论文信息 - Author ' s personal copy

Author ' s personal copy

Linear and quadratic forms as well as other low degree polynomials play an important role in statistical inference. Asymptotic results and limit distributions are obtained for a class of statistics depending on mþ X, with X any random vector and m non-random vector with JmJ-þ1. This class contain the polynomials in mþ X. An application to the case of normal X is presented. This application includes a new central limit theorem which is connected with the increase of non-centrality for samples of fixed size. Moreover upper bounds for the suprema of the differences between exact and approximate distributions and their quantiles are obtained. & 2009 Elsevier B.V.. All rights reserved.

T. Mexia | Manuela M. Oliveira | Manuela M. Oliveira

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