{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,19]],"date-time":"2026-04-19T08:13:24Z","timestamp":1776586404918,"version":"3.51.2"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,9,27]],"date-time":"2014-09-27T00:00:00Z","timestamp":1411776000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2015,1]]},"DOI":"10.1007\/s11222-014-9516-7","type":"journal-article","created":{"date-parts":[[2014,9,26]],"date-time":"2014-09-26T15:08:30Z","timestamp":1411744110000},"page":"113-125","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Efficient computational strategies for doubly intractable problems with applications to Bayesian social networks"],"prefix":"10.1007","volume":"25","author":[{"given":"Alberto","family":"Caimo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonietta","family":"Mira","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,9,27]]},"reference":[{"key":"9516_CR1","doi-asserted-by":"crossref","unstructured":"Andrieu, C., Atchad\u00e9, Y.F.: On the efficiency of adaptive MCMC algorithms. In: Proceedings of the 1st International Conference on Performance Evaluation Methodologies and Tools, ACM International Conference Proceeding Series, vol. 180 (2006)","DOI":"10.1145\/1190095.1190150"},{"issue":"3","key":"9516_CR2","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1214\/105051606000000286","volume":"16","author":"C Andrieu","year":"2006","unstructured":"Andrieu, C., Moulines, \u00c9., et al.: On the ergodicity properties of some adaptive MCMC algorithms. Ann. Appl. Probab. 16(3), 1462\u20131505 (2006)","journal-title":"Ann. Appl. Probab."},{"issue":"4","key":"9516_CR3","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/s11222-008-9110-y","volume":"18","author":"C Andrieu","year":"2008","unstructured":"Andrieu, C., Thoms, J.: A tutorial on adaptive MCMC. Stat. Comput. 18(4), 343\u2013373 (2008)","journal-title":"Stat. Comput."},{"issue":"5","key":"9516_CR4","doi-asserted-by":"crossref","first-page":"815","DOI":"10.3150\/bj\/1130077595","volume":"11","author":"YF Atchad\u00e9","year":"2005","unstructured":"Atchad\u00e9, Y.F., Rosenthal, J.S., et al.: On adaptive Markov chain Monte Carlo algorithms. Bernoulli 11(5), 815\u2013828 (2005)","journal-title":"Bernoulli"},{"key":"9516_CR5","first-page":"1","volume":"21","author":"Y Bai","year":"2009","unstructured":"Bai, Y., Roberts, G.O., Rosenthal, J.S.: On the containment condition for adaptive Markov chain Monte Carlo algorithms. Adv. Appl. Stat. 21, 1\u201354 (2009)","journal-title":"Adv. Appl. Stat."},{"key":"9516_CR6","first-page":"1","volume":"29","author":"M B\u00e9dard","year":"2010","unstructured":"B\u00e9dard, M., Douc, R., Moulines, E.: Scaling analysis of delayed rejection MCMC methods. Methodol. Comput. Appl. Probab. 29, 1\u201328 (2010)","journal-title":"Methodol. Comput. Appl. Probab."},{"key":"9516_CR7","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1111\/j.2517-6161.1974.tb00999.x","volume":"36","author":"JE Besag","year":"1974","unstructured":"Besag, J.E.: Spatial interaction and the statistical analysis of lattice systems (with discussion). J. R. Stat. Soc. Ser. B 36, 192\u2013236 (1974)","journal-title":"J. R. Stat. Soc. Ser. B"},{"issue":"1","key":"9516_CR8","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.socnet.2010.09.004","volume":"33","author":"A Caimo","year":"2011","unstructured":"Caimo, A., Friel, N.: Bayesian inference for exponential random graph models. Soc. Netw. 33(1), 41\u201355 (2011)","journal-title":"Soc. Netw."},{"issue":"1","key":"9516_CR9","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.socnet.2012.10.003","volume":"35","author":"A Caimo","year":"2013","unstructured":"Caimo, A., Friel, N.: Bayesian model selection for exponential random graph models. Soc. Netw. 35(1), 11\u201324 (2013)","journal-title":"Soc. Netw."},{"key":"9516_CR10","doi-asserted-by":"crossref","unstructured":"Caimo, A., Friel, N.: Bergm: Bayesian exponential random graphs in R. J. Stat. Softw. (2014), to appear","DOI":"10.18637\/jss.v061.i02"},{"issue":"488","key":"9516_CR11","doi-asserted-by":"crossref","first-page":"1454","DOI":"10.1198\/jasa.2009.tm08393","volume":"104","author":"RV Craiu","year":"2009","unstructured":"Craiu, R.V., Rosenthal, J., Yang, C.: Learn from thy neighbor: parallel-chain and regional adaptive MCMC. J. Am. Stat. Assoc. 104(488), 1454\u20131466 (2009)","journal-title":"J. Am. Stat. Assoc."},{"issue":"4","key":"9516_CR12","doi-asserted-by":"crossref","first-page":"940","DOI":"10.1080\/10618600.2012.687493","volume":"21","author":"RG Everitt","year":"2012","unstructured":"Everitt, R.G.: Bayesian parameter estimation for latent Markov random fields and social networks. J. Comput. Graph. Stat. 21(4), 940\u2013960 (2012)","journal-title":"J. Comput. Graph. Stat."},{"issue":"1","key":"9516_CR13","doi-asserted-by":"crossref","first-page":"179","DOI":"10.2307\/2348942","volume":"43","author":"WR Gilks","year":"1994","unstructured":"Gilks, W.R., Roberts, G.O., George, E.I.: Adaptive direction sampling. Statistician 43(1), 179\u2013189 (1994)","journal-title":"Statistician"},{"issue":"2","key":"9516_CR14","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1198\/jcgs.2009.07174","volume":"19","author":"P Giordani","year":"2010","unstructured":"Giordani, P., Kohn, R.: Adaptive independent Metropolis\u2013Hastings by fast estimation of mixtures of normals. J. Comput. Graph. Stat. 19(2), 243\u2013259 (2010)","journal-title":"J. Comput. Graph. Stat."},{"issue":"4","key":"9516_CR15","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1093\/biomet\/88.4.1035","volume":"88","author":"PJ Green","year":"2001","unstructured":"Green, P.J., Mira, A.: Delayed rejection in reversible jump Metropolis\u2013Hastings. Biometrika 88(4), 1035\u20131053 (2001)","journal-title":"Biometrika"},{"issue":"2","key":"9516_CR16","doi-asserted-by":"crossref","first-page":"223","DOI":"10.2307\/3318737","volume":"7","author":"H Haario","year":"2001","unstructured":"Haario, H., Saksman, E., Tamminen, J.: An adaptive Metropolis algorithm. Bernoulli 7(2), 223\u2013242 (2001)","journal-title":"Bernoulli"},{"issue":"4","key":"9516_CR17","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s11222-006-9438-0","volume":"16","author":"H Haario","year":"2006","unstructured":"Haario, H., Laine, M., Mira, A., Saksman, E.: Dram: efficient adaptive MCMC. Stat. Comput. 16(4), 339\u2013354 (2006)","journal-title":"Stat. Comput."},{"key":"9516_CR18","unstructured":"Handcock, M.S., Hunter, D.R., Butts, C.T., Goodreau, S.M., Morris, M.: Statnet: software tools for the representation, visualization, analysis and simulation of network data. J. Stat. Softw. 24(1):1\u201311, (2007) http:\/\/www.jstatsoft.org\/v24\/i01"},{"key":"9516_CR19","doi-asserted-by":"crossref","unstructured":"Hunter, D.R., Handcock, M.S., Butts, C.T., Goodreau, S.M., Morris, M.: Ergm: A package to fit, simulate and diagnose exponential-family models for networks. J. Stat. Softw. 24(3):1\u201329, (2008) http:\/\/www.jstatsoft.org\/v24\/i03","DOI":"10.18637\/jss.v024.i03"},{"key":"9516_CR20","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1198\/106186006X133069","volume":"15","author":"DR Hunter","year":"2006","unstructured":"Hunter, D.R., Handcock, M.S.: Inference in curved exponential family models for networks. J. Comput. Graph. Stat. 15, 565\u2013583 (2006)","journal-title":"J. Comput. Graph. Stat."},{"issue":"2","key":"9516_CR21","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1080\/00031305.1998.10480547","volume":"52","author":"RE Kass","year":"1998","unstructured":"Kass, R.E., Carlin, B.P., Gelman, A., Neal, R.M.: Markov chain Monte Carlo in practice: a roundtable discussion. Am. Stat. 52(2), 93\u2013100 (1998)","journal-title":"Am. Stat."},{"key":"9516_CR22","doi-asserted-by":"crossref","unstructured":"Koskinen, J.H., Robins, G.L., Pattison, P.E.: Analysing exponential random graph (p-star) models with missing data using Bayesian data augmentation. Stat. Methodol. 7(3), 366\u2013384 (2010)","DOI":"10.1016\/j.stamet.2009.09.007"},{"key":"9516_CR23","unstructured":"Mira, A.: On Metropolis\u2013Hastings algorithms with delayed rejection. Metron 59(3\u20134), 231\u2013241 (2001a)"},{"key":"9516_CR24","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1214\/ss\/1015346319","volume":"16","author":"A Mira","year":"2001","unstructured":"Mira, A.: Ordering and improving the performance of Monte Carlo Markov chains. Stat. Sci. 16, 340\u2013350 (2001b)","journal-title":"Stat. Sci."},{"key":"9516_CR25","unstructured":"Murray, I., Ghahramani, Z., MacKay, D.: MCMC for doubly-intractable distributions. In: Proceedings of the 22nd Annual Conference on Uncertainty in Artificial Intelligence (UAI-06), AUAI Press, Arlington (2006)"},{"issue":"12591","key":"9516_CR26","first-page":"319","volume":"98","author":"JF Padgett","year":"1993","unstructured":"Padgett, J.F., Ansell, C.K.: Robust action and the rise of the Medici, 14001434. Am. J. Sociol. 98(12591), 319 (1993)","journal-title":"Am. J. Sociol."},{"issue":"3","key":"9516_CR27","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1093\/biomet\/60.3.607","volume":"60","author":"P Peskun","year":"1973","unstructured":"Peskun, P.: Optimum Monte-Carlo sampling using Markov chains. Biometrika 60(3), 607\u2013612 (1973)","journal-title":"Biometrika"},{"issue":"2","key":"9516_CR28","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1006\/jmva.1994.1028","volume":"49","author":"GO Roberts","year":"1994","unstructured":"Roberts, G.O., Gilks, W.R.: Convergence of adaptive direction sampling. J. Multivar. Anal. 49(2), 287\u2013298 (1994)","journal-title":"J. Multivar. Anal."},{"issue":"1","key":"9516_CR29","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1214\/aoap\/1034625254","volume":"7","author":"GO Roberts","year":"1997","unstructured":"Roberts, G.O., Gelman, A., Gilks, W.R.: Weak convergence and optimal scaling of random walk Metropolis algorithms. Ann. Appl. Probab. 7(1), 110\u2013120 (1997)","journal-title":"Ann. Appl. Probab."},{"issue":"1","key":"9516_CR30","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1111\/1467-9868.00123","volume":"60","author":"GO Roberts","year":"1998","unstructured":"Roberts, G.O., Rosenthal, J.S.: Optimal scaling of discrete approximations to langevin diffusions. J. R. Stat. Soc. Ser. B 60(1), 255\u2013268 (1998)","journal-title":"J. R. Stat. Soc. Ser. B"},{"issue":"4","key":"9516_CR31","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1214\/ss\/1015346320","volume":"16","author":"GO Roberts","year":"2001","unstructured":"Roberts, G.O., Rosenthal, J.S.: Optimal scaling for various Metropolis\u2013Hastings algorithms. Stat. Sci. 16(4), 351\u2013367 (2001)","journal-title":"Stat. Sci."},{"key":"9516_CR32","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1239\/jap\/1183667414","volume":"44","author":"GO Roberts","year":"2007","unstructured":"Roberts, G.O., Rosenthal, J.S.: Coupling and ergodicity of adaptive Markov chain Monte Carlo algorithms. J. Appl. Probab. 44, 458\u2013475 (2007)","journal-title":"J. Appl. Probab."},{"issue":"2","key":"9516_CR33","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1198\/jcgs.2009.06134","volume":"18","author":"GO Roberts","year":"2009","unstructured":"Roberts, G.O., Rosenthal, J.S.: Examples of adaptive MCMC. J. Comput. Graph. Stat. 18(2), 349\u2013367 (2009)","journal-title":"J. Comput. Graph. Stat."},{"issue":"2","key":"9516_CR34","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.socnet.2006.08.003","volume":"29","author":"G Robins","year":"2007","unstructured":"Robins, G., Snijders, T., Wang, P., Handcock, M., Pattison, P.: Recent developments in exponential random graph ( $$p^*$$ p \u2217 ) models for social networks. Soc. Netw. 29(2), 192\u2013215 (2007)","journal-title":"Soc. Netw."},{"key":"9516_CR35","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1111\/j.1467-9531.2006.00176.x","volume":"36","author":"TAB Snijders","year":"2006","unstructured":"Snijders, T.A.B., Pattison, P.E., Robins, G.L., S, H.M.: New specifications for exponential random graph models. Soc. Methodol. 36, 99\u2013153 (2006)","journal-title":"Soc. Methodol."},{"issue":"4","key":"9516_CR36","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/s11222-008-9104-9","volume":"18","author":"CJ Braak ter","year":"2008","unstructured":"ter Braak, C.J., Vrugt, J.A.: Differential evolution Markov chain with snooker updater and fewer chains. Stat. Comput. 18(4), 435\u2013446 (2008)","journal-title":"Stat. Comput."},{"key":"9516_CR37","doi-asserted-by":"crossref","first-page":"1701","DOI":"10.1214\/aos\/1176325750","volume":"22","author":"L Tierney","year":"1994","unstructured":"Tierney, L.: Markov chains for exploring posterior distributions. Ann. Stat. 22, 1701\u20131728 (1994)","journal-title":"Ann. Stat."},{"key":"9516_CR38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aoap\/1027961031","volume":"8","author":"L Tierney","year":"1998","unstructured":"Tierney, L.: A note on Metropolis\u2013Hastings kernels for general state spaces. Ann. Appl. Probab. 8, 1\u20139 (1998)","journal-title":"Ann. Appl. Probab."},{"issue":"1718","key":"9516_CR39","doi-asserted-by":"crossref","first-page":"2507","DOI":"10.1002\/(SICI)1097-0258(19990915\/30)18:17\/18<2507::AID-SIM272>3.0.CO;2-J","volume":"18","author":"L Tierney","year":"1999","unstructured":"Tierney, L., Mira, A.: Some adaptive Monte Carlo methods for Bayesian inference. Stat. Med. 18(1718), 2507\u20132515 (1999)","journal-title":"Stat. Med."},{"key":"9516_CR40","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1086\/jar.33.4.3629752","volume":"33","author":"W Zachary","year":"1977","unstructured":"Zachary, W.: An information flow model for conflict and fission in small groups. J. Anthropol. Res. 33, 452\u2013473 (1977)","journal-title":"J. Anthropol. Res."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-014-9516-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11222-014-9516-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-014-9516-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,4]],"date-time":"2025-05-04T21:12:56Z","timestamp":1746393176000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11222-014-9516-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,27]]},"references-count":40,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["9516"],"URL":"https:\/\/doi.org\/10.1007\/s11222-014-9516-7","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,27]]}}}