{"paper":{"title":"Parisian quasi-stationary distributions for asymmetric L\\'evy processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Irmina Czarna, Zbigniew Palmowski","submitted_at":"2014-04-13T11:01:03Z","abstract_excerpt":"In recent years there has been some focus on quasi-stationary behaviour of an one-dimensional L\\'evy process $X$, where we ask for the law $P(X_t\\in dy | \\tau^-_0>t)$ for $t\\to\\infty$ and $\\tau_0^-=\\inf\\{t\\geq 0: X_t<0\\}$. In this paper we address the same question for so-called Parisian ruin time $\\tau^\\theta$, that happens when process stays below zero longer than independent exponential random variable with intensity $\\theta$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3367","kind":"arxiv","version":2},"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"}