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Statistics and Computing

, Volume 11, Issue 1, pp 83–87 | Cite as

Bounding convergence rates for Markov chains: An example of the use of computer algebra

  • John E. Kolassa
Article
  • 73 Downloads

Abstract

Kolassa and Tanner (J. Am. Stat. Assoc. (1994) 89, 697–702) present the Gibbs-Skovgaard algorithm for approximate conditional inference. Kolassa (Ann Statist. (1999), 27, 129–142) gives conditions under which their Markov chain is known to converge. This paper calculates explicity bounds on convergence rates in terms calculable directly from chain transition operators. These results are useful in cases like those considered by Kolassa (1999).

Markov chain Monte Carlo computer algebra 

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References

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • John E. Kolassa
    • 1
  1. 1.Rutgers UniversityPiscataway

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