{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,4]],"date-time":"2026-10-04T04:37:43Z","timestamp":1791088663874,"version":"4.1.0"},"reference-count":35,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2012,10,9]],"date-time":"2012-10-09T00:00:00Z","timestamp":1349740800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,3,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>The inspection of residuals is a fundamental step for investigating the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently proposed as an empirical counterpart of the Campbell equilibrium equation for marked Gibbs point processes. The paper focuses on stationary marked Gibbs point processes and deals with asymptotic properties of residuals for such processes. In particular, the consistency and the asymptotic normality are obtained for a wide class of residuals including the classical residuals (raw, inverse and Pearson). On the basis of these asymptotic results, we define goodness-of-fit tests with type I error theoretically controlled. One of these tests constitutes an extension of the quadrat counting test that is widely used to test the null hypothesis of a homogeneous Poisson point process.<\/jats:p>","DOI":"10.1111\/j.1467-9868.2012.01043.x","type":"journal-article","created":{"date-parts":[[2012,10,9]],"date-time":"2012-10-09T11:16:23Z","timestamp":1349781383000},"page":"247-276","source":"Crossref","is-referenced-by-count":15,"title":["Residuals and Goodness-of-Fit Tests for Stationary Marked Gibbs Point Processes"],"prefix":"10.1093","volume":"75","author":[{"given":"Jean-Fran\u00e7ois","family":"Coeurjolly","sequence":"first","affiliation":[{"name":"Universit\u00e9 Pierre Mendes France , Grenoble , France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fr\u00e9d\u00e9ric","family":"Lavancier","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Nantes , France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2012,10,9]]},"reference":[{"key":"2023031109352254300_","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4348-9","volume-title":"Statistical Models based on Counting Processes","author":"Andersen","year":"1993"},{"key":"2023031109352254300_","volume-title":"Plots, Transformations and Regression","author":"Atkinson","year":"1985"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1007\/s10463-007-0116-6","article-title":"Properties of residuals for spatial point processes","volume":"60","author":"Baddeley","year":"2008","journal-title":"Ann. Inst. Statist. Math."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1214\/11-STS367","article-title":"Score, pseudo-score and residual diagnostics for spatial point process models","volume":"26","author":"Baddeley","year":"2011","journal-title":"Statist. Sci."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1111\/1467-842X.00128","article-title":"Practical maximum pseudolikelihood for spatial point patterns (with discussion)","volume":"42","author":"Baddeley","year":"2000","journal-title":"Aust. New Zeal. J. Statist."},{"issue":"6","key":"2023031109352254300_","first-page":"1","article-title":"Modelling spatial point patterns in R","volume":"12","author":"Baddeley","year":"2005","journal-title":"J. Statist. Softwr."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1111\/j.1467-9868.2005.00519.x","article-title":"Residual analysis for spatial point processes (with discussion)","volume":"67","author":"Baddeley","year":"2005","journal-title":"J. R. Statist. Soc. B"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1239\/aap\/1029955249","article-title":"Existence of \u2018\u2018nearest-neighbour\u2019\u2019 Gibbs point models","volume":"31","author":"Bertin","year":"1999","journal-title":"Ann. Appl. Probab."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1214\/07-EJS160","article-title":"Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes","volume":"2","author":"Billiot","year":"2008","journal-title":"Electron. J. Statist."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1214\/aop\/1176993726","article-title":"On the central limit theorem for stationary mixing random fields","volume":"10","author":"Bolthausen","year":"1982","journal-title":"Ann. Probab."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1214\/09-EJS494","article-title":"Asymptotic properties of the maximum pseudo-likelihood estimator for stationary Gibbs point processes including the Lennard-Jones model","volume":"4","author":"Coeurjolly","year":"2010","journal-title":"Electron. J. Statist."},{"key":"2023031109352254300_","volume-title":"Research Report 2012-3","author":"Coeurjolly","year":"2012"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"608","DOI":"10.1239\/jap\/1032265209","article-title":"A central limit theorem for conditionally centred random fields with an application to Markov fields","volume":"35","author":"Comets","year":"1998","journal-title":"J. Appl. Probab."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2001-3","volume-title":"An Introduction to the Theory of Point Processes","author":"Daley","year":"1998"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s10955-005-7580-2","article-title":"Gibbs Delaunay tessellations with geometric hardcore condition","volume":"121","author":"Dereudre","year":"2005","journal-title":"J. Statist. Phys."},{"key":"2023031109352254300_","volume-title":"Existence of Gibbsian point processes with geometry-dependent interactions","author":"Dereudre","year":"2011"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"1368","DOI":"10.3150\/09-BEJ198","article-title":"Campbell equilibrium equation and pseudo-likelihood estimation for non-hereditary Gibbs point processes","volume":"15","author":"Dereudre","year":"2009","journal-title":"Bernoulli"},{"key":"2023031109352254300_","volume-title":"Statistical Analysis of Spatial Point Patterns","author":"Diggle","year":"2003"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1111\/j.2517-6161.1984.tb01290.x","article-title":"Monte Carlo methods of inference for implicit statistical models","volume":"46","author":"Diggle","year":"1984","journal-title":"J. R. Statist. Soc. B"},{"key":"2023031109352254300_","volume-title":"Counting Processes and Survival Analysis","author":"Fleming","year":"1991"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF01609410","article-title":"Canonical and grand canonical Gibbs states for continuum systems","volume":"48","author":"Georgii","year":"1976","journal-title":"Communs Math. Phys."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1093\/biomet\/asn045","article-title":"A goodness-of-fit test for inhomogeneous spatial Poisson processes","volume":"95","author":"Guan","year":"2008","journal-title":"Biometrika"},{"key":"2023031109352254300_","volume-title":"Statistical Analysis and Modelling of Spatial Point Patterns","author":"Illian","year":"2008"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/BF00773511","article-title":"On asymptotic normality of pseudo likelihood estimates of pairwise interaction processes","volume":"46","author":"Jensen","year":"1994","journal-title":"Ann. Inst. Statist. Math."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1214\/aoap\/1177005877","article-title":"Pseudolikelihood for exponential family models of spatial point processes","volume":"1","author":"Jensen","year":"1991","journal-title":"Ann. Appl. Probab."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1201\/9781420072884-c19","volume-title":"A Handbook of Spatial Statistics","author":"M\u00f8ller","year":"2010"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1239\/aap\/1331216644","article-title":"Transforming spatial point processes into Poisson processes using random superposition","volume":"44","author":"M\u00f8ller","year":"2012","journal-title":"Adv. Appl. Probab."},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1239\/aap\/1275055232","article-title":"Thinning spatial point processes into Poisson processes","volume":"42","author":"M\u00f8ller","year":"2010","journal-title":"Adv. Appl. Probab."},{"key":"2023031109352254300_","volume-title":"Statistical Inference and Simulation for Spatial Point Processes","author":"M\u00f8ller","year":"2004"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1002\/mana.19790880109","article-title":"Integral and differential characterizations Gibbs processes","volume":"88","author":"Nguyen","year":"1979","journal-title":"Math. Nacht."},{"key":"2023031109352254300_","first-page":"133","article-title":"Ergodic theorems for Spatial Process","volume":"48","author":"Nguyen","year":"1979","journal-title":"Probab. Theor. Reltd Flds"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0080563","volume-title":"Random Fields","author":"Preston","year":"1976"},{"key":"2023031109352254300_","volume-title":"Statistical Mechanics","author":"Ruelle","year":"1969"},{"key":"2023031109352254300_","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/mana.19911510108","article-title":"Second-order characteristics for stochastic structures connected with Gibbs point processes","volume":"151","author":"Stoyan","year":"1991","journal-title":"Math. Nacht."},{"key":"2023031109352254300_","volume-title":"Stochastic Geometry and Its Applications","author":"Stoyan","year":"1995"}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.1467-9868.2012.01043.x","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/75\/2\/247\/49510379\/jrsssb_75_2_247.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/75\/2\/247\/49510379\/jrsssb_75_2_247.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,30]],"date-time":"2024-04-30T04:27:14Z","timestamp":1714451234000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/75\/2\/247\/7075425"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,9]]},"references-count":35,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2012,10,9]]},"published-print":{"date-parts":[[2013,3,1]]}},"URL":"https:\/\/doi.org\/10.1111\/j.1467-9868.2012.01043.x","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2013,3]]},"published":{"date-parts":[[2012,10,9]]}}}