{"id":"https://openalex.org/W2062591363","doi":"https://doi.org/10.1016/s0096-3003(99)00230-1","title":"Approximating the marginal likelihood estimate for models with random parameters","display_name":"Approximating the marginal likelihood estimate for models with random parameters","publication_year":2001,"publication_date":"2001-03-01","ids":{"openalex":"https://openalex.org/W2062591363","doi":"https://doi.org/10.1016/s0096-3003(99)00230-1","mag":"2062591363"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(99)00230-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00230-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112857690","display_name":"Bradley M. Bell","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bradley M. Bell","raw_affiliation_strings":["Department of Bioengineering, Applied Physics Laboratory, University of Washington, 1013 N.E. 40th Street, Box 355640, Seattle, WA 98195-5640, USA","Department of Bioengineering, Applied Physics Laboratory, University of Washington, 1013 N.E. 40th Street, Box 355640, Seattle, WA 98195-5640, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Bioengineering, Applied Physics Laboratory, University of Washington, 1013 N.E. 40th Street, Box 355640, Seattle, WA 98195-5640, USA","institution_ids":["https://openalex.org/I4210138199"]},{"raw_affiliation_string":"Department of Bioengineering, Applied Physics Laboratory, University of Washington, 1013 N.E. 40th Street, Box 355640, Seattle, WA 98195-5640, USA#TAB#","institution_ids":["https://openalex.org/I4210138199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112857690"],"corresponding_institution_ids":["https://openalex.org/I4210138199"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.7854,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.7376058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"119","issue":"1","first_page":"57","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7044258713722229},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.603015124797821},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5938799977302551},{"id":"https://openalex.org/keywords/marginal-likelihood","display_name":"Marginal likelihood","score":0.5405330657958984},{"id":"https://openalex.org/keywords/quasi-likelihood","display_name":"Quasi-likelihood","score":0.4836338758468628},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.4623291492462158},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4616618752479553},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.45286625623703003},{"id":"https://openalex.org/keywords/laplaces-method","display_name":"Laplace's method","score":0.4522167444229126},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4344598948955536},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36219117045402527},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.3432163894176483},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.3362012505531311},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30229634046554565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18192383646965027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17686349153518677},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.13250434398651123},{"id":"https://openalex.org/keywords/count-data","display_name":"Count data","score":0.11915305256843567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7044258713722229},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.603015124797821},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5938799977302551},{"id":"https://openalex.org/C95923904","wikidata":"https://www.wikidata.org/wiki/Q6760420","display_name":"Marginal likelihood","level":3,"score":0.5405330657958984},{"id":"https://openalex.org/C91025261","wikidata":"https://www.wikidata.org/wiki/Q7269460","display_name":"Quasi-likelihood","level":4,"score":0.4836338758468628},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.4623291492462158},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4616618752479553},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.45286625623703003},{"id":"https://openalex.org/C22243797","wikidata":"https://www.wikidata.org/wiki/Q2058297","display_name":"Laplace's method","level":3,"score":0.4522167444229126},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4344598948955536},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36219117045402527},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3432163894176483},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.3362012505531311},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30229634046554565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18192383646965027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17686349153518677},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.13250434398651123},{"id":"https://openalex.org/C33643355","wikidata":"https://www.wikidata.org/wiki/Q5176731","display_name":"Count data","level":3,"score":0.11915305256843567},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(99)00230-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00230-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W15349034","https://openalex.org/W331442585","https://openalex.org/W1526075880","https://openalex.org/W1594563152","https://openalex.org/W1972790352","https://openalex.org/W1993147091","https://openalex.org/W2027255954","https://openalex.org/W2043208049","https://openalex.org/W2055478050","https://openalex.org/W2057909768","https://openalex.org/W2063199553","https://openalex.org/W2064823563","https://openalex.org/W2068484625","https://openalex.org/W2088421586","https://openalex.org/W2095117927","https://openalex.org/W2116063176","https://openalex.org/W2122759946","https://openalex.org/W2142710921","https://openalex.org/W2167266655","https://openalex.org/W2334958735","https://openalex.org/W3015453256","https://openalex.org/W4239614637","https://openalex.org/W4256160900","https://openalex.org/W6666573845"],"related_works":["https://openalex.org/W4388397594","https://openalex.org/W2356093187","https://openalex.org/W164417758","https://openalex.org/W2550112186","https://openalex.org/W2132339668","https://openalex.org/W1976121415","https://openalex.org/W3120237715","https://openalex.org/W2186819079","https://openalex.org/W2794631075","https://openalex.org/W2510849479"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
