Frontiers of Mathematics in China >
Tolerance interval for exponential distribution
Received date: 17 Oct 2010
Accepted date: 09 Mar 2011
Published date: 01 Dec 2011
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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.
Key words： Tolerance interval; exponential distribution
Jiong DU , Xiangzhong FANG . Tolerance interval for exponential distribution[J]. Frontiers of Mathematics in China, 2011 , 6(6) : 1059 -1066 . DOI: 10.1007/s11464-011-0117-x
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