Laws of Large Numbers for Tight Random Elements in Normed Linear Spaces | |
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學年 | 67 |
學期 | 2 |
出版(發表)日期 | 1979-02-01 |
作品名稱 | Laws of Large Numbers for Tight Random Elements in Normed Linear Spaces |
作品名稱(其他語言) | |
著者 | Taylor, R. L.; Wei, Duan |
單位 | 淡江大學財務金融學系 |
出版者 | Beachwood: Institute of Mathematical Statistics |
著錄名稱、卷期、頁數 | The Annals of Probability 7(1), pp.150-155 |
摘要 | A strong law of large numbers is proved for tight, independent random elements (in a separable normed linear space) which have uniformly bounded pth moments (p>1). In addition, a weak law of large numbers is obtained for tight random elements with uniformly bounded pth moments (p>1) where convergence in probability for the separable normed linear space holds if and only if convergence in probability for the weak linear topology holds. |
關鍵字 | Law of large numbers;Mathematical moments;Random variables;Banach space;Separable spaces;Topological theorems;Mathematics;Perceptron convergence procedure;Mathematical theorems;Coordinate systems |
語言 | en_US |
ISSN | 0091-1798 2168-894X |
期刊性質 | 國外 |
收錄於 | |
產學合作 | |
通訊作者 | |
審稿制度 | 否 |
國別 | USA |
公開徵稿 | |
出版型式 | ,電子版,紙本 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/72523 ) |