Evidence with uncertain likelihoods
Synthese 171 (1) (2009)
| Abstract | An agent often has a number of hypotheses, and must choose among them based on observations, or outcomes of experiments. Each of these observations can be viewed as providing evidence for or against various hypotheses. All the attempts to formalize this intuition up to now have assumed that associated with each hypothesis h there is a likelihood function μ h , which is a probability measure that intuitively describes how likely each observation is, conditional on h being the correct hypothesis. We consider an extension of this framework where there is uncertainty as to which of a number of likelihood functions is appropriate, and discuss how one formal approach to defining evidence, which views evidence as a function from priors to posteriors, can be generalized to accommodate this uncertainty. | |||||||||
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Peter Achinstein (1994). Stronger Evidence. Philosophy of Science 61 (3):329-350.
Carl G. Wagner (2001). Old Evidence and New Explanation III. Philosophy of Science 68 (S1):S165-.
Vincenzo Crupi, Roberto Festa & and Tommaso Mastropasqua (2008). Bayesian Confirmation by Uncertain Evidence: A Reply to Huber [2005]. British Journal for the Philosophy of Science 59 (2):201-211.
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James Hawthorne (2011). Confirmation Theory. In Prasanta S. Bandyopadhyay & Malcolm Forster (eds.), Philosophy of Statistics, Handbook of the Philosophy of Science, Volume 7. Elsevier.
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