Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - On the geometric ergodicity of hybrid samplers.
AU - Fort, G.
AU - Moulines, E.
AU - Roberts, G. O.
AU - Rosenthal, J. S.
PY - 2003
Y1 - 2003
N2 - In this paper, we consider the random-scan symmetric random walk Metropolis algorithm (RSM) on Rd. This algorithm performs a Metropolis step on just one coordinate at a time (as opposed to the full-dimensional symmetric random walk Metropolis algorithm, which proposes a transition on all coordinates at once). We present various sufficient conditions implying V-uniform ergodicity of the RSM when the target density decreases either subexponentially or exponentially in the tails.
AB - In this paper, we consider the random-scan symmetric random walk Metropolis algorithm (RSM) on Rd. This algorithm performs a Metropolis step on just one coordinate at a time (as opposed to the full-dimensional symmetric random walk Metropolis algorithm, which proposes a transition on all coordinates at once). We present various sufficient conditions implying V-uniform ergodicity of the RSM when the target density decreases either subexponentially or exponentially in the tails.
U2 - 10.1239/jap/1044476831
DO - 10.1239/jap/1044476831
M3 - Journal article
VL - 40
SP - 123
EP - 146
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 1
ER -