{"id":"https://openalex.org/W2093945853","doi":"https://doi.org/10.1007/s11222-011-9260-1","title":"Estimation of parameters for trend-renewal processes","display_name":"Estimation of parameters for trend-renewal processes","publication_year":2011,"publication_date":"2011-06-03","ids":{"openalex":"https://openalex.org/W2093945853","doi":"https://doi.org/10.1007/s11222-011-9260-1","mag":"2093945853"},"language":"en","primary_location":{"id":"doi:10.1007/s11222-011-9260-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-011-9260-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-011-9260-1.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11222-011-9260-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051063153","display_name":"Alicja Jokiel-Rokita","orcid":"https://orcid.org/0000-0002-9552-6712"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Alicja Jokiel-Rokita","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wroc\u0142aw, Poland 50-370"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wroc\u0142aw, Poland 50-370","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066657561","display_name":"Ryszard Magiera","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ryszard Magiera","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wroc\u0142aw, Poland 50-370"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, 50-370, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Wroc\u0142aw University of Technology, Wroc\u0142aw, Poland 50-370","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051063153"],"corresponding_institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"],"apc_list":{"value":2090,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2090,"currency":"EUR","value_usd":2690},"fwci":0.62,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.76102804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"2","first_page":"625","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9980999827384949,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9973999857902527,"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/estimator","display_name":"Estimator","score":0.6746477484703064},{"id":"https://openalex.org/keywords/renewal-theory","display_name":"Renewal theory","score":0.6692044138908386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5696969628334045},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.5614824891090393},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5541962385177612},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.5207980871200562},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5008101463317871},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.49502700567245483},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.4591606855392456},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4353256821632385},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.4210100769996643},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41494399309158325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.314920037984848},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13430660963058472},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06907039880752563}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6746477484703064},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.6692044138908386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5696969628334045},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.5614824891090393},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5541962385177612},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5207980871200562},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5008101463317871},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.49502700567245483},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4591606855392456},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4353256821632385},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4210100769996643},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41494399309158325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.314920037984848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13430660963058472},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06907039880752563},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11222-011-9260-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-011-9260-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-011-9260-1.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11222-011-9260-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-011-9260-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-011-9260-1.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2093945853.pdf","grobid_xml":"https://content.openalex.org/works/W2093945853.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W173787822","https://openalex.org/W177109653","https://openalex.org/W636077486","https://openalex.org/W1499164964","https://openalex.org/W1524004264","https://openalex.org/W1975770532","https://openalex.org/W2002427843","https://openalex.org/W2051581768","https://openalex.org/W2076836388","https://openalex.org/W2095388707","https://openalex.org/W2109993473","https://openalex.org/W2319384619","https://openalex.org/W2517473813","https://openalex.org/W4292027009"],"related_works":["https://openalex.org/W3000984192","https://openalex.org/W137830373","https://openalex.org/W2013921918","https://openalex.org/W4286952477","https://openalex.org/W2134368299","https://openalex.org/W4321348134","https://openalex.org/W2103073163","https://openalex.org/W2019724159","https://openalex.org/W4255563003","https://openalex.org/W4280508323"],"abstract_inverted_index":{"Methods":[0],"of":[1,5,34,58,77],"estimating":[2,59],"unknown":[3,39],"parameters":[4],"a":[6,51],"trend":[7,61],"function":[8,21,33],"for":[9,87,91],"trend-renewal":[10,36,89],"processes":[11,90],"are":[12],"investigated":[13],"in":[14],"the":[15,18,25,31,35,42,60,78,93],"case":[16],"when":[17],"renewal":[19,26],"distribution":[20,27],"is":[22,28,38,84,96],"unknown.":[23],"If":[24],"unknown,":[29],"then":[30],"likelihood":[32,44],"process":[37],"and":[40],"consequently":[41],"maximum":[43],"method":[45],"cannot":[46],"be":[47,68],"used.":[48],"In":[49],"such":[50],"situation":[52],"we":[53],"propose":[54],"three":[55],"other":[56],"methods":[57,64,83],"parameters.":[62],"The":[63,75],"proposed":[65],"can":[66],"also":[67],"used":[69],"to":[70],"predict":[71],"future":[72],"occurrence":[73],"times.":[74],"performance":[76],"estimators":[79],"based":[80],"on":[81],"these":[82],"illustrated":[85],"numerically":[86],"some":[88],"which":[92],"statistical":[94],"inference":[95],"analytically":[97],"intractable.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}