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Testing Hypotheses on fouriercoefficients in non parametricregression model
Authors:
Zaher Mohdeb a;
Abdelkader Mokkadem a
| Affiliation: | a D partement de Mathmatiques 45, Universit de Versailles-St-Quentin, Versailles Cedex, France |
DOI:
10.1080/10485250108832868
Publication Frequency:
8 issues per year
Subjects:
Mathematical Economics;
Mathematical Finance;
Medical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
We consider the nonlinear nonparametnc regression model with regression function ƒ We construct tests for hypotheses on Fourier coefficients of ƒ in a given band of frequencies. Such tests can be used in particular to compare two noisy signals in a frequency band. The test statistics, we use, are based on the empirical Fourier coefficients of the regression function ƒ.
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| Keywords: Nonlinear regression model; Empirical Fourier coefficient; Nonparametric test |
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