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prior distribution

   Also found in: Dictionary/thesaurus, Medical, Wikipedia 0.01 sec.
prior distribution [¦Prī·ər ‚dis·trə′byü·shən]
(statistics)
A probability distribution on the set of all possible values of an unknown parameter of a statistical model that describes information available from sources other than a statistical investigation, in particular, expert judgment, past experience, or prior belief.


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A prior distribution was specified for steepness (h), the parameter controlling how quickly recruitment approaches its unfished level as spawning biomass increases.
Therefore he begins with inductive PAC-Bayesian learning, covering basic inequality, non local bounds, local bounds and relative bounds, then compares posterior distributions to Gibbs priors, covering bounds relative to a Gibbs distribution, work with two posteriors and two local prior distributions, and two-step localization.
The previous knowledge as represented by the prior distribution of the model parameters is then combined with the new data through Bayes' theorem to yield the current knowledge (represented by the posterior distribution of model parameters).
 
 
 
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