For each family in Exercise 3.28, describe the natural parameter space. In Exercise 3.28 Show that each
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In Exercise 3.28
Show that each of the following families is an exponential family.
(a) Normal family with either parameter μ or σ known
(b) Gamma family with either parameter α or α known or both unknown
(c) Beta family with either parameter α or β known or both unknown
(d) Poisson family
(e) Negative binomial family with r known, 0 < p < 1
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a For the n 2 so the natural parameter is 1 2 12 2 2 with ...View the full answer
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