CSpace
A stopping time concerning sphere data and its applications
Zhu, LX; Cheng, P; Wei, G; Shi, PD
1996-09-01
Source PublicationADVANCES IN APPLIED PROBABILITY
ISSN0001-8678
Volume28Issue:3Pages:674-686
AbstractDenote 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.
Keywordstopping time lifetime of sphere roller number-theoretic method
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:A1996VK88900004
PublisherAPPLIED PROBABILITY TRUST
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28806
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE 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.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhu, LX]'s Articles
[Cheng, P]'s Articles
[Wei, G]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhu, LX]'s Articles
[Cheng, P]'s Articles
[Wei, G]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhu, LX]'s Articles
[Cheng, P]'s Articles
[Wei, G]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.