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Handling such a model is not probabilistically straightforward as the posterior has support on a manifold. We solve the relevant issues, building new probability and computational tools by using Hausdorff measures to analyse them on real and simulated data. These new methods, which involve simulating on a manifold, can be applied widely, including providing Bayesian analysis of quasi-likelihoods, linear and non-linear regression, missing data and hierarchical models.<\/jats:p>","DOI":"10.1111\/rssb.12294","type":"journal-article","created":{"date-parts":[[2018,10,24]],"date-time":"2018-10-24T06:33:21Z","timestamp":1540362801000},"page":"5-43","source":"Crossref","is-referenced-by-count":13,"title":["Moment Conditions and Bayesian Non-Parametrics"],"prefix":"10.1093","volume":"81","author":[{"given":"Luke","family":"Bornn","sequence":"first","affiliation":[{"name":"Harvard University , Cambridge , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Neil","family":"Shephard","sequence":"additional","affiliation":[{"name":"Simon Fraser University , Burnaby , Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Reza","family":"Solgi","sequence":"additional","affiliation":[{"name":"Simon Fraser University , Burnaby , Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,10,23]]},"reference":[{"key":"2023022002402481200_","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/0021-9991(83)90014-1","article-title":"Rattle: a velocity version of the shake algorithm for molecular dynamics calculations","volume":"52","author":"Anderson","year":"1983","journal-title":"J. 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