{"id":"https://openalex.org/W7166802257","doi":"https://doi.org/10.21203/rs.3.rs-9973272/v1","title":"A New Pareto-Type Family via the Right-Sided Riemann\u2013Liouville Fractional Integral: Properties and Applications","display_name":"A New Pareto-Type Family via the Right-Sided Riemann\u2013Liouville Fractional Integral: Properties and Applications","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7166802257","doi":"https://doi.org/10.21203/rs.3.rs-9973272/v1"},"language":"en","primary_location":{"id":"doi:10.21203/rs.3.rs-9973272/v1","doi":"https://doi.org/10.21203/rs.3.rs-9973272/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-9973272/v1","pdf_url":"https://www.researchsquare.com/article/rs-9973272/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","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":"Research Square","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.researchsquare.com/article/rs-9973272/latest.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134520846","display_name":"Kamaldeen Olomoda Isiak","orcid":"https://orcid.org/0009-0000-1767-2709","observed_orcids":["https://orcid.org/0009-0000-1767-2709"]},"institutions":[{"id":"https://openalex.org/I4405252473","display_name":"Nigerian Army University Biu","ror":"https://ror.org/04xm4gw61","country_code":"NG","type":"education","lineage":["https://openalex.org/I4405252473"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"Kamaldeen Olomoda ISIAK","raw_affiliation_strings":["Nigerian Army University Biu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nigerian Army University Biu","institution_ids":["https://openalex.org/I4405252473"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030898441","display_name":"Akeyede Imam","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800437794","display_name":"Federal University Lafia","ror":"https://ror.org/03p5jz112","country_code":"NG","type":"education","lineage":["https://openalex.org/I2800437794"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"AKEYEDE Imam","raw_affiliation_strings":["Federal University of Lafia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Lafia","institution_ids":["https://openalex.org/I2800437794"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123286431","display_name":"MUSA Yunus Olatunji","orcid":"https://orcid.org/0009-0000-0562-0776","observed_orcids":["https://orcid.org/0009-0000-0562-0776"]},"institutions":[{"id":"https://openalex.org/I3129613971","display_name":"Kwara State Polytechnic","ror":"https://ror.org/02ar7jm50","country_code":"NG","type":"education","lineage":["https://openalex.org/I3129613971"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Yunus MUSA Olatunji","raw_affiliation_strings":["Kwara State Polytechnic Ilorin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kwara State Polytechnic Ilorin","institution_ids":["https://openalex.org/I3129613971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139845236","display_name":"OYETAYO Oyebisi","orcid":"https://orcid.org/0009-0000-3955-6848","observed_orcids":["https://orcid.org/0009-0000-3955-6848"]},"institutions":[{"id":"https://openalex.org/I134542131","display_name":"University of Ilorin","ror":"https://ror.org/032kdwk38","country_code":"NG","type":"education","lineage":["https://openalex.org/I134542131"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"OYETAYO Oyebisi","raw_affiliation_strings":["University of Ilorin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ilorin","institution_ids":["https://openalex.org/I134542131"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137284939","display_name":"Muhammad Abiodun Sulaiman","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I134542131","display_name":"University of Ilorin","ror":"https://ror.org/032kdwk38","country_code":"NG","type":"education","lineage":["https://openalex.org/I134542131"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Muhammad Abiodun SULAIMAN","raw_affiliation_strings":["University of Ilorin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ilorin","institution_ids":["https://openalex.org/I134542131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5134520846"],"corresponding_institution_ids":["https://openalex.org/I4405252473"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9907000064849854,"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":0.9907000064849854,"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":0.005799999926239252,"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/T13500","display_name":"Probability and Statistical Research","score":0.0005000000237487257,"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/pareto-type-distributions","display_name":"Pareto-type distributions","score":0.9900000095367432},{"id":"https://openalex.org/keywords/fractional-parameter","display_name":"fractional parameter","score":0.621999979019165},{"id":"https://openalex.org/keywords/heavy-tailed-distributions","display_name":"heavy-tailed distributions","score":0.9300000071525574},{"id":"https://openalex.org/keywords/tail-behavior","display_name":"tail behavior","score":0.746999979019165},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"probability density function","score":0.7369999885559082},{"id":"https://openalex.org/keywords/moments","display_name":"moments","score":0.7549999952316284},{"id":"https://openalex.org/keywords/quantile-function","display_name":"quantile function","score":0.8119999766349792},{"id":"https://openalex.org/keywords/entropy-measures","display_name":"entropy measures","score":0.9599999785423279},{"id":"https://openalex.org/keywords/stochastic-orders","display_name":"stochastic ordering","score":0.9929999709129333},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.8920000195503235},{"id":"https://openalex.org/keywords/survival-function","display_name":"survival function","score":0.5889999866485596},{"id":"https://openalex.org/keywords/hazard-function","display_name":"hazard function","score":0.9890000224113464}],"concepts":[{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.6510000228881836},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6467999815940857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5561000108718872},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.49239999055862427},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4553000032901764},{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.44179999828338623},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4381999969482422},{"id":"https://openalex.org/C49261128","wikidata":"https://www.wikidata.org/wiki/Q1132455","display_name":"Hazard","level":2,"score":0.4359999895095825},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4074999988079071},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4043999910354614},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.398499995470047},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39800000190734863},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3968999981880188},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C133514767","wikidata":"https://www.wikidata.org/wiki/Q5532448","display_name":"Generalized Pareto distribution","level":3,"score":0.3734000027179718},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.351500004529953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34529998898506165},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.336899995803833},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2921000123023987},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C167981619","wikidata":"https://www.wikidata.org/wiki/Q1685498","display_name":"Cross entropy","level":3,"score":0.27410000562667847},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C18294631","wikidata":"https://www.wikidata.org/wiki/Q2621185","display_name":"Location parameter","level":3,"score":0.2700999975204468},{"id":"https://openalex.org/C189508267","wikidata":"https://www.wikidata.org/wiki/Q17088227","display_name":"Density estimation","level":3,"score":0.266400009393692},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C199435849","wikidata":"https://www.wikidata.org/wiki/Q3179293","display_name":"Shape parameter","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21203/rs.3.rs-9973272/v1","doi":"https://doi.org/10.21203/rs.3.rs-9973272/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-9973272/v1","pdf_url":"https://www.researchsquare.com/article/rs-9973272/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","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":"Research Square","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.21203/rs.3.rs-9973272/v1","doi":"https://doi.org/10.21203/rs.3.rs-9973272/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-9973272/v1","pdf_url":"https://www.researchsquare.com/article/rs-9973272/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","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":"Research Square","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166802257.pdf","grobid_xml":"https://content.openalex.org/works/W7166802257.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2739747364","https://openalex.org/W2806547369","https://openalex.org/W2888251010","https://openalex.org/W3200859976","https://openalex.org/W4220898582","https://openalex.org/W4396727670","https://openalex.org/W4403620584","https://openalex.org/W4406378201"],"related_works":["https://openalex.org/W7171694841","https://openalex.org/W4414222414","https://openalex.org/W3126334956","https://openalex.org/W4415736749","https://openalex.org/W6944880945","https://openalex.org/W2901645338","https://openalex.org/W4416107765","https://openalex.org/W1595158312","https://openalex.org/W4211189025","https://openalex.org/W6906903668"],"abstract_inverted_index":{"Abstract":[0],"Classical":[1],"Pareto":[2],"and":[3,80,88,104,118,130],"related":[4],"Pareto-type":[5,63,155],"distributions":[6,64,156],"are":[7,107,121],"widely":[8],"used":[9],"for":[10,84,94],"modeling":[11,159],"heavy-tailed":[12,160],"phenomena;":[13],"however,":[14],"their":[15],"fixed":[16],"tail":[17,27,86],"structure":[18],"often":[19],"limits":[20],"flexibility":[21],"in":[22,30,158],"capturing":[23],"varying":[24],"degrees":[25],"of":[26,44,62,133],"heaviness":[28],"observed":[29],"real":[31],"data.":[32,161],"Many":[33],"existing":[34,154],"extensions":[35],"improve":[36],"fit":[37],"only":[38],"marginally":[39],"or":[40],"at":[41],"the":[42,67,95,131,134,149],"cost":[43],"increased":[45],"parameter":[46,76],"complexity":[47],"without":[48],"clear":[49],"theoretical":[50],"motivation.":[51],"To":[52],"address":[53],"these":[54],"limitations,":[55],"this":[56],"paper":[57],"proposes":[58],"a":[59,78],"new":[60],"family":[61],"generated":[65],"via":[66],"right-sided":[68],"Riemann\u2013Liouville":[69],"fractional":[70,75],"integral":[71],"operator.":[72],"The":[73],"introduced":[74],"provides":[77],"systematic":[79],"theoretically":[81],"grounded":[82],"mechanism":[83],"regulating":[85],"behavior":[87],"enhancing":[89],"model":[90,151],"flexibility.":[91],"Explicit":[92],"expressions":[93],"probability":[96],"density":[97],"function,":[98,101,103,115],"cumulative":[99],"distribution":[100],"survival":[102],"hazard":[105],"rate":[106],"derived.":[108],"Key":[109],"statistical":[110],"properties,":[111],"including":[112],"moments,":[113],"quantile":[114],"entropy":[116],"measures,":[117],"stochastic":[119],"ordering,":[120],"investigated.":[122],"Parameter":[123],"estimation":[124],"is":[125,136],"conducted":[126],"using":[127],"maximum":[128],"likelihood,":[129],"performance":[132],"estimators":[135],"assessed":[137],"through":[138],"Monte":[139],"Carlo":[140],"simulations.":[141],"Applications":[142],"to":[143],"real-life":[144],"data":[145],"sets":[146],"demonstrate":[147],"that":[148],"proposed":[150],"outperforms":[152],"several":[153],"particularly":[157]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-07-02T00:00:00"}