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Class of time-domain procedures for testing that a stationary time series is Gaussian

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Résumé

In this contribution, a class of time-domain procedures for testing that a stationary time-series is Gaussian, is presented. These tests are based on minimum chi-square statistics in the deviations of certain sample statistics from their ensemble counterpart. Exact asymptotic distributions of these tests are derived under the null hypothesis of Gaussianity and under a class of local and fixed alternatives. Two specific tests are then developed, based respectively on the third-order and the fourth-order moments and on the characteristic functions. Extensive simulations are presented to illustrate the power of the test against various alternatives (including additive and non-additive contaminations and non-linear serial dependence.

langue originaleAnglais
titreProceedings of SPIE - The International Society for Optical Engineering
rédacteurs en chefFranklin T. Luk
EditeurSociety of Photo-Optical Instrumentation Engineers
Pages138-149
Nombre de pages12
ISBN (imprimé)0819416207
étatPublié - 1 déc. 1994
EvénementAdvanced Signal Processing: Algorithms, Architectures, and Implementations V - San Diego, CA, USA
Durée: 24 juil. 199427 juil. 1994

Série de publications

NomProceedings of SPIE - The International Society for Optical Engineering
Volume2296
ISSN (imprimé)0277-786X

Une conférence

Une conférenceAdvanced Signal Processing: Algorithms, Architectures, and Implementations V
La villeSan Diego, CA, USA
période24/07/9427/07/94

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