{"id":"https://openalex.org/W2786699314","doi":"https://doi.org/10.1109/icsrs.2017.8272864","title":"A unified expression of Gompertz and logistic curves and its discretization","display_name":"A unified expression of Gompertz and logistic curves and its discretization","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2786699314","doi":"https://doi.org/10.1109/icsrs.2017.8272864","mag":"2786699314"},"language":"en","primary_location":{"id":"doi:10.1109/icsrs.2017.8272864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsrs.2017.8272864","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 2nd International Conference on System Reliability and Safety (ICSRS)","raw_type":"proceedings-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/A5088171509","display_name":"Mitsuhiro Kimura","orcid":"https://orcid.org/0000-0002-0721-8382"},"institutions":[{"id":"https://openalex.org/I204291657","display_name":"Hosei University","ror":"https://ror.org/00bx6dj65","country_code":"JP","type":"education","lineage":["https://openalex.org/I204291657"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"M. Kimura","raw_affiliation_strings":["Faculty of Science & Engineering, Hosei University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science & Engineering, Hosei University, Tokyo, Japan","institution_ids":["https://openalex.org/I204291657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080639691","display_name":"S. Fujisawa","orcid":null},"institutions":[{"id":"https://openalex.org/I204291657","display_name":"Hosei University","ror":"https://ror.org/00bx6dj65","country_code":"JP","type":"education","lineage":["https://openalex.org/I204291657"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"S. Fujisawa","raw_affiliation_strings":["Faculty of Science & Engineering, Hosei University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science & Engineering, Hosei University, Tokyo, Japan","institution_ids":["https://openalex.org/I204291657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080609117","display_name":"Shinji Inoue","orcid":"https://orcid.org/0000-0002-8881-648X"},"institutions":[{"id":"https://openalex.org/I56624758","display_name":"Kansai University","ror":"https://ror.org/03xg1f311","country_code":"JP","type":"education","lineage":["https://openalex.org/I56624758"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shinji Inoue","raw_affiliation_strings":["Faculty of Informatics Kansai University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics Kansai University, Osaka, Japan","institution_ids":["https://openalex.org/I56624758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088171509"],"corresponding_institution_ids":["https://openalex.org/I204291657"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27903091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":null,"first_page":"455","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.996399998664856,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.982699990272522,"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/gompertz-function","display_name":"Gompertz function","score":0.9102801084518433},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8616405725479126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6643410325050354},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6511704921722412},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.6470216512680054},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6141347885131836},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5645685791969299},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5292356014251709},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.4790838360786438},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45600426197052},{"id":"https://openalex.org/keywords/logistic-regression","display_name":"Logistic regression","score":0.450194388628006},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.4469812214374542},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4290272891521454},{"id":"https://openalex.org/keywords/growth-curve","display_name":"Growth curve (statistics)","score":0.42160695791244507},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41132837533950806},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33519142866134644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31542348861694336},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21033117175102234},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13948804140090942}],"concepts":[{"id":"https://openalex.org/C134463574","wikidata":"https://www.wikidata.org/wiki/Q1011785","display_name":"Gompertz function","level":2,"score":0.9102801084518433},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8616405725479126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643410325050354},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6511704921722412},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.6470216512680054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6141347885131836},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5645685791969299},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5292356014251709},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.4790838360786438},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45600426197052},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.450194388628006},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.4469812214374542},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4290272891521454},{"id":"https://openalex.org/C2776913854","wikidata":"https://www.wikidata.org/wiki/Q25345887","display_name":"Growth curve (statistics)","level":2,"score":0.42160695791244507},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41132837533950806},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33519142866134644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31542348861694336},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21033117175102234},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13948804140090942},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsrs.2017.8272864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsrs.2017.8272864","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 2nd International Conference on System Reliability and Safety (ICSRS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W28368734","https://openalex.org/W129305155","https://openalex.org/W1154994265","https://openalex.org/W1554758995","https://openalex.org/W2022262350","https://openalex.org/W2051737942","https://openalex.org/W2077861754","https://openalex.org/W2132504853","https://openalex.org/W2158345387","https://openalex.org/W2323174888","https://openalex.org/W4237306365","https://openalex.org/W6683369509"],"related_works":["https://openalex.org/W2258620904","https://openalex.org/W2375818740","https://openalex.org/W4225655150","https://openalex.org/W2365926066","https://openalex.org/W2955154510","https://openalex.org/W2767041282","https://openalex.org/W2594486655","https://openalex.org/W2360431227","https://openalex.org/W2351684296","https://openalex.org/W2898735989"],"abstract_inverted_index":{"In":[0,27,80],"this":[1],"study,":[2],"we":[3,40,84,96],"newly":[4],"propose":[5],"a":[6],"generalized":[7],"growth":[8,104],"curve":[9,25,105],"model":[10],"of":[11,20,53,66,101],"discrete":[12],"type,":[13],"which":[14],"is":[15,32],"based":[16],"on":[17],"the":[18,21,29,35,44,51,63,67,73,78,81,86,98,102,107],"property":[19,52],"Gompertz":[22],"and":[23,39,94],"logistic":[24],"models.":[26],"particular,":[28],"bi-linearization":[30],"technique":[31],"applied":[33],"to":[34,43,49,61],"basic":[36],"differential":[37],"equation,":[38],"discretize":[41],"it":[42],"difference":[45],"equations":[46],"so":[47],"as":[48],"hold":[50],"integrable":[54],"systems.":[55],"These":[56],"models":[57],"can":[58],"be":[59],"used":[60],"predict":[62],"future":[64],"behavior":[65],"time":[68],"series":[69],"data":[70,88],"by":[71,90],"estimating":[72],"constant":[74],"parameters":[75],"included":[76],"in":[77],"model.":[79],"numerical":[82],"examples,":[83],"analyze":[85],"actual":[87],"sets":[89],"using":[91],"our":[92],"model,":[93],"also":[95],"show":[97],"confidence":[99],"intervals":[100],"estimated":[103],"via":[106],"bootstrap":[108],"method.":[109]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
