A classroom approach to the construction of Bayesian credible intervals of a Poisson mean. Issue 22 (16th November 2020)

• Record Type: Journal Article
• Authors: Andersson, Per Gösta
• Is Part Of: Communications in statistics. Volume 49:Issue 22(2020)
• Page Start: 5493
• Page End: 5503
• Publication Date: 2020-11-16
• Subjects: Gamma distribution -- posterior -- prior; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1619768
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: The Poisson distribution is here used to illustrate Bayesian inference concepts with the ultimate goal to construct credible intervals for a mean. The evaluation of the resulting intervals is in terms of "mismatched" priors and posteriors. The discussion is in the form of an imaginary dialog between a teacher and a student, who have met earlier, discussing and evaluating the Wald and score confidence intervals, as well as confidence intervals based on transformation and bootstrap techniques. From the perspective of the student the learning process is akin to a real research situation. The student is supposed to have studied mathematical statistics for at least two semesters.