{"id":"https://openalex.org/W2079317592","doi":"https://doi.org/10.1007/s00607-002-1465-x","title":"A Method for Approximate Inversion of the Hyperbolic CDF","display_name":"A Method for Approximate Inversion of the Hyperbolic CDF","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2079317592","doi":"https://doi.org/10.1007/s00607-002-1465-x","mag":"2079317592"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-002-1465-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1465-x","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5083229856","display_name":"Gunther Leobacher","orcid":"https://orcid.org/0000-0002-7837-784X"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"G. Leobacher","raw_affiliation_strings":["Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz Austria e-mails: gunther.leobacher@jku.at friedrich.pillichshammer@jku.at, , , , , , AT","Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz Austria e-mails: gunther.leobacher@jku.at friedrich.pillichshammer@jku.at, , , , , , AT","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052381247","display_name":"Friedrich Pillichshammer","orcid":"https://orcid.org/0000-0001-6952-9218"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"F. Pillichshammer","raw_affiliation_strings":["Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz Austria e-mails: gunther.leobacher@jku.at friedrich.pillichshammer@jku.at, , , , , , AT","Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz Austria e-mails: gunther.leobacher@jku.at friedrich.pillichshammer@jku.at, , , , , , AT","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institut f\u00fcr Analysis Universit\u00e4t Linz Altenbergerstra\u00dfe 69 A-4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083229856"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5209,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.67204969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"4","first_page":"291","last_page":"303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9911999702453613,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9670000076293945,"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/logarithm","display_name":"Logarithm","score":0.7008731961250305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6576251983642578},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6431493759155273},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.6086487770080566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5389363169670105},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.519786536693573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4738260507583618},{"id":"https://openalex.org/keywords/inverse-transform-sampling","display_name":"Inverse transform sampling","score":0.44299203157424927},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42291632294654846},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4128875136375427},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2122603952884674},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.17913809418678284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14919814467430115},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14626088738441467},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.10444161295890808},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08828359842300415}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7008731961250305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6576251983642578},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6431493759155273},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.6086487770080566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5389363169670105},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.519786536693573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4738260507583618},{"id":"https://openalex.org/C143606050","wikidata":"https://www.wikidata.org/wiki/Q1377019","display_name":"Inverse transform sampling","level":3,"score":0.44299203157424927},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42291632294654846},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4128875136375427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2122603952884674},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.17913809418678284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14919814467430115},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14626088738441467},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.10444161295890808},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08828359842300415},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00607-002-1465-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1465-x","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.520.3418","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.520.3418","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.finanz.jku.at/uploads/tx_mypubl/hyper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W605688424","https://openalex.org/W1994858552","https://openalex.org/W2026227599","https://openalex.org/W2035237625","https://openalex.org/W2043419861","https://openalex.org/W2089603726","https://openalex.org/W2152828142","https://openalex.org/W3141915193"],"related_works":["https://openalex.org/W4318472270","https://openalex.org/W4378879993","https://openalex.org/W4377141943","https://openalex.org/W1946342668","https://openalex.org/W2939409110","https://openalex.org/W1974207849","https://openalex.org/W2382994547","https://openalex.org/W2528099681","https://openalex.org/W331218816","https://openalex.org/W3033270823"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
