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|Title: ||Asymptotic linearity and limit distributions, approximations.|
|Authors: ||Mexia, J.T., Oliveira, M.M.,|
|Keywords: ||Asymptotic linearity|
|Issue Date: ||2010|
|Abstract: ||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 m þ X, with X any random vector and m non-random
vector with JmJ-þ1. This class contain the polynomials in m þ 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.|
|Appears in Collections:||CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica|
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