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Prior probability
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=== Examples === Examples of improper priors include: * The [[uniform distribution (continuous)|uniform distribution]] on an infinite interval (i.e., a half-line or the entire real line). * Beta(0,0), the [[beta distribution]] for ''Ξ±''=0, ''Ξ²''=0 (uniform distribution on [[log-odds]] scale). * The logarithmic prior on the [[positive reals]] (uniform distribution on [[log scale]]).{{Citation needed|date=October 2010}} These functions, interpreted as uniform distributions, can also be interpreted as the [[likelihood function]] in the absence of data, but are not proper priors.
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