{"id":"https://openalex.org/W2016457067","doi":"https://doi.org/10.1093/biomet/75.1.185","title":"On the Representation of a Density by an Edgeworth Series","display_name":"On the Representation of a Density by an Edgeworth Series","publication_year":1988,"publication_date":"1988-01-01","ids":{"openalex":"https://openalex.org/W2016457067","doi":"https://doi.org/10.1093/biomet/75.1.185","mag":"2016457067"},"language":"en","primary_location":{"id":"doi:10.1093/biomet/75.1.185","doi":"https://doi.org/10.1093/biomet/75.1.185","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/75.1.185","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},"volume":null,"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/A5073886567","display_name":"E. O. Balitskaya","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210141538","display_name":"State Marine Technical University of St. Petersburg","ror":"https://ror.org/03spdpm68","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210141538"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"E. O. BALITSKAYA","raw_affiliation_strings":["Leningrad Shipbuilding Institute 191008 Leningrad, U.S.S.R","Leningrad Shipbuilding Institute191008 Leningrad, U.S.S.R"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leningrad Shipbuilding Institute 191008 Leningrad, U.S.S.R","institution_ids":["https://openalex.org/I4210141538"]},{"raw_affiliation_string":"Leningrad Shipbuilding Institute191008 Leningrad, U.S.S.R","institution_ids":["https://openalex.org/I4210141538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071522482","display_name":"L. A. Zolotuhina","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210141538","display_name":"State Marine Technical University of St. Petersburg","ror":"https://ror.org/03spdpm68","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210141538"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"L. A. ZOLOTUHINA","raw_affiliation_strings":["Leningrad Shipbuilding Institute 191008 Leningrad, U.S.S.R","Leningrad Shipbuilding Institute191008 Leningrad, U.S.S.R"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leningrad Shipbuilding Institute 191008 Leningrad, U.S.S.R","institution_ids":["https://openalex.org/I4210141538"]},{"raw_affiliation_string":"Leningrad Shipbuilding Institute191008 Leningrad, U.S.S.R","institution_ids":["https://openalex.org/I4210141538"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210141538"],"apc_list":{"value":2724,"currency":"GBP","value_usd":3592},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.14868444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"75","issue":"1","first_page":"185","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.7354000210762024,"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":0.7354000210762024,"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"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.24400000274181366,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.008899999782443047,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/edgeworth-series","display_name":"Edgeworth series","score":0.9039999842643738},{"id":"https://openalex.org/keywords/density-approximation","display_name":"density approximation","score":0.7710000276565552},{"id":"https://openalex.org/keywords/truncated-series","display_name":"truncated series","score":0.7089999914169312},{"id":"https://openalex.org/keywords/skewness","display_name":"skewness","score":0.9440000057220459},{"id":"https://openalex.org/keywords/kurtosis","display_name":"kurtosis","score":1.0}],"concepts":[{"id":"https://openalex.org/C160817175","wikidata":"https://www.wikidata.org/wiki/Q5337942","display_name":"Edgeworth series","level":2,"score":0.9039996266365051},{"id":"https://openalex.org/C166963901","wikidata":"https://www.wikidata.org/wiki/Q287251","display_name":"Kurtosis","level":2,"score":0.9020944833755493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8933899402618408},{"id":"https://openalex.org/C122342681","wikidata":"https://www.wikidata.org/wiki/Q330828","display_name":"Skewness","level":2,"score":0.75072181224823},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7025170922279358},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5126020312309265},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.51133793592453},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4961188733577728},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.48839372396469116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.47496816515922546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45681747794151306},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23864495754241943},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/biomet/75.1.185","doi":"https://doi.org/10.1093/biomet/75.1.185","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/75.1.185","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"doi:10.2307/2336456","doi":"https://doi.org/10.2307/2336456","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2336456","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1989121183","https://openalex.org/W2033602836"],"related_works":["https://openalex.org/W4225568567","https://openalex.org/W1496883226","https://openalex.org/W4297337052","https://openalex.org/W2028605949","https://openalex.org/W4286378979","https://openalex.org/W2282665605","https://openalex.org/W3216026256","https://openalex.org/W3129919015","https://openalex.org/W4390742338","https://openalex.org/W2037499216"],"abstract_inverted_index":{"The":[0],"conditions":[1,26],"for":[2,14],"the":[3,10,28],"correct":[4],"approximation":[5],"of":[6,30],"a":[7,15,20,36],"density":[8],"by":[9],"truncated":[11],"Edgeworth":[12],"series":[13],"random":[16],"variable":[17],"given":[18],"in":[19],"finite":[21],"interval":[22],"are":[23],"found.":[24],"These":[25],"restrict":[27],"values":[29],"skewness":[31],"and":[32],"kurtosis":[33],"to":[34],"achieve":[35],"positive":[37],"approximating":[38],"function.":[39]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}