{"public_id":"cl_3944f934632c67951aa8f28ccf559adc","status":"active","superseded_by_public_id":null,"corpus_id":127301255,"text":"Conditions for divergence of variance are obtained, and these conditions imply the tail index of the power-law-tailed cumulative probability distribution.","confidence":0.93,"paper":{"corpus_id":127301255,"title":"Random coefficient autoregressive processes and the PUCK model with fluctuating potential","url":"https://sah.borca.ai/papers/127301255"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.93,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_62046056e570f5f7d10e7650e3e5b461","name":"tail index","description":"A parameter characterizing the heaviness of the tail of a probability distribution.","types":["distribution parameter"],"url":"https://sah.borca.ai/concepts/co_62046056e570f5f7d10e7650e3e5b461"},{"public_id":"co_ae7ad7a3b7202dfd036dfdda20b730fc","name":"divergence of variance","description":"A regime in which the process variance becomes unbounded.","types":["statistical property"],"url":"https://sah.borca.ai/concepts/co_ae7ad7a3b7202dfd036dfdda20b730fc"},{"public_id":"co_f7a0c1b65d87d12677770641219bd33a","name":"power-law-tailed cumulative probability distribution","description":"A cumulative distribution whose tail decays according to a power law.","types":["distribution"],"url":"https://sah.borca.ai/concepts/co_f7a0c1b65d87d12677770641219bd33a"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_3944f934632c67951aa8f28ccf559adc"}