On the Confidence Interval for the parameter of Poisson Distribution

S. I. Bityukov; N. V. Krasnikov; V. A. Taperechkina

On the Confidence Interval for the parameter of Poisson Distribution

Data Analysis, Statistics and Probability 2007-05-23 v3

Authors: S. I. Bityukov , N. V. Krasnikov , V. A. Taperechkina

Abstract

The possibility of construction of continuous analogue of Poisson distribution with the search of bounds of confidence intervals for parameter of Poisson distribution is discussed. Also, in the article is shown that the true value of a parameter of Poisson distribution for the observed value $\hat x$ has Gamma distribution with the scale parameter, which is equal to one, and the shape parameter, which is equal to $\hat x$ . The results of numerical construction of confidence intervals are presented.

Keywords

probability distributions

Cite

@article{arxiv.physics/0008082,
  title  = {On the Confidence Interval for the parameter of Poisson Distribution},
  author = {S. I. Bityukov and N. V. Krasnikov and V. A. Taperechkina},
  journal= {arXiv preprint arXiv:physics/0008082},
  year   = {2007}
}

Comments

12 pages (1 LaTeX file), 3 eps files (figures), references to Sections are corrected

On the Confidence Interval for the parameter of Poisson Distribution

Abstract

Keywords

Cite

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