頁籤選單縮合
題 名 | On the Convergence of Superpositions of Point Processes |
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作 者 | 黃文璋; 蘇志成; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 3:2 1999.06[民88.06] |
頁 次 | 頁211-223 |
分類號 | 319.5 |
關鍵詞 | Compound poisson process; Random sum of random variables; Superposition of point processes; Thinning of point processes; Extreme-value distribution; Order statistics; Regression model; |
語 文 | 英文(English) |
英文摘要 | In this work, we give conditions for the superposition of independent point processes to converge to a nonhomogeneous two-dimensional Poisson process. Using our results, not only that of Grigelionis (1963) and Weissman (1975), but also some limiting results related to thinned point processes can be obtained. Hence this establishes the connection between thinnings and superpositions of point processes. |
本系統中英文摘要資訊取自各篇刊載內容。