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In modeling particle transport through a medium, the path of a particle behaves as a transient Markov Chain. We are interested in characteristics of the particle's movement conditional on its starting state which take the form of a \score" accumulated with each transition. Importance sampling is an essential variance reduction technique in this setting, and… (More)
1 Given Markov Chain in State s ¾ S, Propose New State t ¾ T with Probability q st. 2 Accept Move to State t with Probability r st r st min 1 π t π s
1. Stability Measures The potential drawdown of U.S. and Russian nuclear forces raises issues of future " stability. " Once these two powers no longer have arsenals that are as dominant when compared with the rest of the world as they once were, how will that affect global stability? Armchair arguments exist in both directions, such as a) The U.S. and… (More)
Action Plan B3 of the European Innovation Partnership on Active and Healthy Ageing (EIP on AHA) focuses on the integrated care of chronic diseases. Area 5 (Care Pathways) was initiated using chronic respiratory diseases as a model. The chronic respiratory disease action plan includes (1) AIRWAYS integrated care pathways (ICPs), (2) the joint initiative… (More)
Adaptive importance sampling involves successively estimating the function of interest and then constructing an importance sampling scheme built on the estimate. Here, we investigate such a scheme used in simulations of Markov chains derived from particle transport problems. Previous work had shown that for nite state spaces the convergence was exponential,… (More)
[This corrects the article DOI: 10.1186/s13601-016-0116-9.].
The Allergic Rhinitis and its Impact on Asthma (ARIA) initiative commenced during a World Health Organization workshop in 1999. The initial goals were (1) to propose a new allergic rhinitis classification, (2) to promote the concept of multi-morbidity in asthma and rhinitis and (3) to develop guidelines with all stakeholders that could be used globally for… (More)