%0 Journal Article %1 pauli2011bayesian %A Pauli, Francesco %A Racugno, Walter %A Ventura, Laura %D 2011 %J Statistica Sinica %K Bayesian composite_likelihood methods pseudolikelihood statistics %N 1 %P 149 %T Bayesian composite marginal likelihoods %U http://www3.stat.sinica.edu.tw/statistica/password.asp?vol=21&num=1&art=6 %V 21 %X This paper proposes and discusses the use of composite marginal like- lihoods for Bayesian inference. This approach allows one to deal with complex statistical models in the Bayesian framework, when the full likelihood - and thus the full posterior distribution - is impractical to compute or even analytically un- known. The procedure is based on a suitable calibration of the composite likelihood that yields the right asymptotic properties for the posterior probability distribu- tion. In this respect, an attractive technique is offered for important settings that at present are not easily tractable from a Bayesian perspective, such as, for in- stance, multivariate extreme value theory. Simulation studies and an application to multivariate extremes are analysed in detail.

@article{pauli2011bayesian, abstract = {This paper proposes and discusses the use of composite marginal like- lihoods for Bayesian inference. This approach allows one to deal with complex statistical models in the Bayesian framework, when the full likelihood - and thus the full posterior distribution - is impractical to compute or even analytically un- known. The procedure is based on a suitable calibration of the composite likelihood that yields the right asymptotic properties for the posterior probability distribu- tion. In this respect, an attractive technique is offered for important settings that at present are not easily tractable from a Bayesian perspective, such as, for in- stance, multivariate extreme value theory. Simulation studies and an application to multivariate extremes are analysed in detail. }, added-at = {2013-05-15T06:45:31.000+0200}, author = {Pauli, Francesco and Racugno, Walter and Ventura, Laura}, biburl = {https://www.bibsonomy.org/bibtex/2a483311b5467897caa33c97f2a5d58de/peter.ralph}, interhash = {5994fab80960f21c5d87a2df448246d2}, intrahash = {a483311b5467897caa33c97f2a5d58de}, journal = {Statistica Sinica}, keywords = {Bayesian composite_likelihood methods pseudolikelihood statistics}, number = 1, pages = 149, timestamp = {2013-05-15T07:15:11.000+0200}, title = {Bayesian composite marginal likelihoods}, url = {http://www3.stat.sinica.edu.tw/statistica/password.asp?vol=21&num=1&art=6}, volume = 21, year = 2011 }