Question: Verify that the following transformations are approximately variance-stabilizing in the sense of Exercise 11.1. (a) Y ~ Poisson, g*(y) = y (b) y ~ binomial(n,

Verify that the following transformations are approximately variance-stabilizing in the sense of Exercise 11.1.
(a) Y ~ Poisson, g*(y) = √y
(b) y ~ binomial(n, p), g*(y) = sin-1(√y/n)
(c) y has variance v(θ) = Kθ2 for some constant K, g*(y) = log(y).

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