{"id":"https://openalex.org/W4401368678","doi":"https://doi.org/10.1080/03610918.2024.2384561","title":"A new class of zero-truncated counting models and its application","display_name":"A new class of zero-truncated counting models and its application","publication_year":2024,"publication_date":"2024-08-06","ids":{"openalex":"https://openalex.org/W4401368678","doi":"https://doi.org/10.1080/03610918.2024.2384561"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2024.2384561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2024.2384561","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hull-repository.worktribe.com/file/4735643/1/Accepted%20manuscript","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113323076","display_name":"Xian-Ping Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian-Ping Tang","raw_affiliation_strings":["Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics","School of Mathematics and Statistics, Northwest Normal University","Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou, China","School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northwest Normal University","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou, China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079518086","display_name":"Yuzhu Tian","orcid":"https://orcid.org/0000-0002-6173-0985"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu-Zhu Tian","raw_affiliation_strings":["Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics","School of Mathematics and Statistics, Northwest Normal University","School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northwest Normal University","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033890936","display_name":"C.H. Wu","orcid":"https://orcid.org/0000-0003-1259-4048"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I47605537","display_name":"The Hang Seng University of Hong Kong","ror":"https://ror.org/04fa64g55","country_code":"CN","type":"education","lineage":["https://openalex.org/I47605537"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Chun-Ho Wu","raw_affiliation_strings":["School of Decision Science, The Hang Seng University of Hong Kong","School of Decision Science, The Hang Seng University of Hong Kong, Shatin, Hong Kong"],"affiliations":[{"raw_affiliation_string":"School of Decision Science, The Hang Seng University of Hong Kong","institution_ids":["https://openalex.org/I47605537","https://openalex.org/I889458895"]},{"raw_affiliation_string":"School of Decision Science, The Hang Seng University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I47605537","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014816129","display_name":"Yue Wang","orcid":"https://orcid.org/0000-0002-8618-9806"},"institutions":[{"id":"https://openalex.org/I4210086892","display_name":"Education University of Hong Kong","ror":"https://ror.org/000t0f062","country_code":"HK","type":"education","lineage":["https://openalex.org/I4210086892"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yue Wang","raw_affiliation_strings":["Department of Mathematics and Information Technology, The Education University of Hong Kong","Department of Mathematics and Information Technology, The Education University of Hong Kong, Tai Po, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Technology, The Education University of Hong Kong","institution_ids":["https://openalex.org/I4210086892"]},{"raw_affiliation_string":"Department of Mathematics and Information Technology, The Education University of Hong Kong, Tai Po, Hong Kong","institution_ids":["https://openalex.org/I4210086892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085010968","display_name":"Zhibao Mian","orcid":"https://orcid.org/0000-0003-0058-4467"},"institutions":[{"id":"https://openalex.org/I191240316","display_name":"University of Hull","ror":"https://ror.org/04nkhwh30","country_code":"GB","type":"education","lineage":["https://openalex.org/I191240316"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zhi-Bao Mian","raw_affiliation_strings":["School of Computer Science, University of Hull","School of Computer Science, University of Hull, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Hull","institution_ids":["https://openalex.org/I191240316"]},{"raw_affiliation_string":"School of Computer Science, University of Hull, United Kingdom","institution_ids":["https://openalex.org/I191240316"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079518086"],"corresponding_institution_ids":["https://openalex.org/I68986083"],"apc_list":null,"apc_paid":null,"fwci":0.6711,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74439697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"54","issue":"10","first_page":"4481","last_page":"4492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9639999866485596,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9469000101089478,"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/class","display_name":"Class (philosophy)","score":0.6434015035629272},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6318510174751282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5132765769958496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33269476890563965},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18982741236686707},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06601455807685852}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6434015035629272},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6318510174751282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5132765769958496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33269476890563965},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18982741236686707},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06601455807685852},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/03610918.2024.2384561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2024.2384561","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},{"id":"pmh:oai:hull-repository.worktribe.com:4735643","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/output/4735643","pdf_url":"https://hull-repository.worktribe.com/file/4735643/1/Accepted%20manuscript","source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:hull-repository.worktribe.com:4735643","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/output/4735643","pdf_url":"https://hull-repository.worktribe.com/file/4735643/1/Accepted%20manuscript","source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3744313044","display_name":null,"funder_award_id":"Social","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5815750561","display_name":null,"funder_award_id":"12061065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7174558747","display_name":null,"funder_award_id":"Group","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401368678.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2039993710","https://openalex.org/W2068728923","https://openalex.org/W2088669732","https://openalex.org/W2144813136","https://openalex.org/W2158780679","https://openalex.org/W2314916679","https://openalex.org/W2319510730","https://openalex.org/W2321746567","https://openalex.org/W2332545460","https://openalex.org/W2333269907","https://openalex.org/W2582743722","https://openalex.org/W2772575140","https://openalex.org/W2788822001","https://openalex.org/W2803109677","https://openalex.org/W2912684405","https://openalex.org/W2999937227","https://openalex.org/W3126894445","https://openalex.org/W4231810269"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Count":[0],"data":[1,6,23,27],"is":[2,45,140,166],"a":[3,39,147,199],"type":[4],"of":[5,11,18,50,98,107,125,149,172],"derived":[7],"from":[8],"the":[9,48,87,92,99,108,119,123,126,131,135,144,156,162,169,173,191,194],"number":[10],"times":[12],"an":[13],"event":[14],"occurs":[15],"per":[16],"unit":[17],"time,":[19],"and":[20,69,95,112,134,165],"zero-truncated":[21,41,174,204],"count":[22,26],"refers":[24],"to":[25,90,130,146,168,190,202],"without":[28],"zero,":[29],"which":[30,206],"often":[31],"appears":[32],"in":[33,214],"various":[34],"fields.":[35],"In":[36,83],"this":[37,215],"paper,":[38],"new":[40],"Bell":[42,51],"(ZTBell)":[43],"distribution":[44,158,180,196],"proposed":[46],"on":[47],"basis":[49],"distribution.":[52,177],"We":[53],"studied":[54],"its":[55],"statistical":[56,212],"properties,":[57],"exploring":[58],"methods":[59],"such":[60],"as":[61,76,78,118],"maximum":[62],"likelihood":[63,80],"estimation":[64],"(MLE),":[65],"expectation\u2013maximization":[66],"(EM)":[67],"algorithm,":[68],"minimization\u2013maximization":[70],"(MM)":[71],"algorithm":[72,111,114],"for":[73,211],"parameter":[74],"estimation,":[75],"well":[77],"conducting":[79],"ratio":[81],"tests.":[82],"addition,":[84],"we":[85,153],"used":[86],"Bootstrap":[88],"method":[89],"calculate":[91],"standard":[93],"errors":[94],"confidence":[96],"intervals":[97],"parameters.":[100],"The":[101],"simulation":[102],"results":[103,171],"found":[104,154],"that":[105,155],"all":[106],"MLE,":[109],"MM":[110],"EM":[113],"are":[115,128],"effective.":[116],"And,":[117],"sample":[120],"size":[121],"increases,":[122],"estimates":[124],"parameters":[127],"closer":[129],"true":[132],"values":[133],"root":[136],"mean":[137],"square":[138],"error":[139],"smaller.":[141],"Finally,":[142],"applying":[143],"model":[145],"set":[148],"factory":[150],"accident":[151],"data,":[152],"ZTBell":[157,179,195],"fits":[159],"better":[160],"than":[161],"other":[163,203],"models":[164],"close":[167],"fitting":[170],"generalized":[175],"Poisson":[176],"But":[178],"has":[181],"only":[182],"one":[183],"parameter,":[184],"so":[185],"it\u2019s":[186],"even":[187],"simpler":[188],"compared":[189],"latter.":[192],"Therefore,":[193],"can":[197],"be":[198],"good":[200],"alternative":[201],"distributions,":[205],"provides":[207],"more":[208],"options":[209],"available":[210],"analysis":[213],"domain.":[216]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
