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Item

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  1. University of Yangon
  2. Department of Computer Science

Parallel Single Chain in Markov Chain Monte Carlo Simulation

http://hdl.handle.net/20.500.12678/0000002456
http://hdl.handle.net/20.500.12678/0000002456
c93d9887-1846-4543-bc46-86294921a065
69aa31a4-bdfb-4d8f-9a92-ad530b15a727
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Parallel Parallel Single Chain in Markov Chain Monte Carlo Simulation.pdf (493 Kb)
Publication type
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Title
Title Parallel Single Chain in Markov Chain Monte Carlo Simulation
Language en
Publication date 2016
Authors
Wint Pa Pa Kyaw
Description
The Markov Chain Monte Carlo (MCMC) method is a statistical almost experimental approach to computing integral using random positions, called samples, whose distribution is carefully chosen. In this research, a normal distribution model with unknown mean and known variance is considered. Posterior statistics are computed using the sample mean and standard deviation, as well as the prior mean and standard deviation, instead of data input. Because this is a singleparameter model, posterior samples of mean are simulated in parallel by Monte Carlo simulation. This research also presents parallel communication schemes for simulated a single chain in Markov chain using Message Passing Interface (MPI). In this simulation, the number of simulation steps broadcast to all participating processes. Each process computes a partial sum of simulated values. All partial sums are combined into the grand sum. Finally, the root process computes posterior mean and standard variance. A major purpose of this research is to advocate the use of parallelization within a single chain, hence infusing high-performance computing technologies.
Keywords
parallel processing
Identifier https://uyr.uy.edu.mm/handle/123456789/603
Journal articles
University of Yangon Research Journal
Conference papaers
Books/reports/chapters
Thesis/dissertations
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