{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:29:57Z","timestamp":1746804597228,"version":"3.40.5"},"reference-count":12,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271020","11201004"],"award-info":[{"award-number":["11271020","11201004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271020","11201004"],"award-info":[{"award-number":["11271020","11201004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>The complete moment convergence of weighted sums for arrays of rowwise<jats:italic>\u03c6<\/jats:italic>-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise<jats:italic>\u03c6<\/jats:italic>-mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a<jats:italic>\u03c6<\/jats:italic>-mixing random sequence is obtained, which improves the result of Kim et al. (2008).<\/jats:p>","DOI":"10.1155\/2012\/730962","type":"journal-article","created":{"date-parts":[[2012,9,30]],"date-time":"2012-09-30T18:48:03Z","timestamp":1349030883000},"page":"1-13","source":"Crossref","is-referenced-by-count":1,"title":["Complete Moment Convergence of Weighted Sums for Arrays of Rowwise<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi mathvariant=\"bold\">\u03c6<\/mml:mi><\/mml:mrow><\/mml:math>-Mixing Random Variables"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ming Le","family":"Guo","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1073\/pnas.33.2.25","volume":"33","year":"1947","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"key":"2","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1214\/aoms\/1177730037","volume":"20","year":"1949","journal-title":"Annals of Mathematical Statistics"},{"key":"3","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1090\/S0002-9947-1965-0198524-1","volume":"120","year":"1965","journal-title":"Transactions of the American Mathematical Society"},{"issue":"3","key":"4","first-page":"177","volume":"16","year":"1988","journal-title":"Bulletin of the Institute of Mathematics"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01199318"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1081\/SAP-120004118"},{"issue":"4","key":"7","first-page":"419","volume":"26","year":"2006","journal-title":"Journal of Mathematics"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-7152(02)00126-8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2007.09.009"},{"issue":"6","key":"10","first-page":"736","volume":"31","year":"1988","journal-title":"Acta Mathematica Sinica"},{"year":"1974","key":"11"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2008.07.026"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/730962.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/730962.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/730962.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T20:50:16Z","timestamp":1497991816000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/730962\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":12,"alternative-id":["730962","730962"],"URL":"https:\/\/doi.org\/10.1155\/2012\/730962","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2012]]}}}