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Central limit theorems for Markov chains are considered, and in particular the relationships between various expressions for asymptotic variance known from the literature. These turn out to be equal u...
Evaluation of Formal posterior distributions via Markov chain arguments
Admissibility formal Bayes improper prior distribution multivariate normal distribution recurrence superharmonic function
2010/4/26
We consider evaluation of proper posterior distributions obtained
from improper prior distributions. Our context is estimating a bounded
function of a parameter when the loss is quadratic. If the ...
Markov Chain Monte Carlo：Can We Trust the Third Significant Figure?
Convergence diagnostic Markov chain MonteCarlo standard errors
2010/4/27
Current reporting of results based on Markov chain Monte
Carlo computations could be improved. In particular, a measure of the
accuracy of the resulting estimates is rarely reported. Thus we have
l...
Multiple pattern matching：A Markov chain approach
Multiple pattern matching Markov chain approach
2010/4/28
RNA motifs typically consist of short, modular patterns that include base pairs formed
within and between modules. Estimating the abundance of these patterns is of fundamental
importance for assessi...