Research output: Contribution to journal › Article › peer-review
Approximate marginal densities of independent parameters. / Kharroubi, Samer A.
In: Statistics: A Journal of Theoretical and Applied Statistics, Vol. 46, No. 4, 08.2011, p. 1-13.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Approximate marginal densities of independent parameters
AU - Kharroubi, Samer A.
PY - 2011/8
Y1 - 2011/8
N2 - This paper presents an asymptotic approximation for the marginal density of any parameter of interest of a joint posterior density in the case of independent parameters. The approximation is based on the signed-root-based importance sampling algorithm considered in Kharroubi and Sweeting [Posterior simulation via signed root log-likelihood ratios, Bayesian Anal. (2010), in press] and gives rise to the alternative simulation-consistent scheme to Markov chain Monte Carlo for marginal densities. The consideration is illustrated by a censored regression model.
AB - This paper presents an asymptotic approximation for the marginal density of any parameter of interest of a joint posterior density in the case of independent parameters. The approximation is based on the signed-root-based importance sampling algorithm considered in Kharroubi and Sweeting [Posterior simulation via signed root log-likelihood ratios, Bayesian Anal. (2010), in press] and gives rise to the alternative simulation-consistent scheme to Markov chain Monte Carlo for marginal densities. The consideration is illustrated by a censored regression model.
KW - Statistics
KW - Bayesian inference;
KW - importance sampling;
KW - signed root log-likelihood ratio;
KW - simulation
UR - http://www.scopus.com/inward/record.url?scp=84863815889&partnerID=8YFLogxK
U2 - 10.1080/02331888.2010.540667
DO - 10.1080/02331888.2010.540667
M3 - Article
VL - 46
SP - 1
EP - 13
JO - Statistics: A Journal of Theoretical and Applied Statistics
JF - Statistics: A Journal of Theoretical and Applied Statistics
SN - 0233-1888
IS - 4
ER -