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The 'standard' confidence interval for a Poisson parameter is only one of anumber of estimation intervals based on the chi-square distribution that may beused in the estimation of the mean or mean rate for a Poisson model. Otherchi-square intervals are available for experimenters using Bayesian orstructural inference methods. Exploring these intervals also leads to otheralternate approximate chi-square intervals. Although coverage probability maynot always be of interest for Bayesian or structural intervals, coverageprobabilities are useful for validating 'objective' priors. Coverageprobabilities are explored for all of the intervals considered.

Chi-square Intervals for a Poisson Parameter - Bayes, Classical and Structural