Bayesian Modeling of External Corrosion in Underground Pipelines Based on the Integration of Markov Chain Monte Carlo Techniques and Clustered Inspection Data

2014 ◽  
Vol 30 (4) ◽  
pp. 300-316 ◽  
Author(s):  
Hui Wang ◽  
Ayako Yajima ◽  
Robert Y. Liang ◽  
Homero Castaneda
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Bayesian Modeling ◽  
Monte Carlo Techniques ◽  
Underground Pipelines ◽  
External Corrosion ◽  
Inspection Data

scholarly journals Typical representatives of free homotopy classes in multi-punctured plane

2019 ◽  
Vol 11 (03) ◽  
pp. 623-659
Author(s):  
Maxim Arnold ◽  
Yuliy Baryshnikov ◽  
Yuriy Mileyko
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Probability Measure ◽  
Homotopy Class ◽  
Piecewise Linear ◽  
Homotopy Classes ◽  
Simple Method ◽  
Monte Carlo Techniques ◽  
Free Homotopy Class

We show that a uniform probability measure supported on a specific set of piecewise linear loops in a nontrivial free homotopy class in a multi-punctured plane is overwhelmingly concentrated around loops of minimal lengths. Our approach is based on extending Mogulskii’s theorem to closed paths, which is a useful result of independent interest. In addition, we show that the above measure can be sampled using standard Markov Chain Monte Carlo techniques, thus providing a simple method for approximating shortest loops.

scholarly journals WinBUGS for Population Ecologists: Bayesian Modeling Using Markov Chain Monte Carlo Methods

2009 ◽  
pp. 883-915 ◽  
Author(s):  
Olivier Gimenez ◽  
Simon J. Bonner ◽  
Ruth King ◽  
Richard A. Parker ◽  
Stephen P. Brooks ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Monte Carlo Methods ◽  
Bayesian Modeling
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