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Jeffreys' prior: Jeffreys (1961) suggested a default rule for generating a prior distribution of a parameter ( in a sampling model p(y|0). Jeffreys' prior is

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Jeffreys' prior: Jeffreys (1961) suggested a default rule for generating a prior distribution of a parameter ( in a sampling model p(y|0). Jeffreys' prior is given by po(8) o VI(0) , where I(0) = -E[03 log p(Y|0)/20210] is the Fisher information. a) Let Y ~ binomial(n, 0). Obtain Jeffreys' prior distribution py(@) for this model. b) Reparameterize the binomial sampling model with

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