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Rates of Convergence for Data Augmentation on Finite Sample Spaces (1993)  (Make Corrections)  (14 citations)
Jeffrey S. Rosenthal



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Abstract: this paper, we examine this rate of convergence more carefully. We restrict our attention to the case where Y take values in a nite set. Thus, we imagine cointossing or the rolling of a nite die. Our set-up is that X = (X 1 ; : : : ; X n ) are n independent, unobserved results of a coin-toss or nite die. While we do not observe X, we do observe Y = (Y 1 ; : : : ; Y n ). Here Y i depends only on X i , in a known way. (For example, if the X i represent whether or not the i'th subject has... (Update)

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BibTeX entry:   (Update)

J.S. Rosenthal (1993), Rates of convergence for Data Augmentation on finite sample spaces. http://citeseer.ist.psu.edu/rosenthal93rates.html   More

@misc{ rosenthal93rates,
  author = "J. Rosenthal",
  title = "Rates of convergence for Data Augmentation on finite sample spaces",
  text = "J.S. Rosenthal (1993), Rates of convergence for Data Augmentation on finite
    sample spaces.",
  year = "1993",
  url = "citeseer.ist.psu.edu/rosenthal93rates.html" }
Citations (may not include all citations):
424   Sampling-based approaches to calculating marginal densities (context) - Gelfand, Smith - 1990
303   Stochastic relaxation (context) - Geman, Geman - 1984
222   Applied Probability and Queues (context) - Asmussen - 1987
173   The calculation of posterior distributions by data augmentat.. (context) - Tanner, Wong - 1987
157   Stochastic Processes (context) - Doob - 1953
106   Group Representations in Probability and Statistics (context) - Diaconis - 1988
98   General irreducible Markov chains and non-negative operators (context) - Nummelin - 1984
62   Geometric Theory of Dynamical Systems (context) - Palis, de Melo
58   Illustration of Bayesian inference in normal data models usi.. (context) - Gelfand, Hills et al. - 1990
40   A new approach to the limit theory of recurrent Markov chain.. (context) - Athreya, Ney - 1978
14   Rates of convergence for Gibbs sampling for variance compone.. - Rosenthal - 1991
12   On coupling of Markov chains (context) - Pitman - 1976
10   Chaotic Dynamical Systems (context) - Devaney - 1989
5   Limit theorems for semi-Markov processes and renewel theory .. (context) - Athreya, McDonald et al. - 1978



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Two Convergence Properties of Hybrid Samplers - Roberts, Rosenthal (1997)   (Correct)
Geometric Convergence Rates for Time-Sampled Markov Chains - Rosenthal (2003)   (Correct)
Recent Progress on Computable Bounds and the Simple Slice.. - Roberts, Rosenthal (1999)   (Correct)

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