{"id":"https://openalex.org/W2026880956","doi":"https://doi.org/10.1007/s001800000029","title":"A Wiener Germ approximation of the noncentral chi square distribution and of its quantiles","display_name":"A Wiener Germ approximation of the noncentral chi square distribution and of its quantiles","publication_year":2000,"publication_date":"2000-07-01","ids":{"openalex":"https://openalex.org/W2026880956","doi":"https://doi.org/10.1007/s001800000029","mag":"2026880956"},"language":"en","primary_location":{"id":"doi:10.1007/s001800000029","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001800000029","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","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/A5060683861","display_name":"Spiridon Penev","orcid":"https://orcid.org/0000-0002-3669-0010"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Spiridon Penev","raw_affiliation_strings":["Department of Statistics, School of Mathematics, The University of New South Wales, 2052, Sydney, NSW, Australia","Department of Statistics, School of Mathematics, The University of New South Wales, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Mathematics, The University of New South Wales, 2052, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Department of Statistics, School of Mathematics, The University of New South Wales, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074675376","display_name":"Tenko Raykov","orcid":"https://orcid.org/0000-0002-8911-5116"},"institutions":[{"id":"https://openalex.org/I164389053","display_name":"Fordham University","ror":"https://ror.org/03qnxaf80","country_code":"US","type":"education","lineage":["https://openalex.org/I164389053"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tenko Raykov","raw_affiliation_strings":["Department of Psychology, Fordham University, New York, USA","Department of Psychology Fordham University New York USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, Fordham University, New York, USA","institution_ids":["https://openalex.org/I164389053"]},{"raw_affiliation_string":"Department of Psychology Fordham University New York USA","institution_ids":["https://openalex.org/I164389053"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.5726,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.6470018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"15","issue":"2","first_page":"219","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9825999736785889,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8574231863021851},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.7561109066009521},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.652741551399231},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5237935781478882},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.49329203367233276},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.4283531904220581},{"id":"https://openalex.org/keywords/spouges-approximation","display_name":"Spouge's approximation","score":0.4105852544307709},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.34111636877059937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3247758150100708},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.23400196433067322},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1962372362613678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8574231863021851},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.7561109066009521},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.652741551399231},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5237935781478882},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.49329203367233276},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.4283531904220581},{"id":"https://openalex.org/C62376455","wikidata":"https://www.wikidata.org/wiki/Q935210","display_name":"Spouge's approximation","level":3,"score":0.4105852544307709},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.34111636877059937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3247758150100708},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.23400196433067322},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1962372362613678},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001800000029","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001800000029","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1990601784","https://openalex.org/W1991567646","https://openalex.org/W2022631179","https://openalex.org/W2094817277","https://openalex.org/W2314297038","https://openalex.org/W2322523654","https://openalex.org/W2332041924","https://openalex.org/W2520204118"],"related_works":["https://openalex.org/W3033270823","https://openalex.org/W4239376463","https://openalex.org/W3134385662","https://openalex.org/W2508053318","https://openalex.org/W2063434557","https://openalex.org/W2049057641","https://openalex.org/W2286951941","https://openalex.org/W4242497599","https://openalex.org/W2989336776","https://openalex.org/W2026880956"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}