Suppose that has a beta distribution with parameters (a, b), and that the conditional distribution of given
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Suppose that has a beta distribution with parameters (a, b), and that the conditional distribution of given that X = x is binomial with parameters (n + m, x). Show that the conditional density of x given that N = n is the density of a beta random variable with parameters (n + a, m + b). N is said to be a beta binomial random variable.
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The conditional density of x given that N n is given by fxNn n mnmb xnm 1xmb Bnamb where B is the be...View the full answer
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