Hypothesis Testing and Confidence Regions for the Mean Sojourn Time of an M/M/1 Queueing System

doi:10.1080/03610920903340615

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	Hypothesis Testing and Confidence Regions for the Mean Sojourn Time of an M/M/1 Queueing System
	Xu, Xingzhong 1; Zhang, Qian 1; Ding, Xiaobo2
	2011
发表期刊	COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
ISSN	0361-0926
卷号	40 期号:1 页码:28-39
摘要	This article discusses testing hypotheses and confidence regions with correct levels for the mean sojourn time of an M/M/1 queueing system. The uniformly most powerful unbiased tests for three usual hypothesis testing problems are obtained and the corresponding p values are provided. Based on the duality between hypothesis tests and confidence sets, the uniformly most accurate confidence bounds are derived. A confidence interval with correct level is proposed.
关键词	Confidence interval M M 1 queueing system Mean sojourn time p value Uniformly most accurate confidence bounds Uniformly most powerful tests
DOI	10.1080/03610920903340615
语种	英语
资助项目	NNSF of China[10771015]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000282126900004
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12639
专题	应用数学研究所
通讯作者	Zhang, Qian
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xingzhong,Zhang, Qian,Ding, Xiaobo. Hypothesis Testing and Confidence Regions for the Mean Sojourn Time of an M/M/1 Queueing System[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2011,40(1):28-39.
APA	Xu, Xingzhong,Zhang, Qian,&Ding, Xiaobo.(2011).Hypothesis Testing and Confidence Regions for the Mean Sojourn Time of an M/M/1 Queueing System.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,40(1),28-39.
MLA	Xu, Xingzhong,et al."Hypothesis Testing and Confidence Regions for the Mean Sojourn Time of an M/M/1 Queueing System".COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 40.1(2011):28-39.