頁籤選單縮合
| 題 名 | Product Processes in Varying Environments |
|---|---|
| 作 者 | Konsowa,Mokhtar H.; | 書刊名 | Taiwanese Journal of Mathematics |
| 卷 期 | 1:1 1997.03[民86.03] |
| 頁 次 | 頁65-73 |
| 分類號 | 310 |
| 關鍵詞 | Branching processes; Varying environments; Nonextinction; Martingale; Limit theorems; |
| 語 文 | 英文(English) |
| 英文摘要 | A particular type of branching processes in varying environments is considered. It is assumed that all individuals of the same generation produce, given that the preceding generation is not extinct, randomly and independently of the past generations the same number of children. We show that the number of children in the nth generation normed by its expectation converges almost surely to a limit whose expectation is 0 or 1. We give a sufficient condition for convergence in quadratic mean to a limit whose mean is one. A nonclassical norming sequence of constants in defined so that the almost sure limit is finite greater than zero with probability 1. We also show, under certain circumstances, that the almost sure limit has infinite mean. |
本系統中英文摘要資訊取自各篇刊載內容。