{"id":"https://openalex.org/W4405407986","doi":"https://doi.org/10.18187/pjsor.v20i2.4554","title":"A new three-parameter discrete distribution to model over-dispersed count data","display_name":"A new three-parameter discrete distribution to model over-dispersed count data","publication_year":2024,"publication_date":"2024-06-05","ids":{"openalex":"https://openalex.org/W4405407986","doi":"https://doi.org/10.18187/pjsor.v20i2.4554"},"language":"en","primary_location":{"id":"doi:10.18187/pjsor.v20i2.4554","doi":"https://doi.org/10.18187/pjsor.v20i2.4554","is_oa":true,"landing_page_url":"https://doi.org/10.18187/pjsor.v20i2.4554","pdf_url":null,"source":{"id":"https://openalex.org/S2764549733","display_name":"Pakistan Journal of Statistics and Operation Research","issn_l":"1816-2711","issn":["1816-2711","2220-5810"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pakistan Journal of Statistics and Operation Research","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.18187/pjsor.v20i2.4554","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103861368","display_name":"Anupama Nandi","orcid":"https://orcid.org/0009-0006-3288-4324","observed_orcids":["https://orcid.org/0009-0006-3288-4324"]},"institutions":[{"id":"https://openalex.org/I64128412","display_name":"Dibrugarh University","ror":"https://ror.org/045kfbt16","country_code":"IN","type":"education","lineage":["https://openalex.org/I64128412"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anupama Nandi","raw_affiliation_strings":["Department of Statistics, Dibrugarh University, Assam, India"],"raw_orcid":"https://orcid.org/0009-0006-3288-4324","affiliations":[{"raw_affiliation_string":"Department of Statistics, Dibrugarh University, Assam, India","institution_ids":["https://openalex.org/I64128412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090400012","display_name":"Partha Jyoti Hazarika","orcid":"https://orcid.org/0000-0002-8370-9028","observed_orcids":["https://orcid.org/0000-0002-8370-9028"]},"institutions":[{"id":"https://openalex.org/I64128412","display_name":"Dibrugarh University","ror":"https://ror.org/045kfbt16","country_code":"IN","type":"education","lineage":["https://openalex.org/I64128412"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Partha Jyoti Hazarika","raw_affiliation_strings":["Department of Statistics, Dibrugarh University, Assam, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Dibrugarh University, Assam, India","institution_ids":["https://openalex.org/I64128412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042029582","display_name":"Aniket Biswas","orcid":"https://orcid.org/0000-0002-1711-2928","observed_orcids":["https://orcid.org/0000-0002-1711-2928"]},"institutions":[{"id":"https://openalex.org/I64128412","display_name":"Dibrugarh University","ror":"https://ror.org/045kfbt16","country_code":"IN","type":"education","lineage":["https://openalex.org/I64128412"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Aniket Biswas","raw_affiliation_strings":["Department of Statistics, Dibrugarh University, Assam, India"],"raw_orcid":"https://orcid.org/0000-0002-1711-2928","affiliations":[{"raw_affiliation_string":"Department of Statistics, Dibrugarh University, Assam, India","institution_ids":["https://openalex.org/I64128412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014425464","display_name":"Gholamhossein G. Hamedani","orcid":"https://orcid.org/0000-0001-7976-1088","observed_orcids":["https://orcid.org/0000-0001-7976-1088","https://orcid.org/0000-0002-4435-8595"]},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. G. Hamedani","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, Marquette University, Wisconsin, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, Marquette University, Wisconsin, U.S.A","institution_ids":["https://openalex.org/I102461120"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.982,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72961998,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"197","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9961000084877014,"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":0.9961000084877014,"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":0.003000000026077032,"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/T11720","display_name":"Probability and Risk Models","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/overdispersed-count-data","display_name":"overdispersed count data","score":0.9769999980926514},{"id":"https://openalex.org/keywords/count-data-modeling","display_name":"count data models","score":0.8489999771118164},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"conditional expectation","score":0.5609999895095825},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.9279999732971191},{"id":"https://openalex.org/keywords/generalized-linear-models","display_name":"generalized linear models","score":0.8709999918937683}],"concepts":[{"id":"https://openalex.org/C33643355","wikidata":"https://www.wikidata.org/wiki/Q5176731","display_name":"Count data","level":3,"score":0.8747562170028687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7938081622123718},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.6352159976959229},{"id":"https://openalex.org/C84181548","wikidata":"https://www.wikidata.org/wiki/Q7893853","display_name":"Univariate distribution","level":3,"score":0.619073748588562},{"id":"https://openalex.org/C178174526","wikidata":"https://www.wikidata.org/wiki/Q3711786","display_name":"Compound Poisson distribution","level":4,"score":0.5352357625961304},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5334739089012146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5123351812362671},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5118607878684998},{"id":"https://openalex.org/C165480597","wikidata":"https://www.wikidata.org/wiki/Q307557","display_name":"Beta-binomial distribution","level":4,"score":0.48041415214538574},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.4175625443458557},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.38555291295051575},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.24188825488090515},{"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/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.18187/pjsor.v20i2.4554","doi":"https://doi.org/10.18187/pjsor.v20i2.4554","is_oa":true,"landing_page_url":"https://doi.org/10.18187/pjsor.v20i2.4554","pdf_url":null,"source":{"id":"https://openalex.org/S2764549733","display_name":"Pakistan Journal of Statistics and Operation Research","issn_l":"1816-2711","issn":["1816-2711","2220-5810"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pakistan Journal of Statistics and Operation Research","raw_type":"journal-article"},{"id":"pmh:oai:ojs2.pjsor.com:article/4554","doi":null,"is_oa":true,"landing_page_url":"https://pjsor.com/pjsor/article/view/4554","pdf_url":"https://pjsor.com/pjsor/article/download/4554/1301","source":{"id":"https://openalex.org/S4306401256","display_name":"College of Statistical and Actuarial Sciences University of the Punjab Quaid-i-Azam Campus - Pakistan Journal of Statistics and Operation Research","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"10.18187/pjsor.v20i2","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.18187/pjsor.v20i2.4554","doi":"https://doi.org/10.18187/pjsor.v20i2.4554","is_oa":true,"landing_page_url":"https://doi.org/10.18187/pjsor.v20i2.4554","pdf_url":null,"source":{"id":"https://openalex.org/S2764549733","display_name":"Pakistan Journal of Statistics and Operation Research","issn_l":"1816-2711","issn":["1816-2711","2220-5810"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pakistan Journal of Statistics and Operation Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405407986.pdf","grobid_xml":"https://content.openalex.org/works/W4405407986.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W2007823757","https://openalex.org/W2018469879","https://openalex.org/W2022982503","https://openalex.org/W2029917072","https://openalex.org/W2032705774","https://openalex.org/W2032877371","https://openalex.org/W2038484934","https://openalex.org/W2049082138","https://openalex.org/W2053779188","https://openalex.org/W2058391474","https://openalex.org/W2060571012","https://openalex.org/W2067224571","https://openalex.org/W2068361661","https://openalex.org/W2112912314","https://openalex.org/W2146368895","https://openalex.org/W2156603653","https://openalex.org/W2257857722","https://openalex.org/W2461042751","https://openalex.org/W2474578441","https://openalex.org/W2515868110","https://openalex.org/W2551295779","https://openalex.org/W2609370467","https://openalex.org/W2903731864","https://openalex.org/W2954595562","https://openalex.org/W2955981323","https://openalex.org/W2960297100","https://openalex.org/W2963663302","https://openalex.org/W2997196679","https://openalex.org/W3014188766","https://openalex.org/W3105081376","https://openalex.org/W3175782841","https://openalex.org/W3194597720","https://openalex.org/W4393092180"],"related_works":["https://openalex.org/W4400256971","https://openalex.org/W7115066756","https://openalex.org/W4407984384","https://openalex.org/W4401798682","https://openalex.org/W4313598347","https://openalex.org/W4220655744","https://openalex.org/W2991033922","https://openalex.org/W4299603473","https://openalex.org/W4389576664","https://openalex.org/W1570034871"],"abstract_inverted_index":{"A":[0],"novel":[1],"discrete":[2],"distribution":[3,31,66,90,111,129],"with":[4],"three":[5],"parameters,":[6],"referred":[7],"to":[8],"as":[9,45,47],"the":[10,16,84,95,109,113,127],"PoiNB":[11,110],"distribution,":[12],"is":[13,91,124],"formulated":[14],"through":[15,112],"convolution":[17],"of":[18,55,64,69,83,87],"a":[19,103],"Poisson":[20],"variable":[21],"and":[22,38,72],"an":[23],"independently":[24],"distributed":[25],"negative":[26],"binomial":[27],"random":[28],"variable.":[29],"This":[30],"generalizes":[32],"some":[33],"well":[34,46],"known":[35],"count":[36,49,58,104,139],"distributions":[37],"can":[39],"be":[40],"used":[41],"for":[42,134],"modelling":[43,121,137],"over-dispersed":[44,138],"equi-dispersed":[48],"data.":[50,140],"Numerous":[51],"essential":[52],"statistical":[53],"properties":[54],"this":[56,65,88],"proposed":[57,89],"model":[59,106,116],"are":[60,77],"thoroughly":[61],"examined.":[62],"Characterizations":[63],"in":[67,79,136],"terms":[68],"conditional":[70],"expectation":[71],"reverse":[73],"hazard":[74],"rate":[75],"function":[76],"studied":[78],"detail.":[80],"The":[81],"estimation":[82,98],"unknown":[85],"parameters":[86],"carried":[92],"out":[93],"using":[94],"maximum":[96],"likelihood":[97],"approach.":[99,117],"Additionally,":[100],"we":[101],"introduce":[102],"regression":[105],"based":[107],"on":[108],"generalized":[114],"linear":[115],"Through":[118],"two":[119],"real-life":[120],"applications,":[122],"it":[123],"demonstrated":[125],"that":[126],"suggested":[128],"may":[130],"offer":[131],"practical":[132],"utility":[133],"practitioners":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-12-15T00:00:00"}