{"paper":{"title":"Large Deviations for Processes on Half-Line: Random Walk and Compound Poisson","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"A.A. Mogulskii, F.C. Klebaner","submitted_at":"2016-10-29T08:30:56Z","abstract_excerpt":"We establish, under the Cramer exponential moment condition in a neighbourhood of zero, the Extended Large Deviation Principle for the Random Walk and the Compound Poisson processes in the metric space $\\V$ of functions of finite variation on $[0,\\infty)$ with the modified Borovkov metric $\\r(f,g)= \\r_\\B(\\hat{f},\\hat{g}) $, where $ \\hat f(t)= f(t)/(1+t)$, $t\\in \\R$, and $\\r_\\B$ is the Borovkov metric. LDP in this space is \"more precise\" than that with the usual metric of uniform convergence on compacts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09472","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}