{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,25]],"date-time":"2026-07-25T20:22:38Z","timestamp":1785010958877,"version":"3.55.0"},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p>We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.<\/jats:p>","DOI":"10.1017\/s0021900200113506","type":"journal-article","created":{"date-parts":[[2016,3,30]],"date-time":"2016-03-30T16:26:34Z","timestamp":1459355194000},"page":"877-893","source":"Crossref","is-referenced-by-count":3,"title":["Limit theorems for decomposable branching processes in a random environment"],"prefix":"10.1017","volume":"52","author":[{"given":"Vladimir","family":"Vatutin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Quansheng","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2016,3,30]]},"reference":[{"key":"S0021900200113506_ref8","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697589"},{"key":"S0021900200113506_ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0040585X97978440"},{"key":"S0021900200113506_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/BF00535685"},{"key":"S0021900200113506_ref5","first-page":"28","volume":"38","year":"1976","journal-title":"Sankhy\u0101 A"},{"key":"S0021900200113506_ref9","first-page":"694285","volume":"2012","year":"2012","journal-title":"Internat. J. Stoch. Anal"},{"key":"S0021900200113506_ref3","volume-title":"Branching Processes","year":"1972"},{"key":"S0021900200113506_ref2","doi-asserted-by":"publisher","DOI":"10.1214\/009117904000000928"},{"key":"S0021900200113506_ref1","first-page":"267","volume":"9","year":"1999","journal-title":"Discrete Math. Appl"},{"key":"S0021900200113506_ref4","volume-title":"An Introduction to Probability Theory and Its Applications","volume":"II","year":"1966"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200113506","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,22]],"date-time":"2017-04-22T16:31:14Z","timestamp":1492878674000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200113506\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":9,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["S0021900200113506"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200113506","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}