{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00107072,0.001239183,0.0007514428,0.001662881,0.0008379454,0.004154014,0.001930819,0.001738672,0.2586219],"category_scores_gemma":[0.006160067,0.0008146224,0.001347459,0.001965803,0.0009022845,0.004550946,0.001744673,0.002775519,0.1972141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001094348,"about_ca_system_score_gemma":0.001482483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005148506,"about_ca_topic_score_gemma":0.003701257,"domain_scores_codex":[0.9989219,0.0001675734,0.00006610458,0.0001665105,0.0005965502,0.00008135314],"domain_scores_gemma":[0.9985481,0.0004422837,0.00006829041,0.0002760742,0.0005872767,0.00007782233],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001817045,0.00008268884,0.000656803,0.0004602637,0.00003329887,0.0004967661,0.0005591297,0.006719396,0.01062533,0.2324062,0.5554772,0.1923011],"study_design_scores_gemma":[0.00005908088,0.00004391628,0.0007317189,0.000149232,0.00002372339,0.0005931832,0.0002451655,0.05509287,0.0205456,0.1160253,0.8063957,0.00009446187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002191489,0.000594328,0.7499782,0.002231499,0.001360293,0.000110926,0.008342496,0.02804898,0.2071417],"genre_scores_gemma":[0.08460057,0.002320441,0.4223906,0.002415819,0.001164274,0.0005123863,0.0259763,0.054527,0.4060927],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.2586219,"threshold_uncertainty_score":0.8651766,"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."}}