{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:41:28Z","timestamp":1740134488386,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"19","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100004055","name":"King Fahd University of Petroleum and Minerals","doi-asserted-by":"publisher","award":["MS\/STOCHASTIC\/254"],"award-info":[{"award-number":["MS\/STOCHASTIC\/254"]}],"id":[{"id":"10.13039\/501100004055","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>We prove limit theorems for a family of random vectors whose\ncoordinates are a special form of random sums of\nBernoulli random variables. Applying these limit theorems, we\nstudy the number of productive individuals in <jats:italic>n<\/jats:italic>\u2010type\nindecomposable critical branching stochastic processes with types\nof individuals <jats:italic>T<\/jats:italic><jats:sub>1<\/jats:sub>, \u2026, <jats:italic>T<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>.<\/jats:p>","DOI":"10.1155\/s0161171204303194","type":"journal-article","created":{"date-parts":[[2004,4,21]],"date-time":"2004-04-21T12:48:53Z","timestamp":1082551733000},"page":"975-990","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Random sums of random vectors and multitype families ofproductive individuals"],"prefix":"10.1155","volume":"2004","author":[{"given":"I.","family":"Rahimov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Muttlak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,4,21]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/127463.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204303194","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:52:52Z","timestamp":1723063972000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204303194"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204303194"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204303194","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-03-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-04-21","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}