| 正格子点上L族的若干注记 |
| |
| 引用本文： | 杨洋,王岳宝,张燕,张永良.正格子点上L族的若干注记[J].南京师大学报,2006,29(1):30-33. |
| |
| 作者姓名： | 杨洋 王岳宝 张燕 张永良 |
| |
| 作者单位： | [1]南京审计学院应用数学系,江苏南京210029 [2]苏州大学数学系,江苏苏州215006 |
| |
| 基金项目： | 中国科学院资助项目;南京审计学院校科研和教改项目 |
| |
| 摘 要： | 为了获得重尾分布子族，．族的相关性质和结果。本文采用数学归纳法，给出了正格子点上，族的独立同分布列（i．i．d．）Poisson逼近的等价条件及判别该列能否Poisson逼近的一个方法。它比Embrechts等给出的检验方法更简洁．另一方面，给出了正格子点上，族的可加性的一个特别的证明．
|
| 关 键 词： | 重尾分布 L族 正格子点 |
| 文章编号： | 1001-4616（2006）01-0030-04 |
| 收稿时间： | 2004-10-12 |
| 修稿时间： | 2004年10月12 |
Some Notes on the Positive Lattice Long-Tailed Family |
| |
| Yang Yang,Wang Yuebao,Zhang Yan,Zhang Yongliang.Some Notes on the Positive Lattice Long-Tailed Family[J].Journal of Nanjing Normal University(Natural Science Edition),2006,29(1):30-33. |
| |
| Authors: | Yang Yang Wang Yuebao Zhang Yan Zhang Yongliang |
| |
| Institution: | 1. Department of Applied Mathematics, Nanjing Audit University, Nanjing 210029,China;2. Department of Mathematics, Soochow University, Suzhou 215006, China |
| |
| Abstract: | In order to obtain some properties of Long-tailed family, this paper uses mathematical induction, gives the equivalent condition of Possion approximation of i. i.d.r.v, s in the positive lattice Longtailed family, hence obtains a method, which can check whether i. i.d.r.v, s in the positive lattice Longtailed family can be Poisson approximated. This method is more concise than that in Embrechts et al. On the other hand, we give a special proof of the additivity of the positive lattice Long-tailed family. |
| |
| Keywords: | Heavy-tailed distribution Long-tailed family(L) positive lattice |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
