{"id":"https://openalex.org/W4293435901","doi":"https://doi.org/10.1080/03610918.2022.2116646","title":"Confidence interval estimation for the difference and ratio of the means of two gamma distributions","display_name":"Confidence interval estimation for the difference and ratio of the means of two gamma distributions","publication_year":2022,"publication_date":"2022-08-29","ids":{"openalex":"https://openalex.org/W4293435901","doi":"https://doi.org/10.1080/03610918.2022.2116646"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2116646","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2116646","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Confidence_interval_estimation_for_the_difference_and_ratio_of_the_means_of_two_gamma_distributions/20713074","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012667482","display_name":"Yi Gao","orcid":"https://orcid.org/0009-0009-6766-0533"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yi Gao","raw_affiliation_strings":["Department of Biostatistics, University at Buffalo","Department of Biostatistics, University at Buffalo, Buffalo, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, University at Buffalo","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Biostatistics, University at Buffalo, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000532175","display_name":"Lili Tian","orcid":"https://orcid.org/0000-0003-4935-7484"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lili Tian","raw_affiliation_strings":["Department of Biostatistics, University at Buffalo","Department of Biostatistics, University at Buffalo, Buffalo, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, University at Buffalo","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Biostatistics, University at Buffalo, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000532175"],"corresponding_institution_ids":["https://openalex.org/I63190737"],"apc_list":null,"apc_paid":null,"fwci":0.9312,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7550254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"8","first_page":"3880","last_page":"3893"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9909999966621399,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bootstrapping","display_name":"Bootstrapping (finance)","score":0.9121510982513428},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.7589161396026611},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6678922772407532},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"Coverage probability","score":0.5768274068832397},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5308443307876587},{"id":"https://openalex.org/keywords/confidence-distribution","display_name":"Confidence distribution","score":0.5223782658576965},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5151073336601257},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.5132167339324951},{"id":"https://openalex.org/keywords/gamma-distribution","display_name":"Gamma distribution","score":0.49102210998535156},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.48528334498405457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47442927956581116},{"id":"https://openalex.org/keywords/generalized-gamma-distribution","display_name":"Generalized gamma distribution","score":0.4653490483760834},{"id":"https://openalex.org/keywords/robust-confidence-intervals","display_name":"Robust confidence intervals","score":0.4521810710430145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44081786274909973},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4301190674304962},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.41593942046165466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4126471281051636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20347267389297485},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.19277611374855042}],"concepts":[{"id":"https://openalex.org/C207609745","wikidata":"https://www.wikidata.org/wiki/Q4944086","display_name":"Bootstrapping (finance)","level":2,"score":0.9121510982513428},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.7589161396026611},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6678922772407532},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.5768274068832397},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5308443307876587},{"id":"https://openalex.org/C13662513","wikidata":"https://www.wikidata.org/wiki/Q5160087","display_name":"Confidence distribution","level":3,"score":0.5223782658576965},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5151073336601257},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.5132167339324951},{"id":"https://openalex.org/C149717495","wikidata":"https://www.wikidata.org/wiki/Q117806","display_name":"Gamma distribution","level":2,"score":0.49102210998535156},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.48528334498405457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47442927956581116},{"id":"https://openalex.org/C42337464","wikidata":"https://www.wikidata.org/wiki/Q5532478","display_name":"Generalized gamma distribution","level":3,"score":0.4653490483760834},{"id":"https://openalex.org/C66520545","wikidata":"https://www.wikidata.org/wiki/Q7353538","display_name":"Robust confidence intervals","level":3,"score":0.4521810710430145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44081786274909973},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4301190674304962},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.41593942046165466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4126471281051636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20347267389297485},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.19277611374855042},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/03610918.2022.2116646","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2116646","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:figshare.com:article/20713074","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Confidence_interval_estimation_for_the_difference_and_ratio_of_the_means_of_two_gamma_distributions/20713074","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"doi:10.6084/m9.figshare.20713074.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.20713074.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/20713074","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Confidence_interval_estimation_for_the_difference_and_ratio_of_the_means_of_two_gamma_distributions/20713074","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1826429910","https://openalex.org/W1967579825","https://openalex.org/W1970377549","https://openalex.org/W1978087298","https://openalex.org/W1989975749","https://openalex.org/W1991341797","https://openalex.org/W2002212084","https://openalex.org/W2002605781","https://openalex.org/W2020031691","https://openalex.org/W2026766975","https://openalex.org/W2027046148","https://openalex.org/W2062858315","https://openalex.org/W2111478657","https://openalex.org/W2123033778","https://openalex.org/W2138393952","https://openalex.org/W2147146607","https://openalex.org/W2326809886","https://openalex.org/W2520508254","https://openalex.org/W2526298724","https://openalex.org/W2551300962","https://openalex.org/W2589471818","https://openalex.org/W2612159777","https://openalex.org/W2790072024","https://openalex.org/W2913129662","https://openalex.org/W2978519185","https://openalex.org/W4230651318","https://openalex.org/W4235618618","https://openalex.org/W4248220546","https://openalex.org/W6841602619"],"related_works":["https://openalex.org/W2053310120","https://openalex.org/W2009541120","https://openalex.org/W3005777437","https://openalex.org/W1899429405","https://openalex.org/W1994671967","https://openalex.org/W2061902340","https://openalex.org/W3123770911","https://openalex.org/W1486964903","https://openalex.org/W2752065940","https://openalex.org/W2803404607"],"abstract_inverted_index":{"Gamma":[0],"distribution":[1],"is":[2],"widely":[3],"used":[4],"in":[5],"applied":[6],"fields":[7],"due":[8],"to":[9],"its":[10],"flexibility":[11],"of":[12,31,43,55],"accommodating":[13],"right-skewed":[14],"data.":[15],"This":[16],"article":[17],"explores":[18],"statistical":[19],"methods":[20,38,57],"for":[21,25,92],"constructing":[22],"confidence":[23,82],"intervals":[24,83],"both":[26],"the":[27,41,71,112],"difference":[28],"and":[29,50,60,88,106],"ratio":[30],"two":[32,100],"gamma":[33],"means.":[34],"We":[35],"propose":[36],"several":[37],"based":[39],"on":[40],"concepts":[42],"generalized":[44],"inference,":[45],"variance":[46],"estimates":[47],"recovery":[48],"(MOVER)":[49],"parametric":[51,78],"bootstrapping.":[52],"The":[53],"performances":[54],"proposed":[56,113],"are":[58,109],"evaluated":[59],"compared":[61],"via":[62],"a":[63],"comprehensive":[64],"simulation":[65],"study.":[66],"Simulation":[67],"results":[68],"show":[69],"that":[70,74],"hybrid":[72],"method":[73],"combines":[75],"MOVER":[76],"with":[77,84,95],"bootstrapping":[79],"can":[80],"provide":[81],"reasonable":[85],"coverage":[86],"probabilities":[87],"interval":[89],"lengths":[90],"even":[91],"parameter":[93],"settings":[94],"small":[96],"shape":[97],"parameters.":[98],"Finally,":[99],"real":[101],"data":[102],"examples":[103],"from":[104],"environmental":[105],"engineering":[107],"studies":[108],"analyzed":[110],"using":[111],"methods.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-06T06:45:51.903784","created_date":"2025-10-10T00:00:00"}
