{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:07:46Z","timestamp":1760144866683,"version":"build-2065373602"},"reference-count":0,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T00:00:00Z","timestamp":1716595200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper investigates the randomly stopped sums, minima and maxima of heavy- and light-tailed random variables. The conditions on the primary random variables, which are independent but generally not identically distributed, and counting random variable are given in order that the randomly stopped sum, random minimum and maximum is heavy\/light tailed. The results generalize some existing ones in the literature. The examples illustrating the results are provided.<\/jats:p>","DOI":"10.3390\/axioms13060355","type":"journal-article","created":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T09:33:31Z","timestamp":1716802411000},"page":"355","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Randomly Stopped Sums, Minima and Maxima for Heavy-Tailed and Light-Tailed Distributions"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2099-2380","authenticated-orcid":false,"given":"Remigijus","family":"Leipus","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8480-5644","authenticated-orcid":false,"given":"Jonas","family":"\u0160iaulys","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8731-2522","authenticated-orcid":false,"given":"Svetlana","family":"Danilenko","sequence":"additional","affiliation":[{"name":"Department of Mathematical Statistics, Vilnius Gediminas Technical University, Saul\u0117tekio 11, LT-10223 Vilnius, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8278-1952","authenticated-orcid":false,"given":"J\u016brat\u0117","family":"Karasevi\u010dien\u0117","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,25]]},"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/13\/6\/355\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:48:40Z","timestamp":1760107720000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/13\/6\/355"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,25]]},"references-count":0,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2024,6]]}},"alternative-id":["axioms13060355"],"URL":"https:\/\/doi.org\/10.3390\/axioms13060355","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2024,5,25]]}}}