Journal
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Volume 35, Issue 4, Pages 849-856Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610910600880195
Keywords
Jeffreys prior; t distribution; Wald interval
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We consider three interval estimators for linear functions of Poisson rates: a Wald interval, a t interval with Satterthwaite's degrees of freedom, and a Bayes interval using noninformative priors. The differences in these intervals are illustrated using data from the Crash Records Bureau of the Texas Department of Public Safety. We then investigate the relative performance of these intervals via a simulation study. This study demonstrates that the Wald interval performs poorly when expected counts are less than 5, while the interval based on the noninformative prior performs best. It also shows that the Bayes interval and the interval based on the t distribution perform comparably well for more moderate expected counts.
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