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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front Math Chin    2011, Vol. 6 Issue (6) : 1059-1066    https://doi.org/10.1007/s11464-011-0117-x
RESEARCH ARTICLE
Tolerance interval for exponential distribution
Jiong DU, Xiangzhong FANG()
School of Mathematical Science, Statistical Center, LMAM, Peking University, Beijing 100871, China
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Abstract

Tolerance interval is a kind of interval that assures the probability of at least a given proportion of population falls into the interval attains to a fixed level. It is widely needed in various industrial practices and business activities, such as product design, reliability analysis, and quality inspection. However, comparing to its widely needs, the research on it is still quite limited. In this paper, we propose a numerical method to compute the tolerance interval for exponential distribution. As the simulation study illustrates, our method performs consistently well as the sample size varies. In particular, its good performance for small sample endows itself broadly potential usefulness in practice.

Keywords Tolerance interval      exponential distribution     
Corresponding Author(s): FANG Xiangzhong,Email:xzfang@math.pku.edu.cn   
Issue Date: 01 December 2011
 Cite this article:   
Jiong DU,Xiangzhong FANG. Tolerance interval for exponential distribution[J]. Front Math Chin, 2011, 6(6): 1059-1066.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-011-0117-x
https://academic.hep.com.cn/fmc/EN/Y2011/V6/I6/1059
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