high share of assets tied in highly inefficient firms. Moreover, we discuss different channels through which institutions may affect firm financial developments and thus the long-run growth. Using Bayesian model averaging analysis, we discuss the importance of different types of economic, financial and political institutions. We show that high institutional quality improves the financial conditions of firms. However, too lax business regulations may worsen firms? performance possibly due to excessive risk taking behavior.


2014 ◽  
Vol 16 (4) ◽  
pp. 1010-1030 ◽  
Author(s):  
Heng Li

AbstractA stochastic approach to conditional simulation of flow in randomly heterogeneous media is proposed with the combination of the Karhunen-Loeve expansion and the probabilistic collocation method (PCM). The conditional log hydraulic conductivity field is represented with the Karhunen-Loeve expansion, in terms of some deterministic functions and a set of independent Gaussian random variables. The propagation of uncertainty in the flow simulations is carried out through the PCM, which relies on the efficient polynomial chaos expansion used to represent the flow responses such as the hydraulic head. With the PCM, existing flow simulators can be employed for uncertainty quantification of flow in heterogeneous porous media when direct measurements of hydraulic conductivity are taken into consideration. With illustration of several numerical examples of groundwater flow, this study reveals that the proposed approach is able to accurately quantify uncertainty of the flow responses conditioning on hydraulic conductivity data, while the computational efforts are significantly reduced in comparison to the Monte Carlo simulations.


Author(s):  
Lorenzo Bencivelli ◽  
Massimiliano Giuseppe Marcellino ◽  
Gianluca Moretti

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