Local Power Properties of Kernel Based Goodness of Fit Tests

Christian Gourieroux and Carlos Tenreiro

Journal of Multivariate Analysis, 2001, vol. 78, issue 2, 161-190

Abstract: If (Xi, i[set membership, variant]) is a strictly stationary process with marginal density function f, we are interested in testing the hypothesis H0: {f=f0}, where f0 is given. We consider different test statistics based on integrated quadratic forms measuring the proximity between fn, a kernel estimator of f, and f0, or between fn and its expected value computed under H0. We study the asymptotic local power properties of the testing procedures under local alternatives. This study generalizes to the multidimensional case in a context of dependence the corresponding one made by P. J. Bickel and M. Rosenblatt in 1973 (Ann. Statist.1, 1071-1095).

Keywords: goodness; of; fit; tests; kernel; density; estimator; integrated; square; error; asymptotic; power; local; alternatives (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (8)

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