{"id":"https://openalex.org/W1593200545","doi":"https://doi.org/10.3233/mas-2012-0231","title":"Bayesian credible intervals for the ratio of two independent poisson rates using data with under-reporting","display_name":"Bayesian credible intervals for the ratio of two independent poisson rates using data with under-reporting","publication_year":2012,"publication_date":"2012-04-09","ids":{"openalex":"https://openalex.org/W1593200545","doi":"https://doi.org/10.3233/mas-2012-0231","mag":"1593200545"},"language":"en","primary_location":{"id":"doi:10.3233/mas-2012-0231","is_oa":false,"landing_page_url":"https://doi.org/10.3233/mas-2012-0231","pdf_url":null,"source":{"id":"https://openalex.org/S2765066696","display_name":"Model Assisted Statistics and Applications","issn_l":"1574-1699","issn":["1574-1699","1875-9068"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Model Assisted Statistics and Applications","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/A5062869631","display_name":"Brandi A. Greer","orcid":null},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brandi A. Greer","raw_affiliation_strings":["Baylor University, Waco, TX, USA","Baylor University, Waco, TX USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baylor University, Waco, TX, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Baylor University, Waco, TX USA","institution_ids":["https://openalex.org/I157394403"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021543442","display_name":"Dean M. Young","orcid":null},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dean M. Young","raw_affiliation_strings":["Baylor University, Waco, TX, USA","Baylor University, Waco, TX USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baylor University, Waco, TX, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Baylor University, Waco, TX USA","institution_ids":["https://openalex.org/I157394403"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072493456","display_name":"Philip D. Young","orcid":null},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Philip D. Young","raw_affiliation_strings":["Baylor University, Waco, TX, USA","Baylor University, Waco, TX USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baylor University, Waco, TX, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Baylor University, Waco, TX USA","institution_ids":["https://openalex.org/I157394403"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072493456"],"corresponding_institution_ids":["https://openalex.org/I157394403"],"apc_list":null,"apc_paid":null,"fwci":0.3117,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58887747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"2","first_page":"131","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9986000061035156,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9986000061035156,"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":0.9919999837875366,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.991599977016449,"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/prior-probability","display_name":"Prior probability","score":0.8913898468017578},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7650957703590393},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6692413091659546},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.653579831123352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5835563540458679},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.5563727617263794},{"id":"https://openalex.org/keywords/credible-interval","display_name":"Credible interval","score":0.5221971869468689},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.48966270685195923},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.48591533303260803},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.4802039861679077}],"concepts":[{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.8913898468017578},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7650957703590393},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6692413091659546},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.653579831123352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5835563540458679},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5563727617263794},{"id":"https://openalex.org/C121117317","wikidata":"https://www.wikidata.org/wiki/Q4439221","display_name":"Credible interval","level":3,"score":0.5221971869468689},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.48966270685195923},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.48591533303260803},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.4802039861679077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/mas-2012-0231","is_oa":false,"landing_page_url":"https://doi.org/10.3233/mas-2012-0231","pdf_url":null,"source":{"id":"https://openalex.org/S2765066696","display_name":"Model Assisted Statistics and Applications","issn_l":"1574-1699","issn":["1574-1699","1875-9068"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Model Assisted Statistics and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1966992172","https://openalex.org/W1974225991","https://openalex.org/W1993411345","https://openalex.org/W2000290896","https://openalex.org/W2006432730","https://openalex.org/W2007503880","https://openalex.org/W2014497775","https://openalex.org/W2015721861","https://openalex.org/W2062514422","https://openalex.org/W2077729512","https://openalex.org/W2078817904","https://openalex.org/W2084982866","https://openalex.org/W2111825025","https://openalex.org/W2142259047","https://openalex.org/W2150384583","https://openalex.org/W2313515153","https://openalex.org/W2319326313","https://openalex.org/W2464912971","https://openalex.org/W2514183734","https://openalex.org/W2524790528","https://openalex.org/W2739916736","https://openalex.org/W2797356787","https://openalex.org/W2808075006"],"related_works":["https://openalex.org/W4283770175","https://openalex.org/W2964314781","https://openalex.org/W3006565005","https://openalex.org/W3087071515","https://openalex.org/W4287868071","https://openalex.org/W2611832276","https://openalex.org/W71678127","https://openalex.org/W69468016","https://openalex.org/W2007093222","https://openalex.org/W4205763938"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,52,84],"construct":[4],"Bayesian":[5,59,81],"credible":[6,49],"intervals":[7,50,60],"using":[8,29],"an":[9,25,33],"MCMC":[10],"method":[11],"for":[12,54,61,91,118],"the":[13,48,62,76,92,106,115,119,133],"ratio":[14,64,94,120],"of":[15,36,79,95,121],"two":[16,96],"independent":[17,97,122],"Poisson":[18,108,123],"rates":[19,109,124],"with":[20,125],"under-reported":[21,126],"data.":[22],"We":[23,68],"acquire":[24],"identifiable":[26],"model":[27,37,135],"by":[28],"informative":[30,102,129],"priors":[31,103,130],"on":[32,105,114,132],"adequate":[34],"number":[35],"parameters":[38],"to":[39,58,74],"confirm":[40],"that":[41,65,101],"a":[42,86,111],"considerable":[43],"difference":[44],"occu":[45],"rs":[46],"in":[47],"when":[51],"account":[53],"under-reporting":[55],"as":[56],"opposed":[57],"rate":[63,93],"omit":[66],"under-reporting.":[67],"also":[69],"employ":[70],"Monte":[71],"Carlo":[72],"simulations":[73],"examine":[75],"prior":[77],"robustness":[78],"our":[80],"intervals.":[82],"Additionally,":[83],"derive":[85],"closed":[87],"form":[88],"posterior":[89,116],"distribution":[90],"priors,":[98],"and":[99],"show":[100],"placed":[104,131],"primary":[107],"have":[110],"greater":[112],"effect":[113],"density":[117],"data":[127],"than":[128],"remaining":[134],"parameters.":[136]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}