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Jeffreys' prior for the (success) probability p in a geometric distribution (or FS distribution) is: f(p) p 1 (1 p) 1/2 which is an improper

Jeffreys' prior for the (success) probability p in a geometric distribution (or FS distribution) is: f(p) p1(1 p)1/2 which is an improper distribution (but can be viewed as a "Beta(0, 1/2) distribution"). Show that the above is Jeffreys' prior for the geometric distribution.

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