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We also derive analytical solutions for the basic and effective reproduction numbers for the early stage of the discrete-time SIR spreading process for our temporal configuration model (TCM). We apply three distinct TCMs to empirical student proximity networks and compare their performance.<\/jats:p>","DOI":"10.1017\/nws.2025.10015","type":"journal-article","created":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T10:23:44Z","timestamp":1765448624000},"source":"Crossref","is-referenced-by-count":0,"title":["Temporal configuration model: Statistical inference and spreading processes"],"prefix":"10.1017","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2948-8778","authenticated-orcid":false,"given":"Thien Minh","family":"Le","sequence":"first","affiliation":[{"name":"University of Tennessee at Chattanooga"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hali","family":"Hambridge","sequence":"additional","affiliation":[{"name":"Harvard T.H. 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