{"paper":{"title":"Quickest detection of a minimum of disorder times","license":"","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CE","authors_text":"Erhan Bayraktar, H. Vincent Poor","submitted_at":"2005-09-10T14:24:44Z","abstract_excerpt":"A multi-source quickest detection problem is considered. Assume there are two independent Poisson processes $X^{1}$ and $X^{2}$ with disorder times $\\theta_{1}$ and $\\theta_{2}$, respectively; that is, the intensities of $X^1$ and $X^2$ change at random unobservable times $\\theta_1$ and $\\theta_2$, respectively. $\\theta_1$ and $\\theta_2$ are independent of each other and are exponentially distributed. Define $\\theta \\triangleq \\theta_1 \\wedge \\theta_2=\\min\\{\\theta_{1},\\theta_{2}\\}$ . For any stopping time $\\tau$ that is measurable with respect to the filtration generated by the observations de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0509029","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cs/0509029/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}