{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T23:14:51Z","timestamp":1787008491384,"version":"build-2736575974"},"reference-count":26,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,6,14]],"date-time":"2020-06-14T00:00:00Z","timestamp":1592092800000},"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":[[2020,12,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>Composite likelihood functions are often used for inference in applications where the data have a complex structure. While inference based on the composite likelihood can be more robust than inference based on the full likelihood, the inference is not valid if the associated conditional or marginal models are misspecified. In this paper, we propose a general class of specification tests for composite likelihood inference. The test statistics are motivated by the fact that the second Bartlett identity holds for each component of the composite likelihood function when these components are correctly specified. We construct the test statistics based on the discrepancy between the so-called composite information matrix and the sensitivity matrix. As an illustration, we study three important cases of the proposed tests and establish their limiting distributions under both null and local alternative hypotheses. Finally, we evaluate the finite-sample performance of the proposed tests in several examples.<\/jats:p>","DOI":"10.1093\/biomet\/asaa039","type":"journal-article","created":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T15:13:03Z","timestamp":1588605183000},"page":"907-917","source":"Crossref","is-referenced-by-count":1,"title":["On specification tests for composite likelihood inference"],"prefix":"10.1093","volume":"107","author":[{"given":"Jing","family":"Huang","sequence":"first","affiliation":[{"name":"Department of Biostatistics, Epidemiology and Informatics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Ning","sequence":"additional","affiliation":[{"name":"Department of Statistics and Data Science, Cornell University, Comstock Hall 1188, Ithaca, New York 14853, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nancy","family":"Reid","sequence":"additional","affiliation":[{"name":"Department of Statistical Sciences, University of Toronto, Toronto M5S 3GS, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, Epidemiology and Informatics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2020,6,14]]},"reference":[{"key":"2020121116433840600_B1","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1111\/j.2517-6161.1974.tb00999.x","article-title":"Spatial interaction and the statistical analysis of lattice systems (with discussion)","volume":"36","author":"Besag,","year":"1974","journal-title":"J. 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