JSM 2004 - Toronto

Abstract #301668

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Activity Number: 57
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 4:00 PM to 5:50 PM
Sponsor: Business and Economics Statistics Section
Abstract - #301668
Title: Simple and General Tests for White Noise
Author(s): Ignacio N. Lobato*+ and Carlos Velasco
Companies: Instituto Tecnologico Autonomo de Mexico and Universidad Carlos III de Madrid
Address: Av Camino Sta Teresa 930, Mexico City, International, 10700, Mexico
Keywords: Gaussianity ; nonparametric ; autocorrelation ; periodogram ; nonlinear dependence
Abstract:

This article considers testing that a time series is uncorrelated when it possibly exhibits some form of nonlinear dependence. Contrary to the currently employed tests that require selecting arbitrary user-chosen numbers to compute the associated tests statistics, we consider tests statistics that are very simple since their asymptotic null distributions are standard under general weak dependent conditions, and hence, asymptotic critical values are readily available. We develop asymptotic theory and study finite sample performance.


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