KMS Of Academy of mathematics and systems sciences, CAS
A stopping time concerning sphere data and its applications | |
Zhu, LX; Cheng, P; Wei, G; Shi, PD | |
1996-09-01 | |
Source Publication | ADVANCES IN APPLIED PROBABILITY |
ISSN | 0001-8678 |
Volume | 28Issue:3Pages:674-686 |
Abstract | 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. |
Keyword | stopping time lifetime of sphere roller number-theoretic method |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:A1996VK88900004 |
Publisher | APPLIED PROBABILITY TRUST |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/28806 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA |
Recommended Citation 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. |
Files in This Item: | ||||||
There are no files associated with this item. |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment