{"id":"https://openalex.org/W4315864385","doi":"https://doi.org/10.1080/02331888.2023.2168004","title":"New closed form estimators for a bivariate gamma distribution","display_name":"New closed form estimators for a bivariate gamma distribution","publication_year":2023,"publication_date":"2023-01-02","ids":{"openalex":"https://openalex.org/W4315864385","doi":"https://doi.org/10.1080/02331888.2023.2168004"},"language":"en","primary_location":{"id":"doi:10.1080/02331888.2023.2168004","doi":"https://doi.org/10.1080/02331888.2023.2168004","is_oa":false,"landing_page_url":"https://doi.org/10.1080/02331888.2023.2168004","pdf_url":null,"source":{"id":"https://openalex.org/S73550732","display_name":"Statistics","issn_l":"0233-1888","issn":["0233-1888","1026-7786","1029-4910"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","cwts-core","doyens","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics","raw_type":"journal-article"},"volume":null,"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/A5043943340","display_name":"Victor Mooto Nawa","orcid":"https://orcid.org/0000-0001-6019-7325","observed_orcids":["https://orcid.org/0000-0001-6019-7325"]},"institutions":[{"id":"https://openalex.org/I33278361","display_name":"University of Zambia","ror":"https://ror.org/03gh19d69","country_code":"ZM","type":"education","lineage":["https://openalex.org/I33278361"]}],"countries":["ZM"],"is_corresponding":false,"raw_author_name":"Victor Mooto Nawa","raw_affiliation_strings":["Department of Mathematics, University of Zambia, Lusaka, Zambia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Zambia, Lusaka, Zambia","institution_ids":["https://openalex.org/I33278361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012321564","display_name":"Saralees Nadarajah","orcid":"https://orcid.org/0000-0002-0481-0372","observed_orcids":["https://orcid.org/0000-0002-0481-0372","https://orcid.org/0000-0001-7763-5862"]},"institutions":[{"id":"https://openalex.org/I137853757","display_name":"Howard University","ror":"https://ror.org/05gt1vc06","country_code":"US","type":"education","lineage":["https://openalex.org/I137853757"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Saralees Nadarajah","raw_affiliation_strings":["Department of Mathematics, Howard University, Washington, DC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Howard University, Washington, DC, USA","institution_ids":["https://openalex.org/I137853757"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012321564"],"corresponding_institution_ids":["https://openalex.org/I137853757"],"apc_list":null,"apc_paid":null,"fwci":1.4068,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8202911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"57","issue":"1","first_page":"150","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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/T13500","display_name":"Probability and Statistical Research","score":9.999999747378752e-05,"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":9.999999747378752e-05,"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/bivariate-gamma-distribution","display_name":"bivariate gamma distribution","score":0.9980000257492065},{"id":"https://openalex.org/keywords/closed-form-estimator","display_name":"closed-form estimator","score":0.9160000085830688},{"id":"https://openalex.org/keywords/asymptotic-variance","display_name":"asymptotic variance","score":0.7039999961853027},{"id":"https://openalex.org/keywords/asymptotic-covariance","display_name":"asymptotic covariance","score":0.9929999709129333},{"id":"https://openalex.org/keywords/method-of-moments-comparison","display_name":"method of moments comparison","score":0.6769999861717224},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.6399999856948853}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.9045038223266602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8775827884674072},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7704436779022217},{"id":"https://openalex.org/C68805675","wikidata":"https://www.wikidata.org/wiki/Q5422477","display_name":"Extremum estimator","level":4,"score":0.624874472618103},{"id":"https://openalex.org/C143791395","wikidata":"https://www.wikidata.org/wiki/Q475208","display_name":"M-estimator","level":3,"score":0.5243456959724426},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.523379921913147},{"id":"https://openalex.org/C42337464","wikidata":"https://www.wikidata.org/wiki/Q5532478","display_name":"Generalized gamma distribution","level":3,"score":0.4809698164463043},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.47848957777023315},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.47304052114486694},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.45518985390663147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3963896334171295},{"id":"https://openalex.org/C149717495","wikidata":"https://www.wikidata.org/wiki/Q117806","display_name":"Gamma distribution","level":2,"score":0.3740370273590088},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3461703658103943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07818394899368286}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/02331888.2023.2168004","doi":"https://doi.org/10.1080/02331888.2023.2168004","is_oa":false,"landing_page_url":"https://doi.org/10.1080/02331888.2023.2168004","pdf_url":null,"source":{"id":"https://openalex.org/S73550732","display_name":"Statistics","issn_l":"0233-1888","issn":["0233-1888","1026-7786","1029-4910"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","cwts-core","doyens","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1579369571","https://openalex.org/W2062845448","https://openalex.org/W2067163491","https://openalex.org/W2075314279","https://openalex.org/W2556498922","https://openalex.org/W2807914698","https://openalex.org/W3000588709","https://openalex.org/W3036851991","https://openalex.org/W3185596959","https://openalex.org/W4214661771","https://openalex.org/W4214752017","https://openalex.org/W4281385569"],"related_works":["https://openalex.org/W1995866098","https://openalex.org/W2038458359","https://openalex.org/W2900117068","https://openalex.org/W1997867537","https://openalex.org/W4378945371","https://openalex.org/W4382751340","https://openalex.org/W2035794266","https://openalex.org/W2039256243","https://openalex.org/W1977619534","https://openalex.org/W4315864385"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"Zhao,":[2],"Jang":[3],"and":[4,39,49],"Kim":[5],"[Journal":[6],"of":[7,51],"Multivariate":[8],"Analysis,":[9],"191,":[10],"2022,":[11],"article":[12],"number":[13],"105109],":[14],"we":[15],"propose":[16],"new":[17,27,55],"closed":[18],"form":[19],"estimators":[20,28,48,56],"for":[21],"a":[22],"bivariate":[23],"gamma":[24],"distribution.":[25],"The":[26,54],"are":[29],"simpler.":[30],"In":[31],"addition,":[32],"they":[33],"can":[34,57],"have":[35],"smaller":[36,40],"asymptotic":[37,41],"variances":[38],"covariances":[42],"compared":[43],"to":[44],"Zhao":[45],"et":[46],"al.'s":[47],"method":[50],"moments":[52],"estimators.":[53],"also":[58],"perform":[59],"better":[60],"in":[61],"real-data":[62],"applications.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2025-10-10T00:00:00"}
