In Bayesian statistics, a strong prior is a preceding assumption, theory, concept or idea upon which, after taking account of new information, a current assumption, theory, concept or idea is founded. The term is used to contrast the case of a weak or uniformative prior probability. A strong prior would be a type of informative prior in which the information contained in the prior distribution dominates the information contained in the data being analysed. The Bayesian analysis combines the information contained in the prior with that extracted from the data to produce the posterior distribution which, in the case of a "strong prior", would be little changed from the prior distribution.
Famous quotes containing the words strong and/or prior:
“Hast ever ben in Omaha
Where rolls the dark Missouri down,
Where four strong horses scarce can draw
An empty wagon through the town?
Where sand is blown from every mound
To fill your eyes and ears and throat;
Where all the steamboats are aground,
And all the houses are afloat?...
If not, take heed to what I say,
You’ll find it just as I have found it;
And if it lies upon your way
For God’s sake, reader, go around it!”
—For the State of Nebraska, U.S. public relief program (1935-1943)
“A diff’rent cause, says Parson Sly,
The same effect may give:
Poor Lubin fears, that he shall die;
His wife, that he may live.”
—Matthew Prior (1664–1721)