{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,19]],"date-time":"2025-08-19T10:21:22Z","timestamp":1755598882801,"version":"3.41.2"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T00:00:00Z","timestamp":1341878400000},"content-version":"vor","delay-in-days":191,"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":["11061012","[2011] 47","1103108-08"],"award-info":[{"award-number":["11061012","[2011] 47","1103108-08"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Guangxi Institutions of Higher Learning","award":["11061012","[2011] 47","1103108-08"],"award-info":[{"award-number":["11061012","[2011] 47","1103108-08"]}]},{"name":"Key Laboratory of Spatial Information and Geomatics","award":["11061012","[2011] 47","1103108-08"],"award-info":[{"award-number":["11061012","[2011] 47","1103108-08"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The complete convergence for pairwise negative quadrant dependent (PNQD) random variables is studied. So far there has not been the general moment inequality for\nPNQD sequence, and therefore the study of the limit theory for PNQD sequence is very difficult and challenging. We establish a collection that contains relationship to overcome the difficulties that there is no general moment inequality. Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables are obtained. Our results generalize and improve those on complete convergence theorems previously obtained by Baum and Katz (1965) and Wu (2002).<\/jats:p>","DOI":"10.1155\/2012\/104390","type":"journal-article","created":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T21:45:26Z","timestamp":1341956726000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables"],"prefix":"10.1155","volume":"2012","author":[{"given":"Qunying","family":"Wu","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,10]]},"reference":[{"key":"e_1_2_4_1_2","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177699260"},{"key":"e_1_2_4_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(92)90191-7"},{"key":"e_1_2_4_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2008.02.053"},{"key":"e_1_2_4_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11424-011-8086-4"},{"key":"e_1_2_4_5_2","first-page":"404","article-title":"Some limit properties for pairwise NQD sequences","volume":"21","author":"Wang Y. 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Series A"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/104390.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/104390.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/104390","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:21:21Z","timestamp":1718090481000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/104390"}},"subtitle":[],"editor":[{"given":"Martin","family":"Weiser","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/104390"],"URL":"https:\/\/doi.org\/10.1155\/2012\/104390","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-02-07","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-04-19","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-07-10","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"104390"}}