Abstract

CORREA, JUAN CARLOS. Interval Estimation for the Poisson Distribution Parameter with a Single Observation. Rev.Colomb.Estad. [online]. 2007, vol.30, n.1, pp.69-75. ISSN 0120-1751.

The estimation of the parameter of the Poisson distribution, say λ, is an important task in applied statistics. Frequently we only have available a single observation and our goal is to construct a confidence interval. We illustrate under what conditions we can construct a confidence interval based on three methods: central limit theorem, exact method, and the likelihood ratio method. We also illustrate this problem constructing a confidence interval for the rate of suicides in Colombia.

Keywords : Estimation; Confidence interval; Small sample size; Central limit theorem; Likelihood ratio.

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