{"id":"https://openalex.org/W2235249428","doi":"https://doi.org/10.1080/03610918.2015.1088024","title":"The McDonald Gompertz distribution: Properties and applications","display_name":"The McDonald Gompertz distribution: Properties and applications","publication_year":2015,"publication_date":"2015-10-15","ids":{"openalex":"https://openalex.org/W2235249428","doi":"https://doi.org/10.1080/03610918.2015.1088024","mag":"2235249428"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2015.1088024","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1088024","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/A5030428882","display_name":"Rasool Roozegar","orcid":"https://orcid.org/0000-0001-6530-8629"},"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":"Rasool Roozegar","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"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/A5054325728","display_name":"Saeid Tahmasebi","orcid":"https://orcid.org/0000-0003-4025-6791"},"institutions":[{"id":"https://openalex.org/I90767664","display_name":"Persian Gulf University","ror":"https://ror.org/03n2mgj60","country_code":"IR","type":"education","lineage":["https://openalex.org/I90767664"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Saeid Tahmasebi","raw_affiliation_strings":["Department of Statistics, Persian Gulf University, Bushehr, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Persian Gulf University, Bushehr, Iran","institution_ids":["https://openalex.org/I90767664"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045787539","display_name":"Ali Akbar Jafari","orcid":"https://orcid.org/0000-0002-2980-338X"},"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":"Ali Akbar Jafari","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054325728"],"corresponding_institution_ids":["https://openalex.org/I90767664"],"apc_list":null,"apc_paid":null,"fwci":1.3775,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.83413325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":1.0,"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":1.0,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9815999865531921,"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/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gompertz-function","display_name":"Gompertz function","score":0.8724745512008667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7137653231620789},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.6757957339286804},{"id":"https://openalex.org/keywords/quantile-function","display_name":"Quantile function","score":0.6628165245056152},{"id":"https://openalex.org/keywords/bathtub","display_name":"Bathtub","score":0.6424083709716797},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6408494710922241},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5276248455047607},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.506824791431427},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.45153743028640747},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4483267366886139},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4360734224319458},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.35141170024871826},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34622132778167725},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.2573689818382263},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21088972687721252}],"concepts":[{"id":"https://openalex.org/C134463574","wikidata":"https://www.wikidata.org/wiki/Q1011785","display_name":"Gompertz function","level":2,"score":0.8724745512008667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7137653231620789},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.6757957339286804},{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.6628165245056152},{"id":"https://openalex.org/C2777728836","wikidata":"https://www.wikidata.org/wiki/Q152095","display_name":"Bathtub","level":2,"score":0.6424083709716797},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6408494710922241},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5276248455047607},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.506824791431427},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.45153743028640747},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4483267366886139},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4360734224319458},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.35141170024871826},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34622132778167725},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.2573689818382263},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21088972687721252},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2015.1088024","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1088024","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":[{"id":"https://openalex.org/F4320313608","display_name":"Yazd University","ror":"https://ror.org/02x99ac45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1496753898","https://openalex.org/W1540186129","https://openalex.org/W1573033172","https://openalex.org/W1589112945","https://openalex.org/W1831331674","https://openalex.org/W1964366808","https://openalex.org/W1966202460","https://openalex.org/W1971568850","https://openalex.org/W1982365059","https://openalex.org/W1986078173","https://openalex.org/W1989301939","https://openalex.org/W1991567646","https://openalex.org/W1995875735","https://openalex.org/W1997494785","https://openalex.org/W1999624093","https://openalex.org/W2005017251","https://openalex.org/W2018187637","https://openalex.org/W2018387926","https://openalex.org/W2029645921","https://openalex.org/W2030748416","https://openalex.org/W2044798993","https://openalex.org/W2058115831","https://openalex.org/W2059850519","https://openalex.org/W2063558080","https://openalex.org/W2079318507","https://openalex.org/W2084497399","https://openalex.org/W2108971137","https://openalex.org/W2118084164","https://openalex.org/W2123291367","https://openalex.org/W2514487384","https://openalex.org/W2916304084","https://openalex.org/W3125094194"],"related_works":["https://openalex.org/W4251880570","https://openalex.org/W1540316965","https://openalex.org/W1986743204","https://openalex.org/W1997568700","https://openalex.org/W2368941167","https://openalex.org/W1990687557","https://openalex.org/W1997040453","https://openalex.org/W3140874519","https://openalex.org/W2963683801","https://openalex.org/W2607858311"],"abstract_inverted_index":{"This":[0],"article":[1],"introduces":[2],"a":[3],"five-parameter":[4],"lifetime":[5],"model":[6],"called":[7],"the":[8,15,51,63,67,79,87,100],"McDonald":[9],"Gompertz":[10,25],"(McG)":[11],"distribution":[12,36,53,102],"to":[13,109],"extend":[14],"Gompertz,":[16,18,22],"generalized":[17,19],"exponential,":[20],"beta":[21],"and":[23,43,58,70,91,97],"Kumaraswamy":[24],"distributions":[26],"among":[27],"several":[28,48],"other":[29],"models.":[30],"The":[31,73,95],"hazard":[32],"function":[33,65],"of":[34,50,66,99,107],"new":[35,101],"can":[37],"be":[38],"increasing,":[39],"decreasing,":[40],"upside-down":[41],"bathtub,":[42],"bathtub":[44],"shaped.":[45],"We":[46,61,84],"obtain":[47],"properties":[49],"McG":[52],"including":[54],"moments,":[55],"entropies,":[56],"quantile,":[57],"generating":[59],"functions.":[60],"provide":[62,86],"density":[64],"order":[68],"statistics":[69],"their":[71],"moments.":[72],"parameter":[74],"estimation":[75],"is":[76],"based":[77],"on":[78],"usual":[80],"maximum":[81],"likelihood":[82],"approach.":[83],"also":[85],"observed":[88],"information":[89],"matrix":[90],"discuss":[92],"inferences":[93],"issues.":[94],"flexibility":[96],"usefulness":[98],"are":[103],"illustrated":[104],"by":[105],"means":[106],"application":[108],"two":[110],"real":[111],"datasets.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
