{"paper":{"title":"On quasi-infinitely divisible distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Lindner, Ken-iti Sato, Lei Pan","submitted_at":"2017-01-10T01:15:06Z","abstract_excerpt":"A quasi-infinitely divisible distribution on $\\mathbb{R}$ is a probability distribution whose characteristic function allows a L\\'evy-Khintchine type representation with a \"signed L\\'evy measure\", rather than a L\\'evy measure. Quasi-infinitely divisible distributions appear naturally in the factorization of infinitely divisible distributions. Namely, a distribution $\\mu$ is quasi-infinitely divisible if and only if there are two infinitely divisible distributions $\\mu_1$ and $\\mu_2$ such that $\\mu_1 \\ast \\mu = \\mu_2$. The present paper studies certain properties of quasi-infinitely divisible d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02400","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"}