A stopping time concerning sphere data and its applications

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	A stopping time concerning sphere data and its applications
	Zhu, LX; Cheng, P; Wei, G; Shi, PD
	1996-09-01
发表期刊	ADVANCES IN APPLIED PROBABILITY
ISSN	0001-8678
卷号	28 期号:3 页码:674-686
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.
关键词	stopping time lifetime of sphere roller number-theoretic method
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:A1996VK88900004
出版者	APPLIED PROBABILITY TRUST
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28806
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.