| 凸函数的某些性质及其在凸损失下Bayes估计中的应用 |
| |
| 引用本文： | 邹原. 凸函数的某些性质及其在凸损失下Bayes估计中的应用[J]. 高校应用数学学报(A辑), 1992, 7(4): 594-602 |
| |
| 作者姓名： | 邹原 |
| |
| 作者单位： | 武汉大学数学系 邮码 |
| |
| 摘 要： | 本文从微分的角度给出了凸函数的充要条件及其某些性质.据此我们推广了1963年Degroot和Rao在凸损失下的Bayes估计的主要结果.
|
| 关 键 词： | 凸函数 数学期望 贝叶斯估计 |
ON SOME PROPERTIES OF CONVEX FUNCTIONS AND THEIR APPLICATIONS IN BAYES ESTIMATION WITH THE CONVEX LOSS |
| |
| Zou Yuan. ON SOME PROPERTIES OF CONVEX FUNCTIONS AND THEIR APPLICATIONS IN BAYES ESTIMATION WITH THE CONVEX LOSS[J]. Applied Mathematics A Journal of Chinese Universities, 1992, 7(4): 594-602 |
| |
| Authors: | Zou Yuan |
| |
| Affiliation: | Wuhan University |
| |
| Abstract: | In this paper, we first discuss some properties of convex functions, and then we apply these results to improve DeGroot and Rao's main theory about Bayes estimation with the convex loss in 1963. |
| |
| Keywords: | Convex Functions Mathematical Expectation Bayes Estimation. |
| 本文献已被 CNKI 维普 等数据库收录！ |
