Higher Order Asymptotics

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IMS, 1994 - Mathematics - 111 pages
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Page 28 - ... the sum of the first three terms on the right side of Eq.
Page 16 - It follows by the implicit function theorem that there exists a neighborhood...
Page 15 - So if H is (s — 1) times continuously differentiable in a neighborhood of //-(0), the estimate Tn = H(Z) has a valid Edgeworth expansion correct up to o(n-(s~2)/2).
Page 2 - AP p(x\0) is thrice continuously differentiable as a function of 6, interchanges of differentiation with respect to 0 and integration with respect to x are valid, and log p '. ), E(M(X)\0) <K for all 0

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