A stopping time concerning sphere data and its applications
文献类型：期刊论文
| 作者 | Zhu, LX; Cheng, P; Wei, G; Shi, PD |
| 刊名 | ADVANCES IN APPLIED PROBABILITY
 |
| 出版日期 | 1996-09-01 |
| 卷号 | 28期号:3页码:674-686 |
| 关键词 | stopping time lifetime of sphere roller number-theoretic method |
| ISSN号 | 0001-8678 |
| 英文摘要 | Denote by A(x) = {a:\a(r)x\ less than or equal to h} a circle zone on the three-dimensional sphere surface for each given h > 0. For a given integer m, we investigate how many zones chosen randomly are needed to contain at]east one of the points on the sphere surface m times. As an application, the lifetime of a sphere roller is investigated. We present empirical formulas for the mean, standard deviation and distribution of the lifetime of the sphere roller. Furthermore, some limit behaviors of the above stopping time are obtained, such as the limit distribution, the law of the iterated logarithm, and the upper and lower bounds of the tail probability with the same convergent order. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1996VK88900004 |
| 出版者 | APPLIED PROBABILITY TRUST |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28805]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, LX |
| 作者单位 | CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | Zhu, LX,Cheng, P,Wei, G,et al. A stopping time concerning sphere data and its applications[J]. ADVANCES IN APPLIED PROBABILITY,1996,28(3):674-686. |
| APA | Zhu, LX,Cheng, P,Wei, G,&Shi, PD.(1996).A stopping time concerning sphere data and its applications.ADVANCES IN APPLIED PROBABILITY,28(3),674-686. |
| MLA | Zhu, LX,et al."A stopping time concerning sphere data and its applications".ADVANCES IN APPLIED PROBABILITY 28.3(1996):674-686. |
入库方式： OAI收割
来源：数学与系统科学研究院
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