Let X1,X2,...Xn be i.i.d. N-dimensional random variables having an unknown support of probability density denoted G; we suppose that G belongs to a functional class "g" of compact sets with smooth upper surface called boundary fragments. The problem consists in testing the hypotheses G=Go...

In this paper the interest is in testing whether a regression function is polynomial of a certain degree. One possible approach to this testing problem is to do a parametric polynomial fit and a nonparametric fit and to reject the null hypothesis of a polynomial function if the distance between...

This paper describes the estimation and testing of regression models that include multivariate generated or computed regressors in the presence of heteroskedasticity in the cross-section case. Heteroskedasticity is often a problem in cross-section data and the usual tests for its presence can...

The aim of this paper is to provide a simulation-based analysis on the bahavior of the Durbin-Watson statistic as a misspecification test againstthe presence of unbalanced regressions among nonstationary fractionally integrated process. Theoretically, it is well-known that this statistic...

This paper considers regression-based test criteria for the hypothesis of conditional variance nonstationary in the logarithmic family of GARCH processes. The tests are based on teh ARMA representations that appropriate nonlinear transformations of GARCH-type processes admit. Simulation...

This paper compares the power in small samples of different tests for conditional heteroscedasticity. Two new tests, based on neural networks, are proposed: the main interest in them arises from the fact that they do not require the exact specification of the conditional variance under the...

Simulation-based estimation methods have become more wideky used in recent years. We propose a set of tests for structural Change in model estimates via Simulated Method of Moments (see Duffie and Singleton (1993)). These tests extend the recent work of Andrews (1993) and Sowell (1996a, b) which...

It is a well-known fact that in linear regressions involving the levels of nonstationary fractionally integrated process spuriously related, the Durbin-Watson statistic converges in probability to zero. In this paper, however, we prove using Monte-Carlo experiments that the behaviour of this...

In this paper we address the issue of the efficient estimation of the cointegrating vector in linear regression models with variables that follow general (higher order and fractionally) integrated processes.

Non parametric and parametric estimation for the spectral density of a stationary process is a well-known topic, except when the spectrum vanishes for some frequency. Indeed, for this frequency, the limit law degenerates, and traditional inference no longer applies. The paper introduces non...