{"id":"W2767066092","doi":"10.1016/j.jmva.2017.10.005","title":"The Laplace transform <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"mml1\" display=\"inline\" overflow=\"scroll\" altimg=\"si1.gif\"><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mo class=\"qopname\">det</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo class=\"qopname\">exp</mml:mo><mml:mi mathvariant=\"normal\">tr</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> and the existence of non-central Wishart distributions","year":2017,"lang":"lv","type":"article","venue":"Journal of Multivariate Analysis","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Wishart distribution; Order (exchange); Laplace transform; Combinatorics; Integer (computer science); Distribution (mathematics); Rank (graph theory); Computation; Discrete mathematics; Applied mathematics; Mathematical analysis; Algorithm; Statistics; Computer science; Multivariate 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","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.01228675,0.005187818,0.002475985,0.003508021,0.01056859,0.009482489,0.01296033,0.01162462,0.5301586],"category_scores_gemma":[0.01487606,0.009503733,0.0124476,0.006681853,0.01145549,0.008382033,0.009461692,0.01084217,0.004316398],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001793593,"about_ca_system_score_gemma":0.00790168,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01020682,"about_ca_topic_score_gemma":0.007846581,"domain_scores_codex":[0.9520197,0.003847511,0.01110566,0.008309239,0.01260986,0.01210801],"domain_scores_gemma":[0.9555958,0.01225947,0.01419075,0.00907291,0.001876974,0.007004089],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.01061435,0.002020611,0.00005292852,0.004153469,0.01424933,0.005763815,0.005652368,0.008042782,0.006218452,0.5454792,0.3903233,0.007429449],"study_design_scores_gemma":[0.01130503,0.006833399,0.0002772491,0.005327179,0.01718289,0.009451486,0.008798222,0.07981864,0.8386633,0.003627578,0.01030909,0.008405926],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3006251,0.007115053,0.01994638,0.004562452,0.01099041,0.0004264544,0.00562524,0.001288897,0.64942],"genre_scores_gemma":[0.9454768,0.009803961,0.01559047,0.004039498,0.008528415,0.005689838,0.00523301,0.004450629,0.001187352],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8324448,"threshold_uncertainty_score":0.9985496,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02439665450738931,"score_gpt":0.281442295723892,"score_spread":0.2570456412165027,"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."}}