Let f(x) be the triangular density on 1, 1 defined by f(x) (1 x )I x 1, 1 Let P be the distribution with density f(x) Find the asymptotic behavior of H(P0 , P0 h) as h 0, where H is the Hellinger distance Compare your result with q m d families Section 13 2 ...

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Let f(x) be the triangular density on [1, 1] defined by f(x) = (1 |x|)I{x

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Let f(x) be the triangular density on [−1, 1] defined by f(x) = (1 − |x|)I{x ∈ [−1, 1]} .

Let Pθ be the distribution with density f(x−θ). Find the asymptotic behavior of H(Pθ0 , Pθ0+h) as h → 0, where H is the Hellinger distance. Compare your result with q.m.d. families.

Section 13.2

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Let f(x) be the triangular density on [1, 1] defined by f(x) = (1 |x|)I{x

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