{"id":"https://openalex.org/W4412092041","doi":"https://doi.org/10.3390/stats8030055","title":"Estimating the Ratio of Means in a Zero-Inflated Poisson Mixture Model","display_name":"Estimating the Ratio of Means in a Zero-Inflated Poisson Mixture Model","publication_year":2025,"publication_date":"2025-07-05","ids":{"openalex":"https://openalex.org/W4412092041","doi":"https://doi.org/10.3390/stats8030055"},"language":"en","primary_location":{"id":"doi:10.3390/stats8030055","doi":"https://doi.org/10.3390/stats8030055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats8030055","pdf_url":null,"source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stats","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/stats8030055","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030502010","display_name":"Michael Pearce","orcid":"https://orcid.org/0000-0002-9313-271X","observed_orcids":["https://orcid.org/0000-0002-9313-271X"]},"institutions":[{"id":"https://openalex.org/I55486353","display_name":"Reed College","ror":"https://ror.org/00a6ram87","country_code":"US","type":"education","lineage":["https://openalex.org/I55486353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Pearce","raw_affiliation_strings":["Department of Mathematics and Statistics, Reed College, 3203 SE Woodstock Blvd, Portland, OR 97202, USA"],"raw_orcid":"https://orcid.org/0000-0002-9313-271X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Reed College, 3203 SE Woodstock Blvd, Portland, OR 97202, USA","institution_ids":["https://openalex.org/I55486353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000972985","display_name":"Michael D. Perlman","orcid":"https://orcid.org/0000-0002-8970-1801","observed_orcids":["https://orcid.org/0000-0002-8970-1801"]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael D. Perlman","raw_affiliation_strings":["Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195, USA"],"raw_orcid":"https://orcid.org/0000-0003-3287-6616","affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1600,"currency":"CHF","value_usd":1930},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1930},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11586326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"3","first_page":"55","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9868000149726868,"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":0.9868000149726868,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.010300000198185444,"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":0.0015999999595806003,"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/ratio-of-means","display_name":"ratio of means","score":0.953000009059906},{"id":"https://openalex.org/keywords/zero-inflation","display_name":"excess zeros","score":0.6919999718666077},{"id":"https://openalex.org/keywords/expectation-maximization-algorithm","display_name":"expectation-maximization algorithm","score":0.7889999747276306},{"id":"https://openalex.org/keywords/standard-errors","display_name":"standard errors","score":0.7300000190734863},{"id":"https://openalex.org/keywords/observed-information-matrix","display_name":"observed information matrix","score":0.9919999837875366},{"id":"https://openalex.org/keywords/count-data","display_name":"count data","score":0.8460000157356262},{"id":"https://openalex.org/keywords/frigatebirds","display_name":"frigatebirds","score":0.9419999718666077}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7250856757164001},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6488927602767944},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.6388332843780518},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5181311964988708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.439973384141922},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4278199076652527},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3654938340187073},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.35416823625564575},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.11502125859260559},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05609884858131409},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.05571514368057251},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"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:10.3390/stats8030055","doi":"https://doi.org/10.3390/stats8030055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats8030055","pdf_url":null,"source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stats","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c9aa40c7214c48b6a0a16f4b7fb50f79","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/c9aa40c7214c48b6a0a16f4b7fb50f79","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Stats, Vol 8, Iss 3, p 55 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/stats8030055","doi":"https://doi.org/10.3390/stats8030055","is_oa":true,"landing_page_url":"https://doi.org/10.3390/stats8030055","pdf_url":null,"source":{"id":"https://openalex.org/S4210232718","display_name":"Stats","issn_l":"2571-905X","issn":["2571-905X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stats","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W26112474","https://openalex.org/W306662213","https://openalex.org/W1579271636","https://openalex.org/W1968322929","https://openalex.org/W1995994041","https://openalex.org/W2029761439","https://openalex.org/W2032732611","https://openalex.org/W2063199553","https://openalex.org/W2067342226","https://openalex.org/W2119634512","https://openalex.org/W2149914006","https://openalex.org/W2488983277","https://openalex.org/W2498094064"],"related_works":["https://openalex.org/W2509788866","https://openalex.org/W3121314510","https://openalex.org/W2350442714","https://openalex.org/W2503331259","https://openalex.org/W3134844154","https://openalex.org/W3096804274","https://openalex.org/W1590941618","https://openalex.org/W3200250056","https://openalex.org/W1975095546","https://openalex.org/W2150462512"],"abstract_inverted_index":{"The":[0,28,48,96],"problem":[1],"of":[2,6,9,109,119],"estimating":[3],"the":[4,7,61,69,86,112,117],"ratio":[5],"means":[8],"a":[10,39,93],"two-component":[11,87],"Poisson":[12,31,41,88],"mixture":[13,32,42,89],"model":[14,34,43,90,98],"is":[15,20,51,99],"considered,":[16],"when":[17],"each":[18],"component":[19],"subject":[21],"to":[22,53,101],"zero-inflation,":[23],"i.e.,":[24],"excess":[25],"zero":[26],"counts.":[27],"resulting":[29],"zero-inflated":[30],"(ZIPM)":[33],"can":[35],"be":[36],"viewed":[37],"as":[38],"three-component":[40],"with":[44],"one":[45],"degenerate":[46],"component.":[47],"EM":[49],"algorithm":[50],"applied":[52,100],"obtain":[54],"frequentist":[55],"estimators":[56],"and":[57,104],"their":[58],"standard":[59,83],"errors,":[60],"latter":[62],"determined":[63],"via":[64],"an":[65,74,79],"explicit":[66,80],"expression":[67,81],"for":[68,82],"observed":[70],"information":[71],"matrix.":[72],"As":[73],"intermediate":[75],"step,":[76],"we":[77],"derive":[78],"errors":[84],"in":[85],"(without":[91],"zero-inflation),":[92],"new":[94],"result.":[95],"ZIPM":[97],"simulated":[102],"data":[103,108],"real":[105],"ecological":[106],"count":[107],"frigatebirds":[110],"on":[111],"Coral":[113],"Sea":[114],"Islands":[115],"off":[116],"coast":[118],"Northeast":[120],"Australia.":[121]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}