In Bayesian statistics, a **strong prior** refers to a prior distribution that has a significant influence on the posterior distribution, particularly when the available data is limited or not very informative. In Bayesian analysis, the prior distribution represents the beliefs or knowledge about a parameter before observing any data. When we have a strong prior, it typically means that the prior is sharply peaked or has substantial weight in certain regions of the parameter space, which affects the resulting posterior distribution after data is incorporated.
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