Projects per year
Abstract
A nonnegative martingale with initial value equal to one measures evidence against a probabilistic hypothesis. The inverse of its value at some stopping time can be interpreted as a Bayes factor. If we exaggerate the evidence by considering the largest value attained so far by such a martingale, the exaggeration will be limited, and there are systematic ways to eliminate it. The inverse of the exaggerated value at some stopping time can be interpreted as a pvalue. We give a simple characterization of all increasing functions that eliminate the exaggeration.
Original language  English 

Pages (fromto)  84  101 
Number of pages  17 
Journal  Statistical Science 
Volume  26 
Publication status  Published  2011 
Projects
 1 Finished

The Decision Theory of Hiring and Firing Advisors
Vovk, V. (PI)
Netherlands Organisation for Scientific Research
1/02/11 → 31/01/13
Project: Research