{"id":"https://openalex.org/W2061459904","doi":"https://doi.org/10.1109/tit.1968.1054080","title":"On the expansion of the bivariate Gaussian probability density using results of nonlinear theory (Corresp.)","display_name":"On the expansion of the bivariate Gaussian probability density using results of nonlinear theory (Corresp.)","publication_year":1968,"publication_date":"1968-01-01","ids":{"openalex":"https://openalex.org/W2061459904","doi":"https://doi.org/10.1109/tit.1968.1054080","mag":"2061459904"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054080","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5107840154","display_name":"James Russell Brown","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. Brown","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5107840154"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.15449608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"1","first_page":"158","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.5246999859809875,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.5246999859809875,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.7708529233932495},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6630212664604187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6165097951889038},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5914485454559326},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5743712186813354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45697295665740967},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39895033836364746},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3966885805130005},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16201484203338623},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05967870354652405}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7708529233932495},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6630212664604187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6165097951889038},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5914485454559326},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5743712186813354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45697295665740967},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39895033836364746},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3966885805130005},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16201484203338623},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05967870354652405}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054080","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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":3,"referenced_works":["https://openalex.org/W1520187819","https://openalex.org/W2019046861","https://openalex.org/W3120573875"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W2177739813","https://openalex.org/W2952760262","https://openalex.org/W2761997784","https://openalex.org/W2034996109","https://openalex.org/W1985633071","https://openalex.org/W2981669125"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"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"}