{"id":"https://openalex.org/W7214076007","doi":"https://doi.org/10.48550/arxiv.2609.26328","title":"A non-parametric estimator for excess recurrent events","display_name":"A non-parametric estimator for excess recurrent events","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214076007","doi":"https://doi.org/10.48550/arxiv.2609.26328"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.26328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26328","pdf_url":"https://arxiv.org/pdf/2609.26328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.26328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075202006","display_name":"Jonatan Hedberg","orcid":"https://orcid.org/0000-0001-9362-4020","observed_orcids":["https://orcid.org/0000-0001-9362-4020"]},"institutions":[{"id":"https://openalex.org/I28166907","display_name":"Karolinska Institutet","ror":"https://ror.org/056d84691","country_code":"SE","type":"education","lineage":["https://openalex.org/I28166907"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Hedberg, Jonatan","raw_affiliation_strings":["Department of Medical Epidemiology and Biostatistics , Karolinska Institutet , Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Epidemiology and Biostatistics , Karolinska Institutet , Stockholm , Sweden","institution_ids":["https://openalex.org/I28166907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129439673","display_name":"Ola H\u00f6ssjer","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"H\u00f6ssjer, Ola","raw_affiliation_strings":["Department of Mathematics , Stockholm University , Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Stockholm University , Stockholm , Sweden","institution_ids":["https://openalex.org/I161593684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152565655","display_name":"Caroline Nordenwall","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I28166907","display_name":"Karolinska Institutet","ror":"https://ror.org/056d84691","country_code":"SE","type":"education","lineage":["https://openalex.org/I28166907"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Nordenwall, Caroline","raw_affiliation_strings":["Department of Molecular Medicine and Surgery , Karolinska Institutet , Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Molecular Medicine and Surgery , Karolinska Institutet , Stockholm , Sweden","institution_ids":["https://openalex.org/I28166907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070073048","display_name":"Ther\u00e9se Andersson","orcid":"https://orcid.org/0000-0001-8644-9041","observed_orcids":["https://orcid.org/0000-0001-8644-9041"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andersson, Therese M-L","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041636902","display_name":"Elisavet Syriopoulou","orcid":"https://orcid.org/0000-0002-5749-4094","observed_orcids":["https://orcid.org/0000-0002-5749-4094"]},"institutions":[{"id":"https://openalex.org/I28166907","display_name":"Karolinska Institutet","ror":"https://ror.org/056d84691","country_code":"SE","type":"education","lineage":["https://openalex.org/I28166907"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Syriopoulou, Elisavet","raw_affiliation_strings":["Department of Medical Epidemiology and Biostatistics , Karolinska Institutet , Stockholm , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Epidemiology and Biostatistics , Karolinska Institutet , Stockholm , Sweden","institution_ids":["https://openalex.org/I28166907"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.41040000319480896,"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/T10136","display_name":"Statistical Methods and Inference","score":0.41040000319480896,"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/T13500","display_name":"Probability and Statistical Research","score":0.3075999915599823,"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/T14374","display_name":"Statistical Methods in Epidemiology","score":0.11320000141859055,"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/relative-survival","display_name":"relative survival","score":0.7979999780654907},{"id":"https://openalex.org/keywords/recurrent-events","display_name":"recurrent events","score":0.7260000109672546},{"id":"https://openalex.org/keywords/nonparametric-estimators","display_name":"nonparametric estimators","score":0.8650000095367432},{"id":"https://openalex.org/keywords/empirical-process-theory","display_name":"empirical process theory","score":0.75},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"weak convergence","score":0.7020000219345093},{"id":"https://openalex.org/keywords/gaussian-processes","display_name":"Gaussian processes","score":0.7649999856948853},{"id":"https://openalex.org/keywords/covariance-function-estimation","display_name":"covariance function estimation","score":0.8700000047683716},{"id":"https://openalex.org/keywords/disease-burden","display_name":"disease burden","score":0.8289999961853027},{"id":"https://openalex.org/keywords/hospitalization","display_name":"hospitalization","score":0.7210000157356262},{"id":"https://openalex.org/keywords/rectal-cancer","display_name":"rectal cancer","score":0.8420000076293945}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7605999708175659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6035000085830688},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5842000246047974},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.503000020980835},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.48350000381469727},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.39629998803138733},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3955000042915344},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3901999890804291},{"id":"https://openalex.org/C133939421","wikidata":"https://www.wikidata.org/wiki/Q6865379","display_name":"Minimax estimator","level":4,"score":0.3398999869823456},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C181243257","wikidata":"https://www.wikidata.org/wiki/Q1693522","display_name":"Sample mean and sample covariance","level":3,"score":0.31929999589920044},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.31119999289512634},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C164172150","wikidata":"https://www.wikidata.org/wiki/Q1782585","display_name":"Consistent estimator","level":4,"score":0.30219998955726624},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C72563966","wikidata":"https://www.wikidata.org/wiki/Q1303415","display_name":"Cohort","level":2,"score":0.2872999906539917},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.2840000092983246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2831999957561493},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C35594927","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficient estimator","level":4,"score":0.26899999380111694},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.2581999897956848},{"id":"https://openalex.org/C201903717","wikidata":"https://www.wikidata.org/wiki/Q1778788","display_name":"Cohort study","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25529998540878296},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C41020250","wikidata":"https://www.wikidata.org/wiki/Q17144114","display_name":"Trimmed estimator","level":5,"score":0.2535000145435333},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.2506999969482422}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.26328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26328","pdf_url":"https://arxiv.org/pdf/2609.26328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.26328","doi":"https://doi.org/10.48550/arxiv.2609.26328","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.26328","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.26328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26328","pdf_url":"https://arxiv.org/pdf/2609.26328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.8048999905586243,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214076007.pdf","grobid_xml":"https://content.openalex.org/works/W7214076007.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2069199001","https://openalex.org/W2108174062","https://openalex.org/W2162885909","https://openalex.org/W4362717709"],"related_works":["https://openalex.org/W7096915708","https://openalex.org/W1995227999","https://openalex.org/W2061918355","https://openalex.org/W64334101","https://openalex.org/W6939755540","https://openalex.org/W4280576650","https://openalex.org/W4390340178","https://openalex.org/W4320855161","https://openalex.org/W54702858","https://openalex.org/W1980230435"],"abstract_inverted_index":{"Measuring":[0],"disease":[1,18,37],"burden":[2],"is":[3,38],"an":[4],"important":[5],"part":[6],"of":[7,17,26,45,73,114],"both":[8],"public":[9],"health":[10,13],"research":[11],"and":[12,98,119],"economics.":[14],"Some":[15],"measures":[16],"burden,":[19],"such":[20],"as":[21],"hospitalisations,":[22],"are":[23,32],"made":[24],"up":[25],"recurrent":[27,49,75],"events.":[28,76],"Assessing":[29],"what":[30],"events":[31,50],"related":[33],"to":[34,48,69,88],"a":[35,53,89,100,121],"particular":[36],"however":[39],"non-trivial.":[40],"We":[41,107],"extend":[42],"the":[43,71,84,104,110,115],"notion":[44],"relative":[46],"survival":[47],"by":[51],"developing":[52],"novel":[54],"non-parametric":[55],"estimator.":[56],"The":[57],"estimator":[58,85,102,116],"combines":[59],"data":[60,68,125],"from":[61,126],"some":[62],"cohort":[63],"with":[64,129],"aggregated":[65],"population":[66],"level":[67],"estimate":[70],"number":[72],"excess":[74],"Using":[77],"empirical":[78],"process":[79,93],"theory,":[80],"we":[81],"show":[82],"that":[83],"converges":[86],"weakly":[87],"mean":[90],"zero":[91],"Gaussian":[92],"under":[94],"mild":[95],"regularity":[96],"conditions,":[97],"provide":[99,120],"consistent":[101],"for":[103],"covariance":[105],"function.":[106],"also":[108],"evaluate":[109],"finite":[111],"sample":[112],"properties":[113],"through":[117],"simulations":[118],"practical":[122],"example":[123],"using":[124],"Swedish":[127],"patients":[128],"rectal":[130],"cancer.":[131]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-24T00:00:00"}