{"id":"https://openalex.org/W4285728492","doi":"https://doi.org/10.1080/03610918.2022.2101064","title":"Ridge estimator in a mixed Poisson regression model","display_name":"Ridge estimator in a mixed Poisson regression model","publication_year":2022,"publication_date":"2022-07-18","ids":{"openalex":"https://openalex.org/W4285728492","doi":"https://doi.org/10.1080/03610918.2022.2101064"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2101064","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2101064","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072362751","display_name":"Ramajeyam Tharshan","orcid":"https://orcid.org/0000-0002-6112-2517"},"institutions":[{"id":"https://openalex.org/I111199411","display_name":"University of Peradeniya","ror":"https://ror.org/025h79t26","country_code":"LK","type":"education","lineage":["https://openalex.org/I111199411"]},{"id":"https://openalex.org/I198412587","display_name":"University of Jaffna","ror":"https://ror.org/02fwjgw17","country_code":"LK","type":"education","lineage":["https://openalex.org/I198412587"]}],"countries":["LK"],"is_corresponding":true,"raw_author_name":"Ramajeyam Tharshan","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka","Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka"],"raw_orcid":"https://orcid.org/0000-0002-6112-2517","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka","institution_ids":["https://openalex.org/I198412587"]},{"raw_affiliation_string":"Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka","institution_ids":["https://openalex.org/I111199411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053707725","display_name":"Pushpakanthie Wijekoon","orcid":"https://orcid.org/0000-0003-4242-1017"},"institutions":[{"id":"https://openalex.org/I111199411","display_name":"University of Peradeniya","ror":"https://ror.org/025h79t26","country_code":"LK","type":"education","lineage":["https://openalex.org/I111199411"]}],"countries":["LK"],"is_corresponding":false,"raw_author_name":"Pushpakanthie Wijekoon","raw_affiliation_strings":["Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka"],"raw_orcid":"https://orcid.org/0000-0003-4242-1017","affiliations":[{"raw_affiliation_string":"Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka","institution_ids":["https://openalex.org/I111199411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072362751"],"corresponding_institution_ids":["https://openalex.org/I111199411","https://openalex.org/I198412587"],"apc_list":null,"apc_paid":null,"fwci":2.0953,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88043958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"7","first_page":"3253","last_page":"3270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998999834060669,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998999834060669,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9876000285148621,"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":0.9807999730110168,"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/multicollinearity","display_name":"Multicollinearity","score":0.9373931884765625},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.657852292060852},{"id":"https://openalex.org/keywords/poisson-regression","display_name":"Poisson regression","score":0.6423242092132568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5998889803886414},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5661239624023438},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.5624827742576599},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.49118492007255554},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.4829827845096588},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4699205160140991},{"id":"https://openalex.org/keywords/variance-inflation-factor","display_name":"Variance inflation factor","score":0.46976184844970703},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06693604588508606},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.059708863496780396}],"concepts":[{"id":"https://openalex.org/C189285262","wikidata":"https://www.wikidata.org/wiki/Q1332350","display_name":"Multicollinearity","level":3,"score":0.9373931884765625},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.657852292060852},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.6423242092132568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5998889803886414},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5661239624023438},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.5624827742576599},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.49118492007255554},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.4829827845096588},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4699205160140991},{"id":"https://openalex.org/C152732102","wikidata":"https://www.wikidata.org/wiki/Q13434396","display_name":"Variance inflation factor","level":4,"score":0.46976184844970703},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06693604588508606},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.059708863496780396},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2022.2101064","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2101064","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/12","score":0.5400000214576721,"display_name":"Responsible consumption and production"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1973628995","https://openalex.org/W1988768206","https://openalex.org/W1993818816","https://openalex.org/W1999187230","https://openalex.org/W2001424819","https://openalex.org/W2014664653","https://openalex.org/W2020364685","https://openalex.org/W2021335009","https://openalex.org/W2044654355","https://openalex.org/W2047028564","https://openalex.org/W2070394662","https://openalex.org/W2139766869","https://openalex.org/W2181556329","https://openalex.org/W2314246804","https://openalex.org/W2342519913","https://openalex.org/W2396900654","https://openalex.org/W2551295779","https://openalex.org/W2903607238","https://openalex.org/W2957024489","https://openalex.org/W2997400926","https://openalex.org/W3022426365","https://openalex.org/W3170918636","https://openalex.org/W4214619648","https://openalex.org/W4255654339","https://openalex.org/W4256202811","https://openalex.org/W6888975773"],"related_works":["https://openalex.org/W3118641393","https://openalex.org/W288566741","https://openalex.org/W3188410990","https://openalex.org/W2471082825","https://openalex.org/W2359681738","https://openalex.org/W3173001634","https://openalex.org/W2290706096","https://openalex.org/W2361408360","https://openalex.org/W2114737495","https://openalex.org/W3163084994"],"abstract_inverted_index":{"The":[0,18,43,60,153],"generalized":[1],"linear":[2],"model":[3,50,55,70,89],"approach":[4],"of":[5,33,45,62,76,117,149],"the":[6,31,34,39,63,67,74,81,86,115,118,121,147,150,160,166],"mixed":[7],"Poisson":[8],"regression":[9,28,49,69,83,88,125,163],"models":[10],"(MPRM)":[11],"is":[12,23,51,71],"suitable":[13],"for":[14,66,85],"over-dispersed":[15],"count":[16],"data.":[17],"maximum":[19],"likelihood":[20],"estimator":[21],"(MLE)":[22],"adopted":[24],"to":[25,90,101,113,145],"estimate":[26,102],"their":[27,129],"coefficients.":[29],"However,":[30],"variance":[32,61],"MLE":[35,65,119,167],"becomes":[36],"high":[37,72],"when":[38,168],"covariates":[40],"are":[41],"collinear.":[42],"Poisson-Modification":[44],"Quasi":[46],"Lindley":[47],"(PMQL)":[48],"a":[52,138,142],"recently":[53],"introduced":[54],"as":[56],"an":[57,93],"alternative":[58],"MPRM.":[59],"proposed":[64],"PMQL":[68,87,123,161],"in":[73],"presence":[75],"multicollinearity.":[77],"This":[78],"paper":[79],"adopts":[80],"ridge":[82,104,124,162],"method":[84],"combat":[91],"such":[92],"issue,":[94],"and":[95,120,141,155],"we":[96,136],"use":[97],"several":[98],"notable":[99],"methods":[100],"its":[103],"parameter.":[105],"A":[106],"Monte":[107],"Carlo":[108],"simulation":[109,151,154],"study":[110],"was":[111],"designed":[112],"evaluate":[114],"performance":[116],"different":[122],"estimators":[126,164],"by":[127],"using":[128],"scalar":[130],"mean":[131],"square":[132],"(SMSE)":[133],"values.":[134],"Further,":[135],"analyzed":[137],"simulated":[139],"data":[140],"real-life":[143],"applications":[144,156],"show":[146],"consistency":[148],"results.":[152],"results":[157],"indicate":[158],"that":[159],"dominate":[165],"multicollinearity":[169],"exists.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
