Mathematics – Statistics Theory
Scientific paper
2007-07-05
Communications in Statistics -- Theory and Methods, vol. 37, pp. 1173--1180, 2008
Mathematics
Statistics Theory
20 pages, 27 figures
Scientific paper
In this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitation of normal approximation which is asymptotic in nature and thus inevitably introduce unknown errors in applications. Moreover, the formula is very tight in comparison with classic Clopper-Pearson's approach from the perspective of interval width. Based on the rigorous formula, we also obtain approximate formulas with excellent performance of coverage probability.
Aravena Jorge L.
Chen Xinjia
Zhou Kemin
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