期刊論文
| 學年 | 89 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2001-03-01 |
| 作品名稱 | Criteria for the Unique Determination of Probability Distributions by Moments |
| 作品名稱（其他語言） | |
| 著者 | Pakes, Anthony G.; Hung, Wen-liang; Wu, Jong-wuu |
| 單位 | 淡江大學統計學系 |
| 出版者 | Wiley-Blackwell |
| 著錄名稱、卷期、頁數 | Australian & New Zealand Journal of Statistics 43(1), pp.101-111 |
| 摘要 | A positive probability law has a density function of the general form Q(x) exp(−x1/λL(x)), where Q is subject to growth restrictions, and L is slowly varying at infinity. This law is determined by its moment sequence when λ < 2, and not determined when λ > 2. It is still determined when λ = 2 and L(x) does not tend to zero too quickly. This paper explores the consequences for the induced power and doubled laws, and for mixtures. The proofs couple the Carleman and Krein criteria with elementary comparison arguments. |
| 關鍵字 | Carleman and Krein conditions;moment problem |
| 語言 | en |
| ISSN | 1369-1473 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | AUS |
| 公開徵稿 | |
| 出版型式 | ,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/20585 ) |