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Parallel Statistical Computing for Statistical Inference

AI-generated Abstract

This paper discusses the implementation and advantages of parallel statistical computing in statistical inference, emphasizing its capability to enhance computational efficiency for large data sets by leveraging multicore machines. It categorizes various hardware architectures for parallel computing, such as pipeline processors, array processors, and concurrent multicomputers, explaining their relevance and applications in statistical methods. Through empirical testing, the effectiveness of parallel algorithms, such as k-means clustering and bootstrap resampling, is demonstrated, illustrating significant improvements in execution times when utilizing multiple processors.

Key takeaways

  • We use the term "parallel statistical computing" to denote the use of parallel methods in statistical computation.
  • Parallel statistical systems are still at the research stage.
  • Hegland (2006) considered the problem of fitting data sets using two parallel multiplication by rows into some blocks, called the normal parallel decomposition, and the parallel QR factorization.
  • Parallel DE was implemented as two separate parallel programs.
  • One of the most efficient methods for parallel MCMC is to run multiple chains in parallel.