{"id":"W778803061","doi":"10.1007/s11009-015-9453-8","title":"Number of Jumps in Two-Sided First-Exit Problems for a Compound Poisson Process","year":2015,"lang":"en","type":"article","venue":"Methodology And Computing In Applied Probability","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Laplace transform; Exponential function; Function (biology); Poisson distribution; Compound Poisson process; Random variable; Joint (building); Generating function; Combinatorics; Applied mathematics; Poisson process; Mathematical analysis; Statistics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":["metaresearch"],"category_scores_codex":[0.04166717,0.0002603706,0.001088343,0.0003026826,0.0001240762,0.00004663541,0.0006805446,0.0002471656,0.00001336682],"category_scores_gemma":[0.00886484,0.0002070539,0.00009469404,0.00129376,0.0006424362,0.0001148125,0.0003176728,0.0004155051,0.000006144606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007942851,"about_ca_system_score_gemma":0.0001806708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003920741,"about_ca_topic_score_gemma":0.001741917,"domain_scores_codex":[0.9944682,0.00173483,0.001627639,0.0011444,0.0004990479,0.0005259085],"domain_scores_gemma":[0.9858863,0.0124768,0.0004944438,0.0006425099,0.0003566649,0.0001432413],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00196309,0.001085494,0.7380455,0.0005885473,0.00002887565,0.000002900763,0.01726946,0.1295639,0.0001965245,0.0804597,0.000110573,0.0306854],"study_design_scores_gemma":[0.002262437,0.00007896464,0.02256049,0.00005330953,0.000009155792,0.00001427562,0.0005045305,0.04968192,0.0004403813,0.9240262,0.0001572008,0.0002111446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.85262,0.00009659424,0.1430922,0.000503584,0.0001612665,0.001651343,0.000006818756,0.00003782571,0.001830393],"genre_scores_gemma":[0.7822269,0.000002796129,0.2175329,0.00007310478,0.00002880924,0.0001116286,0.000003153067,0.0000093571,0.00001138287],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8435665,"threshold_uncertainty_score":0.9994839,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.4376154331022686,"score_gpt":0.4905851569572345,"score_spread":0.0529697238549659,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}