期刊論文
| 學年 | 86 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 1998-02-01 |
| 作品名稱 | Two characteristic properties of the exponential distribution based on order statistics |
| 作品名稱（其他語言） | |
| 著者 | Wu, Jong-wuu; Ouyang, L. Y. |
| 單位 | 淡江大學統計學系 |
| 出版者 | New Delhi: TARU Publications |
| 著錄名稱、卷期、頁數 | Journal of Interdisciplinary Mathematics 1(1), pp.93-100 |
| 摘要 | Let X be a random variable with continuous distribution nmction F(x) on the interval [0,∞), and let X 1:n ≤ X 2:n ≤ ... ≤ X n:n be the order statistics of a random sample of size n (≥ 2) from F(x). If F(x) is continuous and strictly increasing for all x > 0, then for any i and j, 1 ≤ i < j ≤ n, X j:n – X j-i:n-i have identical distribution characterize the exponential distribution. This characteristic property improve the result of Ahsanullah [2]. In addition, the characterization is preserved if F(x) is absolutely continuous and “have identical distribution” is weakened to “have identical fmite expectation”. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0972-0502 2169-012X |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | IND |
| 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/987654321/20713 ) |