{"id":"https://openalex.org/W3042020302","doi":"https://doi.org/10.6339/jds.202004_18(2).0006","title":"Extended Poisson-Frechet Distribution: Mathematical Properties and Applications to Survival and Repair Times","display_name":"Extended Poisson-Frechet Distribution: Mathematical Properties and Applications to Survival and Repair Times","publication_year":2021,"publication_date":"2021-02-04","ids":{"openalex":"https://openalex.org/W3042020302","doi":"https://doi.org/10.6339/jds.202004_18(2).0006","mag":"3042020302"},"language":"en","primary_location":{"id":"doi:10.6339/jds.202004_18(2).0006","doi":"https://doi.org/10.6339/jds.202004_18(2).0006","is_oa":true,"landing_page_url":"https://doi.org/10.6339/jds.202004_18(2).0006","pdf_url":"https://jds-online.org/journal/JDS/article/81/file/pdf","source":{"id":"https://openalex.org/S2764553900","display_name":"Journal of Data Science","issn_l":"1680-743X","issn":["1680-743X","1683-8602"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1"],"host_organization":"https://openalex.org/P4327988825","host_organization_name":"People's University of China","host_organization_lineage":["https://openalex.org/P4327988825"],"host_organization_lineage_names":["People's University of China"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Data Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://jds-online.org/journal/JDS/article/81/file/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109460772","display_name":"Mohamed S. Hamed","orcid":"https://orcid.org/0000-0002-6669-6202","observed_orcids":["https://orcid.org/0000-0002-6669-6202"]},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]},{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"M.S. Hamed","raw_affiliation_strings":["Department of Statistics, Mathematics and Insurance , Benha University , Egypt","Management Information System Department , Taibah University , Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Mathematics and Insurance , Benha University , Egypt","institution_ids":["https://openalex.org/I207547235"]},{"raw_affiliation_string":"Management Information System Department , Taibah University , Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109460772"],"corresponding_institution_ids":["https://openalex.org/I207547235","https://openalex.org/I23075662"],"apc_list":null,"apc_paid":null,"fwci":0.3221,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54887575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"319","last_page":"342"},"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/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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/four-parameter-distribution","display_name":"four-parameter distribution","score":0.7879999876022339},{"id":"https://openalex.org/keywords/survival-analysis","display_name":"survival analysis","score":0.7559999823570251},{"id":"https://openalex.org/keywords/repair-time","display_name":"repair time","score":0.9739999771118164},{"id":"https://openalex.org/keywords/incomplete-moments","display_name":"incomplete moments","score":0.6150000095367432},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.8489999771118164},{"id":"https://openalex.org/keywords/order-statistics","display_name":"order statistics","score":0.9940000176429749},{"id":"https://openalex.org/keywords/residual-life-function","display_name":"residual life function","score":0.9580000042915344},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.9919999837875366}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7769678831100464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.721752941608429},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7040247917175293},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5931603312492371},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.582171618938446},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5740172863006592},{"id":"https://openalex.org/C178174526","wikidata":"https://www.wikidata.org/wiki/Q3711786","display_name":"Compound Poisson distribution","level":4,"score":0.5549241304397583},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.5344979166984558},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.4817409813404083},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4756850004196167},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.44660526514053345},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.42779937386512756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36145609617233276},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.264651894569397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21498677134513855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17751702666282654},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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":1,"locations":[{"id":"doi:10.6339/jds.202004_18(2).0006","doi":"https://doi.org/10.6339/jds.202004_18(2).0006","is_oa":true,"landing_page_url":"https://doi.org/10.6339/jds.202004_18(2).0006","pdf_url":"https://jds-online.org/journal/JDS/article/81/file/pdf","source":{"id":"https://openalex.org/S2764553900","display_name":"Journal of Data Science","issn_l":"1680-743X","issn":["1680-743X","1683-8602"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1"],"host_organization":"https://openalex.org/P4327988825","host_organization_name":"People's University of China","host_organization_lineage":["https://openalex.org/P4327988825"],"host_organization_lineage_names":["People's University of China"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.6339/jds.202004_18(2).0006","doi":"https://doi.org/10.6339/jds.202004_18(2).0006","is_oa":true,"landing_page_url":"https://doi.org/10.6339/jds.202004_18(2).0006","pdf_url":"https://jds-online.org/journal/JDS/article/81/file/pdf","source":{"id":"https://openalex.org/S2764553900","display_name":"Journal of Data Science","issn_l":"1680-743X","issn":["1680-743X","1683-8602"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["anvur-scientific","doaj","norway-1"],"host_organization":"https://openalex.org/P4327988825","host_organization_name":"People's University of China","host_organization_lineage":["https://openalex.org/P4327988825"],"host_organization_lineage_names":["People's University of China"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3042020302.pdf","grobid_xml":"https://content.openalex.org/works/W3042020302.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1863380439","https://openalex.org/W1980749508","https://openalex.org/W2024358464","https://openalex.org/W2051734881","https://openalex.org/W2111669852","https://openalex.org/W2122456939","https://openalex.org/W2188875001","https://openalex.org/W2189502862","https://openalex.org/W2324099123","https://openalex.org/W2341925878","https://openalex.org/W2410322314","https://openalex.org/W2572261959","https://openalex.org/W2587398625","https://openalex.org/W2592065463","https://openalex.org/W2735910889","https://openalex.org/W2766903114","https://openalex.org/W2899273591","https://openalex.org/W2902938147","https://openalex.org/W2909818165","https://openalex.org/W2912669132","https://openalex.org/W2921962836","https://openalex.org/W2959159189","https://openalex.org/W2960096106","https://openalex.org/W2972895400","https://openalex.org/W2998122110","https://openalex.org/W3008130889","https://openalex.org/W3010328267","https://openalex.org/W3134390978","https://openalex.org/W3135565198","https://openalex.org/W3137282901","https://openalex.org/W4205598956","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3146492727","https://openalex.org/W2995928720","https://openalex.org/W2900082100","https://openalex.org/W2493588868","https://openalex.org/W2901248031","https://openalex.org/W6959238025","https://openalex.org/W1863380439","https://openalex.org/W2489492874","https://openalex.org/W3034837018","https://openalex.org/W3194121977"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,64],"new":[4,69],"four":[5],"parameter":[6],"zero":[7],"truncated":[8],"Poisson":[9],"Frechet":[10],"distribution":[11,70],"is":[12,45,71],"defined":[13],"and":[14,34],"studied.":[15],"Various":[16],"structural":[17],"mathematical":[18],"properties":[19],"of":[20,56,63],"the":[21,49,54,57],"proposed":[22],"model":[23,50],"including":[24],"ordinary":[25],"moments,":[26,28],"incomplete":[27],"generating":[29],"functions,":[30],"order":[31],"statistics,":[32],"residual":[33,36],"reversed":[35],"life":[37],"functions":[38],"are":[39],"investigated.":[40],"The":[41,68],"maximum":[42,58],"likelihood":[43,59],"method":[44,60],"used":[46],"to":[47,79],"estimate":[48],"parameters.":[51],"We":[52],"assess":[53],"performance":[55],"by":[61],"means":[62],"numerical":[65],"simulation":[66],"study.":[67],"applied":[72],"for":[73],"modeling":[74],"two":[75],"real":[76],"data":[77],"sets":[78],"illustrate":[80],"empirically":[81],"its":[82],"flexibility.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-07-16T00:00:00"}
