{"id":"https://openalex.org/W3013726356","doi":"https://doi.org/10.1080/03610918.2020.1741623","title":"A new family of heavy tailed distributions with an application to the heavy tailed insurance loss data","display_name":"A new family of heavy tailed distributions with an application to the heavy tailed insurance loss data","publication_year":2020,"publication_date":"2020-03-23","ids":{"openalex":"https://openalex.org/W3013726356","doi":"https://doi.org/10.1080/03610918.2020.1741623","mag":"3013726356"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2020.1741623","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1741623","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"],"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/A5100746143","display_name":"Zubair Ahmad","orcid":"https://orcid.org/0000-0003-3782-4081"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Zubair Ahmad","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"raw_orcid":"https://orcid.org/0000-0003-3782-4081","affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016100241","display_name":"Eisa Mahmoudi","orcid":"https://orcid.org/0000-0001-6109-7342"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Eisa Mahmoudi","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6109-7342","affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041506245","display_name":"Sanku Dey","orcid":"https://orcid.org/0000-0002-6900-8233"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sanku Dey","raw_affiliation_strings":["Department of Statistics, St. Anthony\u2019s College, Shillong, India","Department of Statistics, St. Anthony's College, Shillong, India"],"raw_orcid":"https://orcid.org/0000-0002-6900-8233","affiliations":[{"raw_affiliation_string":"Department of Statistics, St. Anthony\u2019s College, Shillong, India","institution_ids":[]},{"raw_affiliation_string":"Department of Statistics, St. Anthony's College, Shillong, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016100241"],"corresponding_institution_ids":["https://openalex.org/I112536369"],"apc_list":null,"apc_paid":null,"fwci":3.5966,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.93979634,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"51","issue":"8","first_page":"4372","last_page":"4395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9966999888420105,"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"}},{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.7434096932411194},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7186084985733032},{"id":"https://openalex.org/keywords/heavy-tailed-distribution","display_name":"Heavy-tailed distribution","score":0.6789513230323792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5327902436256409},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.48561444878578186},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.44999492168426514},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4422205686569214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3811786472797394},{"id":"https://openalex.org/keywords/actuarial-science","display_name":"Actuarial science","score":0.3675996661186218},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.3478005528450012},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.18639886379241943}],"concepts":[{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.7434096932411194},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7186084985733032},{"id":"https://openalex.org/C1602530","wikidata":"https://www.wikidata.org/wiki/Q1472677","display_name":"Heavy-tailed distribution","level":3,"score":0.6789513230323792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5327902436256409},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.48561444878578186},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.44999492168426514},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4422205686569214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3811786472797394},{"id":"https://openalex.org/C162118730","wikidata":"https://www.wikidata.org/wiki/Q1128453","display_name":"Actuarial science","level":1,"score":0.3675996661186218},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3478005528450012},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.18639886379241943}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2020.1741623","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1741623","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1530335070","https://openalex.org/W1589112945","https://openalex.org/W1964366808","https://openalex.org/W1975527973","https://openalex.org/W1983874169","https://openalex.org/W1994485761","https://openalex.org/W1999420502","https://openalex.org/W2007332462","https://openalex.org/W2028202351","https://openalex.org/W2061343954","https://openalex.org/W2074154843","https://openalex.org/W2084361475","https://openalex.org/W2112717751","https://openalex.org/W2160262259","https://openalex.org/W2263958071","https://openalex.org/W2766093083","https://openalex.org/W2802842333","https://openalex.org/W2935925294","https://openalex.org/W6629261420"],"related_works":["https://openalex.org/W2380270743","https://openalex.org/W1987104956","https://openalex.org/W3023748066","https://openalex.org/W4288820817","https://openalex.org/W4297682674","https://openalex.org/W1430174254","https://openalex.org/W2338456390","https://openalex.org/W4310743544","https://openalex.org/W2351259614","https://openalex.org/W4327855162"],"abstract_inverted_index":{"Heavy":[0],"tailed":[1,55,66,81,149],"distributions":[2,20,67],"play":[3],"very":[4],"significant":[5],"role":[6],"in":[7,86],"the":[8,18,74,93,108,143],"study":[9,102,131],"of":[10,53,60,64,73,92,110,142],"actuarial":[11,115,135],"and":[12,33,122],"financial":[13,42],"risk":[14,43,121,126],"management":[15],"data":[16,25,39,152],"but":[17],"probability":[19],"proposed":[21,75,144],"to":[22,37,41,106,146],"model":[23,83,94,145],"such":[24,117],"are":[26,68,96,127],"scanty.":[27],"Actuaries":[28],"often":[29],"search":[30],"for":[31],"new":[32,51,62,79],"appropriate":[34],"statistical":[35],"models":[36],"address":[38],"related":[40],"problems.":[44],"In":[45],"this":[46,61],"work,":[47],"we":[48],"propose":[49],"a":[50,78,147],"family":[52,63],"heavy":[54,65,80,148],"distributions.":[56],"Some":[57],"basic":[58],"properties":[59],"obtained.":[69,97],"A":[70,98,129],"special":[71],"sub-model":[72],"family,":[76],"called":[77],"Weibull":[82],"is":[84,103,137,154],"considered":[85],"detail.":[87],"The":[88],"maximum":[89],"likelihood":[90],"estimators":[91],"parameters":[95],"Monte":[99],"Carlo":[100],"simulation":[101,130],"carried":[104],"out":[105],"evaluate":[107],"performance":[109],"these":[111,134],"estimators.":[112],"Furthermore,":[113],"some":[114],"measures":[116,136],"as":[118],"value":[119,124],"at":[120,125],"tail":[123],"calculated.":[128],"based":[132],"on":[133],"done.":[138],"Finally,":[139],"an":[140],"application":[141],"insurance":[150],"loss":[151],"set":[153],"presented.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}