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Interval estimation for the Poisson distribution parameter with a single observation. (Spanish. English summary) Zbl 1148.62015
Summary: The estimation of the parameter of the Poisson distribution, say \(\lambda\), 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 illustrate this problem constructing a confidence interval for the rate of suicides in Colombia.
MSC:
62F25 Parametric tolerance and confidence regions
60F05 Central limit and other weak theorems
65C60 Computational problems in statistics (MSC2010)
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