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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

Testing the diffusion coefficient

Kleinow, Torsten - 2002

In mathematical finance diffusion models are widely used and a variety of different parametric models for the drift and diffusion coefficient coexist in the literature. Since derivative prices depend on the particular parametric model of the diffusion coefficient function of the underlying, a...

Persistent link: https://www.econbiz.de/10009622677

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

Deterministic seasonality versus seasonal fractional integration

Gil-Alaña, Luis A. - 2000

We make use in this article of a testing procedure suggested by Robinson (1994) for testing deterministic seasonality versus seasonal fractional integration. A new test statistic is developed to simultaneously test both, the order of integration of the seasonal component and the need of seasonal...

Persistent link: https://www.econbiz.de/10009612017

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

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

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