Invariant $P$-values for model checking

Details Invariant $P$-values for model checking Invariant $P$-values for model checking

2010-01-12

arxiv.org/abs/1001.1886v1

Annals of Statistics 2010, Vol. 38, No. 1, 512-525

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/09-AOS727 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/09-AOS727

$P$-values have been the focus of considerable criticism based on various considerations. Still, the $P$-value represents one of the most commonly used statistical tools. When assessing the suitability of a single hypothesized distribution, it is not clear that there is a better choice for a measure of surprise. This paper is concerned with the definition of appropriate model-based $P$-values for model checking.

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