{"id":"https://openalex.org/W4400251658","doi":"https://doi.org/10.3390/e26070565","title":"Statistical Divergence and Paths Thereof to Socioeconomic Inequality and to Renewal Processes","display_name":"Statistical Divergence and Paths Thereof to Socioeconomic Inequality and to Renewal Processes","publication_year":2024,"publication_date":"2024-06-30","ids":{"openalex":"https://openalex.org/W4400251658","doi":"https://doi.org/10.3390/e26070565","pmid":"https://pubmed.ncbi.nlm.nih.gov/39056927"},"language":"en","primary_location":{"id":"doi:10.3390/e26070565","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26070565","pdf_url":"https://www.mdpi.com/1099-4300/26/7/565/pdf?version=1720687332","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/1099-4300/26/7/565/pdf?version=1720687332","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060864309","display_name":"Iddo Eliazar","orcid":"https://orcid.org/0000-0001-9077-7830"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Iddo Eliazar","raw_affiliation_strings":["School of Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel"],"affiliations":[{"raw_affiliation_string":"School of Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060864309"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09400625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"7","first_page":"565","last_page":"565"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9977999925613403,"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":0.9977999925613403,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9692999720573425,"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/hellinger-distance","display_name":"Hellinger distance","score":0.7456196546554565},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6981275081634521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6459968686103821},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5161055326461792},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.46230000257492065},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.43628424406051636},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4323461055755615},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4229137599468231},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38076457381248474},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36029165983200073},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10208305716514587}],"concepts":[{"id":"https://openalex.org/C153024298","wikidata":"https://www.wikidata.org/wiki/Q3030678","display_name":"Hellinger distance","level":2,"score":0.7456196546554565},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6981275081634521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6459968686103821},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5161055326461792},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.43628424406051636},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4323461055755615},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4229137599468231},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38076457381248474},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36029165983200073},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10208305716514587},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26070565","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26070565","pdf_url":"https://www.mdpi.com/1099-4300/26/7/565/pdf?version=1720687332","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:39056927","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39056927","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:pubmedcentral.nih.gov:11276393","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11276393","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11276393/pdf/entropy-26-00565.pdf","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"},{"id":"pmh:oai:doaj.org/article:9ab888cfe1924d78a1bb51c8bda35060","is_oa":true,"landing_page_url":"https://doaj.org/article/9ab888cfe1924d78a1bb51c8bda35060","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 7, p 565 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26070565","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26070565","pdf_url":"https://www.mdpi.com/1099-4300/26/7/565/pdf?version=1720687332","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400251658.pdf"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W152055444","https://openalex.org/W1571494542","https://openalex.org/W1632356912","https://openalex.org/W1679609204","https://openalex.org/W1965555277","https://openalex.org/W1992755218","https://openalex.org/W2001150023","https://openalex.org/W2009633723","https://openalex.org/W2015036683","https://openalex.org/W2026653933","https://openalex.org/W2032916024","https://openalex.org/W2051657238","https://openalex.org/W2131940723","https://openalex.org/W2142225329","https://openalex.org/W2169851375","https://openalex.org/W2317739826","https://openalex.org/W2487492882","https://openalex.org/W2492752217","https://openalex.org/W2518143623","https://openalex.org/W2565523924","https://openalex.org/W2605207379","https://openalex.org/W2626899747","https://openalex.org/W2724706083","https://openalex.org/W2767091268","https://openalex.org/W2780210286","https://openalex.org/W2797753119","https://openalex.org/W2883209791","https://openalex.org/W2904350042","https://openalex.org/W2963077474","https://openalex.org/W2963451384","https://openalex.org/W3011765509","https://openalex.org/W3019208749","https://openalex.org/W3091430646","https://openalex.org/W3092140477","https://openalex.org/W3098167974","https://openalex.org/W3099915675","https://openalex.org/W3102159535","https://openalex.org/W3105625957","https://openalex.org/W3160314930","https://openalex.org/W3164112214","https://openalex.org/W3202864205","https://openalex.org/W3217153269","https://openalex.org/W4206954022","https://openalex.org/W4230753018","https://openalex.org/W4233278384","https://openalex.org/W4243165485","https://openalex.org/W4244009405","https://openalex.org/W4250887816","https://openalex.org/W4250899153","https://openalex.org/W4253447074","https://openalex.org/W4255455517","https://openalex.org/W4280520287","https://openalex.org/W4287629871","https://openalex.org/W4297097192","https://openalex.org/W4298545761","https://openalex.org/W4299551643","https://openalex.org/W4386322182","https://openalex.org/W4387609132","https://openalex.org/W4388311561","https://openalex.org/W4394854471","https://openalex.org/W6636737686","https://openalex.org/W6652825094","https://openalex.org/W6779658066","https://openalex.org/W6785155153"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W908164891","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W1616881371","https://openalex.org/W1520875569","https://openalex.org/W2199957582"],"abstract_inverted_index":{"This":[0],"paper":[1,125],"establishes":[2],"a":[3,14,21,118,129],"general":[4,43,58],"framework":[5,44,59],"for":[6],"measuring":[7],"statistical":[8,31,122,145],"divergence.":[9],"Namely,":[10],"with":[11],"regard":[12],"to":[13,48,65,68,70,147],"pair":[15],"of":[16,24,29,33,39,51,101,111,134],"random":[17,35],"variables":[18],"that":[19,38,142],"share":[20],"common":[22],"range":[23],"values:":[25],"quantifying":[26],"the":[27,30,40,49,71,86,93,99,105,109,148],"distance":[28],"distribution":[32],"one":[34],"variable":[36],"from":[37,104,114,144],"other.":[41],"The":[42,57],"is":[45],"then":[46],"applied":[47],"topics":[50],"socioeconomic":[52,90],"inequality":[53,91],"and":[54,60,67,78,89,96,108,131],"renewal":[55,102],"processes.":[56],"its":[61,97,127],"applications":[62],"are":[63],"shown":[64],"yield":[66],"relate":[69],"following:":[72],"f-divergence,":[73],"Hellinger":[74],"divergence,":[75,77,123],"Renyi":[76],"Kullback-Leibler":[79],"divergence":[80,100,110,146],"(also":[81],"known":[82],"as":[83,137,139],"relative":[84],"entropy);":[85],"Lorenz":[87],"curve":[88],"indices;":[92],"Gini":[94],"index":[95],"generalizations;":[98],"processes":[103],"Poisson":[106],"process;":[107],"anomalous":[112],"relaxation":[113],"regular":[115],"relaxation.":[116],"Presenting":[117],"'fresh'":[119],"perspective":[120],"on":[121],"this":[124],"offers":[126],"readers":[128],"simple":[130],"transparent":[132],"construction":[133],"statistical-divergence":[135],"gauges,":[136],"well":[138],"novel":[140],"paths":[141],"lead":[143],"aforementioned":[149],"topics.":[150]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}