Lindley-Shannon Information for Comparison of Priors Under Paired Comparisons Model

Muhammad Aslam, Syed Haider Shah

Abstract


One of the main differences between classical statistics and Bayesian statistics is that the latter can utilise prior information in a formal way. This information can be quantified in terms of a probability distribution which is known as the prior distribution. If there is no relevant prior information available then there are ways to derive a 'non-informative' prior distribution. In this study, the informative and non-informative prior distributions for the parameters of the Bradley-Terry model for paired comparison data are compared.

Keywords


prior distribution, non-informative prior, paired comparison method, the Bradley-Terry model, prior predictive distribution

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DOI: http://dx.doi.org/10.18187/pjsor.v11i3.779

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Title

Lindley-Shannon Information for Comparison of Priors Under Paired Comparisons Model

Keywords

prior distribution, non-informative prior, paired comparison method, the Bradley-Terry model, prior predictive distribution

Description

One of the main differences between classical statistics and Bayesian statistics is that the latter can utilise prior information in a formal way. This information can be quantified in terms of a probability distribution which is known as the prior distribution. If there is no relevant prior information available then there are ways to derive a 'non-informative' prior distribution. In this study, the informative and non-informative prior distributions for the parameters of the Bradley-Terry model for paired comparison data are compared.

Date

2015-09-08

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 11 No. 3, 2015



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810