頁籤選單縮合
題名 | Stable Poisson Convergence for Integer-Valued Random Variables |
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作者 | Cheng, Tsung-lin; Yang, Shun-yi; | 書刊名 | Taiwanese Journal of Mathematics |
卷期 | 17:6 2013.12[民102.12] |
頁次 | 頁1869-1885 |
分類號 | 310 |
關鍵詞 | Stable poisson convergence; |
語文 | 英文(English) |
英文摘要 | In this paper, we obtain some stable Poisson Convergence Theorems for arrays of integer-valued dependent random variables. We prove that the limiting distribution is a mixture of Poisson distribution when the conditional second moments on a given σ -algebra of the sequence converge to some positive random variable. Moreover, we apply the main results to the indicator functions of rowise interchangeable events and obtain some interesting stable Poisson convergence theorems. |
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