| 一类常见次指数族的充分条件和必要条件 |
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| 引用本文： | 王开永,王岳宝.一类常见次指数族的充分条件和必要条件[J].数学杂志,2006,26(6):623-628. |
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| 作者姓名： | 王开永 王岳宝 |
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| 作者单位： | 苏州大学数学科学学院,江苏苏州,215006 |
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| 基金项目： | 国家自然科学基金资助项目(10271087). |
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| 摘 要： | 本文利用Cline和Samorodnitsky(1994)的方法,讨论了长尾分布族及其相关分布族的若干性质,在此基础上,分别获得了一类次指数分布族及其相关的分布族的充分条件和必要条件.
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| 关 键 词： | 次指数族 长尾分布族 充分条件 必要条件 |
| 文章编号： | 0255-7797（2006）06-0623-06 |
| 收稿时间： | 2004-05-10 |
| 修稿时间： | 2004-05-102004-10-28 |
THE SUFFICIENT CONDITION AND THE NECESSARY CONDITION OF A CLASS OF SUBEXPONENTIAL DISTRIBUTION FUNCTIONS |
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| WANG Kai-yong,WANG Yue-bao.THE SUFFICIENT CONDITION AND THE NECESSARY CONDITION OF A CLASS OF SUBEXPONENTIAL DISTRIBUTION FUNCTIONS[J].Journal of Mathematics,2006,26(6):623-628. |
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| Authors: | WANG Kai-yong WANG Yue-bao |
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| Affiliation: | School of Mathematical Science, Soochow University, Suzhou 215006, China |
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| Abstract: | In this paper, we use the method of Cline and Samorodnitsky(1994) to discuss the properties of the long-tailed disrtibution and its related distribution. On the basis of this study, we obtain the sufficient condition and the necessary condition of a class of subexponential distribution and its related distributions. |
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| Keywords: | the class of subexponential distribution functions the class of long-tailed distribution functions sufficient condition necessary condition |
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