{"paper":{"title":"Sharp estimates on the tail behavior of a multistable distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antoine Ayache","submitted_at":"2012-08-04T10:11:08Z","abstract_excerpt":"Multistable distributions, which have been introduced recently by Falconer, L\\'evy V\\'ehel and their co-authors, are natural generalizations of symmetric \"alpha\" stable distributions; roughly speaking, they are obtained by replacing the constant parameter \"alpha\" by a (Lebesgue) mesurable function. It is known that the tail of a symmetric \"alpha\" stable distribution asymptotically behaves as a power function with exponent \"-alpha\"; in this article we extend the latter result to the setting of multistable distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0911","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"}