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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Bayesian Approach to the Estimation of a Poisson Mean with Application to NBA Three Point Attempts

Patricia Pepple Williamson1
  • 1 Case Western Reserve University, United States

Abstract

Bayesian Credible Intervals are proposed for a Poisson mean. These intervals are compared to five classical confidence intervals found in the literature. A simulation study is performed to compare the procedures using two different criteria and it is attempted to determine which of the procedures performs best for various values of the parameter and sample size. Estimation of the number of three-point shot attempts and three-point shot makes by the San Antonio Spurs is given as an example.

Journal of Mathematics and Statistics
Volume 14 No. 1, 2018, 219-231

DOI: https://doi.org/10.3844/jmssp.2018.219.231

Submitted On: 9 May 2018 Published On: 12 November 2018

How to Cite: Williamson, P. P. (2018). Bayesian Approach to the Estimation of a Poisson Mean with Application to NBA Three Point Attempts. Journal of Mathematics and Statistics, 14(1), 219-231. https://doi.org/10.3844/jmssp.2018.219.231

Open AccessCopyright: © 2018 Patricia Pepple Williamson. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Pivotal Quantity
  • Bayesian Credible Interval
  • Noninformative Prior
  • Posterior Distribution
  • Expected Fisher Information