頁籤選單縮合
題 名 | Strong Laws for Ratios of Order Statistics from Exponentials |
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作 者 | Adler, André; | 書刊名 | Bulletin of the Institute of Mathematics, Academia Sinica New Series |
卷 期 | 10:1 2015.03[民104.03] |
頁 次 | 頁101-111 |
分類號 | 314.55 |
關鍵詞 | Almost sure convergence; Order statistics; Regular variation; Strong laws of large numbers; |
語 文 | 英文(English) |
英文摘要 | The random variables examined are independent and identically distributed expo- nentials. The mean of these random variables can change from sample to sample. Within each sample we observe the ratio of various order statistics. Then we establish strong laws for these ratios. The most important statistic is the ratio of the two smallest order statistics within each sample. The distribution of this statistic is very interesting. It has infinite mean, but barely, which produces a very unusual strong law. |
本系統中英文摘要資訊取自各篇刊載內容。