{"id":"https://openalex.org/W4200334018","doi":"https://doi.org/10.3390/e24010009","title":"Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under \u03c1-Mixing Dependent Data","display_name":"Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under \u03c1-Mixing Dependent Data","publication_year":2021,"publication_date":"2021-12-21","ids":{"openalex":"https://openalex.org/W4200334018","doi":"https://doi.org/10.3390/e24010009","pmid":"https://pubmed.ncbi.nlm.nih.gov/35052035"},"language":"en","primary_location":{"id":"doi:10.3390/e24010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24010009","pdf_url":"https://www.mdpi.com/1099-4300/24/1/9/pdf?version=1640159908","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/1/9/pdf?version=1640159908","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037817442","display_name":"M. R. Irshad","orcid":null},"institutions":[{"id":"https://openalex.org/I20497027","display_name":"Cochin University of Science and Technology","ror":"https://ror.org/00a4kqq17","country_code":"IN","type":"education","lineage":["https://openalex.org/I20497027"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Muhammed Rasheed Irshad","raw_affiliation_strings":["Department of Statistics, Cochin University of Science and Technology, Cochin 682 022, India"],"raw_orcid":"https://orcid.org/0000-0002-5999-1588","affiliations":[{"raw_affiliation_string":"Department of Statistics, Cochin University of Science and Technology, Cochin 682 022, India","institution_ids":["https://openalex.org/I20497027"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112750332","display_name":"Radhakumari Maya","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radhakumari Maya","raw_affiliation_strings":["Department of Statistics, Govt. College for Women, Trivandrum 695 014, India"],"raw_orcid":"https://orcid.org/0000-0003-1138-740X","affiliations":[{"raw_affiliation_string":"Department of Statistics, Govt. College for Women, Trivandrum 695 014, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072180984","display_name":"Francesco Buono","orcid":"https://orcid.org/0000-0002-3569-4052"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Buono","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni \u201cRenato Caccioppoli\u201d, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3569-4052","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni \u201cRenato Caccioppoli\u201d, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057805228","display_name":"Maria Longobardi","orcid":"https://orcid.org/0000-0002-6772-5167"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Longobardi","raw_affiliation_strings":["Dipartimento di Biologia, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6772-5167","affiliations":[{"raw_affiliation_string":"Dipartimento di Biologia, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057805228"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6564,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69362252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"1","first_page":"9","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9954000115394592,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9932000041007996,"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/tsallis-entropy","display_name":"Tsallis entropy","score":0.8446346521377563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7180749773979187},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.7047867178916931},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6565958857536316},{"id":"https://openalex.org/keywords/residual-entropy","display_name":"Residual entropy","score":0.6529300212860107},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.61239093542099},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5110515356063843},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.49136272072792053},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.48749423027038574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4398331046104431},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.41489654779434204},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.31902754306793213},{"id":"https://openalex.org/keywords/tsallis-statistics","display_name":"Tsallis statistics","score":0.255618155002594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16815611720085144},{"id":"https://openalex.org/keywords/configuration-entropy","display_name":"Configuration entropy","score":0.11756443977355957},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11667755246162415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11638736724853516},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11160114407539368}],"concepts":[{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.8446346521377563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7180749773979187},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7047867178916931},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6565958857536316},{"id":"https://openalex.org/C97785096","wikidata":"https://www.wikidata.org/wiki/Q771478","display_name":"Residual entropy","level":3,"score":0.6529300212860107},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.61239093542099},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5110515356063843},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.49136272072792053},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.48749423027038574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4398331046104431},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.41489654779434204},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.31902754306793213},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.255618155002594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16815611720085144},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.11756443977355957},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11667755246162415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11638736724853516},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11160114407539368}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24010009","pdf_url":"https://www.mdpi.com/1099-4300/24/1/9/pdf?version=1640159908","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:35052035","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35052035","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:02b12811c1c549f1b620ed01c3894447","is_oa":true,"landing_page_url":"https://doaj.org/article/02b12811c1c549f1b620ed01c3894447","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 1, p 9 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/1/9/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24010009","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy; Volume 24; Issue 1; Pages: 9","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8774551","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8774551","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e24010009","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24010009","pdf_url":"https://www.mdpi.com/1099-4300/24/1/9/pdf?version=1640159908","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309590","display_name":"Universit\u00e0 degli Studi di Napoli Federico II","ror":"https://ror.org/05290cv24"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200334018.pdf","grobid_xml":"https://content.openalex.org/works/W4200334018.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1968391704","https://openalex.org/W1977687650","https://openalex.org/W1980158700","https://openalex.org/W1983874169","https://openalex.org/W1992387042","https://openalex.org/W1995875735","https://openalex.org/W2017792954","https://openalex.org/W2034321306","https://openalex.org/W2042982345","https://openalex.org/W2051473292","https://openalex.org/W2056871913","https://openalex.org/W2064166825","https://openalex.org/W2067405297","https://openalex.org/W2077574606","https://openalex.org/W2091470271","https://openalex.org/W2094001225","https://openalex.org/W2100967164","https://openalex.org/W2126391818","https://openalex.org/W2155245354","https://openalex.org/W2227691753","https://openalex.org/W2472576221","https://openalex.org/W2757279842","https://openalex.org/W2771836536","https://openalex.org/W3016642279","https://openalex.org/W3035547216","https://openalex.org/W3134108889","https://openalex.org/W3165188155","https://openalex.org/W3172107173","https://openalex.org/W3175059020","https://openalex.org/W3199042833","https://openalex.org/W4288841003"],"related_works":["https://openalex.org/W2368320221","https://openalex.org/W2990511789","https://openalex.org/W4288009110","https://openalex.org/W3105250080","https://openalex.org/W3201622940","https://openalex.org/W1640831794","https://openalex.org/W1994273251","https://openalex.org/W4401731710","https://openalex.org/W4379780488","https://openalex.org/W4388568153"],"abstract_inverted_index":{"Tsallis":[0,9,30,41],"introduced":[1],"a":[2,88],"non-logarithmic":[3],"generalization":[4],"of":[5,69,81],"Shannon":[6],"entropy,":[7,10],"namely":[8,27,37],"which":[11],"is":[12,85],"non-extensive.":[13],"Sati":[14],"and":[15,33,56,87],"Gupta":[16],"proposed":[17,83],"cumulative":[18,28,39],"residual":[19,29,40],"information":[20],"based":[21],"on":[22],"this":[23],"non-extensive":[24],"entropy":[25,31,42],"measure,":[26],"(CRTE),":[32],"its":[34],"dynamic":[35,38],"version,":[36],"(DCRTE).":[43],"In":[44],"the":[45,59,70,82],"present":[46],"paper,":[47],"we":[48],"propose":[49],"non-parametric":[50],"kernel":[51],"type":[52],"estimators":[53,71],"for":[54],"CRTE":[55],"DCRTE":[57],"where":[58],"considered":[60],"observations":[61],"exhibit":[62],"an":[63],"\u03c1-mixing":[64],"dependence":[65],"condition.":[66],"Asymptotic":[67],"properties":[68],"were":[72],"established":[73],"under":[74],"suitable":[75],"regularity":[76],"conditions.":[77],"A":[78],"numerical":[79],"evaluation":[80],"estimator":[84],"exhibited":[86],"Monte":[89],"Carlo":[90],"simulation":[91],"study":[92],"was":[93],"carried":[94],"out.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}
