{"id":"W4367353956","doi":"10.1214/22-bjps559","title":"Multivariate Birnbaum–Saunders distribution based on a skewed distribution and associated EM-estimation","year":2023,"lang":"en","type":"article","venue":"Brazilian Journal of Probability and Statistics","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Multivariate statistics; Fisher information; Statistics; Applied mathematics; Expectation–maximization algorithm; Scoring algorithm; Skew normal distribution; Restricted maximum likelihood; Estimation theory; Multivariate normal distribution; Generalization; Maximum likelihood sequence estimation; Multivariate stable distribution; Maximum likelihood; Algorithm; Normal distribution; Normal-Wishart distribution","routes":{"ca_aff":true,"ca_fund":false,"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":[],"category_scores_codex":[0.001317504,0.0001973638,0.0003428876,0.00007848052,0.0003252802,0.0001158654,0.00009621102,0.0001268471,0.00004651502],"category_scores_gemma":[0.01203998,0.0001800789,0.000060111,0.0004696524,0.0002399741,0.0001418152,0.00002817958,0.0002711458,0.00001237365],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001905652,"about_ca_system_score_gemma":0.0001190919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000489478,"about_ca_topic_score_gemma":0.00001234241,"domain_scores_codex":[0.9980064,0.0002692762,0.0007934994,0.0002423017,0.0004321013,0.0002563897],"domain_scores_gemma":[0.9967001,0.001849579,0.0005191868,0.0001804387,0.0005164329,0.0002342701],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001741852,0.0005381976,0.0007811671,0.0002917662,0.00005612344,0.00001327319,0.0002309143,0.0009114257,0.00006289955,0.9592207,0.01491778,0.02280154],"study_design_scores_gemma":[0.001085916,0.0002300163,0.1295236,0.000110355,0.00009244631,0.000009040571,0.00009543451,0.3732193,0.00002856929,0.4952404,0.0002056646,0.0001592119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04509287,0.000006300251,0.94616,0.001098894,0.00009729705,0.0003640003,0.007073164,0.00008063039,0.00002680968],"genre_scores_gemma":[0.9420657,0.00001474,0.05579788,0.00005914725,0.00002366476,0.00001955784,0.001964268,0.00001490626,0.00004010825],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8969728,"threshold_uncertainty_score":0.996282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05433609100516763,"score_gpt":0.3413947647018313,"score_spread":0.2870586736966637,"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."}}