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J. Stamey and C. Hamillton, “A Note on Confidence Intervals for a Linear Function of Poisson Rates,” Communications in Statistics-Theory and Methods, Vol. 35, No. 4, 2005, pp. 849-856. doi:10.1080/03610920802255856

has been cited by the following article:

• TITLE: Approximate Confidence Interval for the Mean of Poisson Distribution

  AUTHORS: Manad Khamkong

  KEYWORDS: Confidence Interval; Coverage Probability; Poisson Distribution; Expected Width; Wald Interval

  JOURNAL NAME: Open Journal of Statistics, Vol.2 No.2, April 23, 2012

  ABSTRACT: A Poisson distribution is well used as a standard model for analyzing count data. Most of the usual constructing confidence intervals are based on an asymptotic approximation to the distribution of the sample mean by using the Wald interval. That is, the Wald interval has poor performance in terms of coverage probabilities and average widths interval for small means and small to moderate sample sizes. In this paper, an approximate confidence interval for a Poisson mean is proposed and is based on an empirically determined the tail probabilities. Simulation results show that the pro- posed interval outperforms the others when small means and small to moderate sample sizes.