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Estimation and testing for varying coefficients in additive models with marginal integration

Yang, Lijian; Härdle, Wolfgang; Park, Byeong U. - 2002

We propose marginal integration estimation and testing methods for the coefficients of varying coefficient multivariate … regression model. Asymptotic distribution theory is developed for the estimation method which enjoys the same rate of convergence … as univariate function estimation. For the test statistic, asymptotic normal theory is established. These theoretical …

Persistent link: https://www.econbiz.de/10009627286

A model specification test

Bartels, Knut - 1998

A general model specification test of a parametric model against a nonparametric or semiparametric alternative is studied. The test statistic employs a fixed kernel, not varying by a bandwidth. This test is proved to be consistent, the asymptotic distribution is derived and shown to be...

Persistent link: https://www.econbiz.de/10009578557

Canonical correlation statistics for testing the cointegration rank in a reversed order

Breitung, Jörg - 1998

In this paper a Canonical Correlation Analysis (CCA) is used to test the hypothesis r = r0 against the alternative r r0. Such a test flips the null and alternative hypotheses of Johansen's LR test and can be used jointly with the LR test to construct a confidence set for the cointegration rank....

Persistent link: https://www.econbiz.de/10009578561

Parametric versus nonparametric goodness of fit : another view

Läuter, Henning; Nikulin, Michail S. - 1999

We consider chi-squared type tests for testing the hypothesis H 0 that a density f of observations X1,..., Xn lies in a parametric class of densities F. We consider a version of chi-squared type test using kernel estimates for the density. The main result is, following Liero, Läuter and Konakov...

Persistent link: https://www.econbiz.de/10009579178

An adaptive, rate-optimal test of a parametric model against a nonparametric alternative

Horowitz, Joel; Spokojnyj, Vladimir G. - 1999

We develop a new test of a parametric model of a conditional mean function against a nonparametric alternative. The test adapts to the unknown smoothness of the alternative model and is uniformly consistent against alternatives whose distance from the parametric model converges to zero at the...

Persistent link: https://www.econbiz.de/10009579179

Comparison of nonparametric goodness of fit tests

Läuter, Henning; Sachsenweger, Cornelia - 1999

maximum-likelihood-estimation (m.l.e.). The power of both tests will be examined under local alternatives. Although both tests …

Persistent link: https://www.econbiz.de/10009579183

Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the hurst coefficient

Hall, Peter; Härdle, Wolfgang; Kleinow, Torsten; … - 1999

the price of a commodity, currency or similar quantity. Interval estimation and hypothesis testing for H are central to …

Persistent link: https://www.econbiz.de/10009581110

Local power of likelihood ratio tests for the cointegrating rank of a VAR process

Saikkonen, Pentti; Lütkepohl, Helmut - 1997

Likelihood ratio (LR) tests for the cointegrating rank of a vector autoregressive (VAR) process have been developed under different assumptions regarding deterministic terms. For instance, nonzero mean terms and linear trends have been accounted for in some of the tests. In this paper we provide...

Persistent link: https://www.econbiz.de/10009659070

Consistency of a least squares orthonormal series estimator for a regression function

Delecroix, Michel; Protopopescu, Camelia - 2000

This paper establishes the almost. sure consistency of least. squares regression series estimators, in the L2-norm and the sup-norm, under very large assumptions on the underlying model. Three examples are considered in order to illustrate the general results: trigonometric series, Legendre...

Persistent link: https://www.econbiz.de/10009582391

One-sided confidence about functionals over tangent cones

Rieder, Helmut - 2000

In the setup of i.i.d. observations and a real valued differentiable functional T, locally asymptotic upper bounds are derived for the power of one-sided tests (simple, versus large values of T) and for the confidence probability of lower confidence limits (for the value of T), in the case that...

Persistent link: https://www.econbiz.de/10009583895