• 제목/요약/키워드: func-tional central limit theorem.

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FUNCTIONAL CENTRAL LIMIT THEOREMS FOR THE GIBBS SAMPLER

  • Lee, Oe-Sook
    • 대한수학회논문집
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    • 제14권3호
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    • pp.627-633
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    • 1999
  • Let the given distribution $\pi$ have a log-concave density which is proportional to exp(-V(x)) on $R^d$. We consider a Markov chain induced by the method Gibbs sampling having $\pi$ as its in-variant distribution and prove geometric ergodicity and the functional central limit theorem for the process.

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