Weak Informativity and the Information in One Prior Relative to Another

Details Weak Informativity and the Information in One Prior Relative to Another Weak Informativity and the Information in One Prior Relative to Another

2012-01-09

arxiv.org/abs/1201.1766v1

Statistical Science 2011, Vol. 26, No. 3, 423-439

Statistics

Methodology

Published in at http://dx.doi.org/10.1214/11-STS357 the Statistical Science (http://www.imstat.org/sts/) by the Institute of M

Scientific paper

10.1214/11-STS357

A question of some interest is how to characterize the amount of information that a prior puts into a statistical analysis. Rather than a general characterization, we provide an approach to characterizing the amount of information a prior puts into an analysis, when compared to another base prior. The base prior is considered to be the prior that best reflects the current available information. Our purpose then is to characterize priors that can be used as conservative inputs to an analysis relative to the base prior. The characterization that we provide is in terms of a priori measures of prior-data conflict.

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