{"id":"https://openalex.org/W4399055336","doi":"https://doi.org/10.3390/axioms13060355","title":"Randomly Stopped Sums, Minima and Maxima for Heavy-Tailed and Light-Tailed Distributions","display_name":"Randomly Stopped Sums, Minima and Maxima for Heavy-Tailed and Light-Tailed Distributions","publication_year":2024,"publication_date":"2024-05-25","ids":{"openalex":"https://openalex.org/W4399055336","doi":"https://doi.org/10.3390/axioms13060355"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13060355","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060355","pdf_url":"https://www.mdpi.com/2075-1680/13/6/355/pdf?version=1716627438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/6/355/pdf?version=1716627438","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053319452","display_name":"Remigijus Leipus","orcid":"https://orcid.org/0000-0002-2099-2380"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Remigijus Leipus","raw_affiliation_strings":["Institute of Applied Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-2099-2380","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania","institution_ids":["https://openalex.org/I173212132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089516649","display_name":"Jonas \u0160iaulys","orcid":"https://orcid.org/0000-0002-8480-5644"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]}],"countries":["LT"],"is_corresponding":true,"raw_author_name":"Jonas \u0160iaulys","raw_affiliation_strings":["Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-8480-5644","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania","institution_ids":["https://openalex.org/I173212132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048416236","display_name":"Svetlana Danilenko","orcid":"https://orcid.org/0000-0001-8731-2522"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Svetlana Danilenko","raw_affiliation_strings":["Department of Mathematical Statistics, Vilnius Gediminas Technical University, Saul\u0117tekio 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0001-8731-2522","affiliations":[{"raw_affiliation_string":"Department of Mathematical Statistics, Vilnius Gediminas Technical University, Saul\u0117tekio 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092039157","display_name":"J\u016brat\u0117 Karasevi\u010dien\u0117","orcid":"https://orcid.org/0000-0001-8278-1952"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"J\u016brat\u0117 Karasevi\u010dien\u0117","raw_affiliation_strings":["Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0001-8278-1952","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania","institution_ids":["https://openalex.org/I173212132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089516649"],"corresponding_institution_ids":["https://openalex.org/I173212132"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2487,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79124016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"13","issue":"6","first_page":"355","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9182000160217285,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9182000160217285,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9164000153541565,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.8849568367004395},{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.8477901220321655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4983980655670166},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37391066551208496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36901792883872986},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3625880479812622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20360156893730164},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.12828198075294495},{"id":"https://openalex.org/keywords/art-history","display_name":"Art history","score":0.04334262013435364}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.8849568367004395},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.8477901220321655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4983980655670166},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37391066551208496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36901792883872986},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3625880479812622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20360156893730164},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.12828198075294495},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.04334262013435364},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms13060355","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060355","pdf_url":"https://www.mdpi.com/2075-1680/13/6/355/pdf?version=1716627438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2e3abfcabd1c44c2a74107342d26182e","is_oa":true,"landing_page_url":"https://doaj.org/article/2e3abfcabd1c44c2a74107342d26182e","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":"Axioms, Vol 13, Iss 6, p 355 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/13/6/355/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms13060355","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":"Axioms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms13060355","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13060355","pdf_url":"https://www.mdpi.com/2075-1680/13/6/355/pdf?version=1716627438","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399055336.pdf"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W649805851","https://openalex.org/W1498464051","https://openalex.org/W1695623954","https://openalex.org/W1975913033","https://openalex.org/W1987320828","https://openalex.org/W1989921777","https://openalex.org/W1990949084","https://openalex.org/W1991567646","https://openalex.org/W2011420834","https://openalex.org/W2014250684","https://openalex.org/W2044310819","https://openalex.org/W2050170393","https://openalex.org/W2070881262","https://openalex.org/W2109819452","https://openalex.org/W2292976891","https://openalex.org/W2321860195","https://openalex.org/W2325901369","https://openalex.org/W2341419061","https://openalex.org/W2472143408","https://openalex.org/W2593592321","https://openalex.org/W2614141783","https://openalex.org/W2794125466","https://openalex.org/W2805658487","https://openalex.org/W2915240731","https://openalex.org/W2933978029","https://openalex.org/W2943109283","https://openalex.org/W3012866854","https://openalex.org/W3021576146","https://openalex.org/W4220811305","https://openalex.org/W4235050112","https://openalex.org/W4254070027","https://openalex.org/W4280625223","https://openalex.org/W4292334561","https://openalex.org/W4296788125","https://openalex.org/W4311530264","https://openalex.org/W4312178642","https://openalex.org/W4362499533","https://openalex.org/W4365148342","https://openalex.org/W4378602313","https://openalex.org/W4384341804","https://openalex.org/W4384705501","https://openalex.org/W4386095913","https://openalex.org/W4388637722","https://openalex.org/W4391035170","https://openalex.org/W4391344086"],"related_works":["https://openalex.org/W2050191802","https://openalex.org/W3105193347","https://openalex.org/W1973781123","https://openalex.org/W2160559052","https://openalex.org/W181473267","https://openalex.org/W4232457976","https://openalex.org/W1835819466","https://openalex.org/W2156081102","https://openalex.org/W2797691919","https://openalex.org/W2350245891"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,19,40,58,63],"randomly":[4,41],"stopped":[5,42],"sums,":[6],"minima":[7],"and":[8,12,31,46],"maxima":[9],"of":[10],"heavy-":[11],"light-tailed":[13],"random":[14,21,33,44],"variables.":[15],"The":[16,51,60],"conditions":[17],"on":[18],"primary":[20],"variables,":[22],"which":[23],"are":[24,35,65],"independent":[25],"but":[26],"generally":[27],"not":[28],"identically":[29],"distributed,":[30],"counting":[32],"variable":[34],"given":[36],"in":[37,57],"order":[38],"that":[39],"sum,":[43],"minimum":[45],"maximum":[47],"is":[48],"heavy/light":[49],"tailed.":[50],"results":[52,64],"generalize":[53],"some":[54],"existing":[55],"ones":[56],"literature.":[59],"examples":[61],"illustrating":[62],"provided.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}