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題 名 | On φ-mixing Random Variables=關於φ-混合隨機變數 |
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作 者 | 闕文賜; 張瓊文; 謝碧雪; | 書刊名 | 嘉南學報 |
卷 期 | 25 1999.11[民88.11] |
頁 次 | 頁185-190 |
分類號 | 319.16 |
關鍵詞 | φ-混合; 穩定; 幾乎處處; 弱相關; φ-mixing; Stationary; Almost sure representation; Weak dependent; |
語 文 | 英文(English) |
中文摘要 | 設{Yi: -∞< i <∞}和{Xi:∞< i <∞}為兩個ψ-混合穩定的隨機變數序列。P (Yi =1) =l-P (Yi =0) =pn。定義Sn=Y1+ ...+Yn,在不同的ψ-混合條件下,我們分別得到Sn-np □的幾乎處處近似表現率,並用此証明Xi的經驗累積分配函數之幾乎處處近似表現。 |
英文摘要 | Let {Yi: -∞< i <∞} and {Xi:∞< i <∞} he twoψ-mixing stationary sequences of random variables with P (Yi =1) =l-P (Yi =0) =pn. Define Sn=Y1+ ...+Yn. Then we obtain the rates of the asymptotic almost sure representation of Sn-np□ under different ψ-mixing conditions and are used for proving the asymptotic almost sure representation of the empirical distribution function of Xi. |
本系統中英文摘要資訊取自各篇刊載內容。