For each of the following families:
(i) Verify that it is an exponential family.
(ii) Describe the curve on which the 0 parameter vector lies.
(iii) Sketch a graph of the curved parameter space.
(a) n(θ,θ)
(b) n(θ,aθ2), a known
(c) gamma(α, 1/α)
(d) f(x|θ) = Cexp (-(x - 0)4), C a normalizing constant