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We provide easy to verify sufficient conditions for the consistency and asymptotic normality of a class of semiparametric optimization estimators where the criterion function does not obey standard smoothness conditions and simultaneously depends on some nonparametric estimators that can...
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In this article, we introduce a procedure to test the equality of regression functions when the response variables are censored. The test is based on a comparison of Kaplan-Meier estimators of the distribution of the censored residuals. Kolmogorov-Smirnov- and Cramér-von Mises-type statistics...
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Suppose that "X"<sub><b>1</b></sub>,…, "X"<sub><b>""n""</b></sub> is a sequence of independent random vectors, identically distributed as a "d"-dimensional random vector "X". Let <formula format="inline"><file name="sjos_640_mu1.gif" type="gif" /></formula> be a parameter of interest and <formula format="inline"><file name="sjos_640_mu2.gif" type="gif" /></formula> be some nuisance parameter. The unknown, true parameters ("μ"<sub><b>0</b></sub>,"ν"<sub><b>0</b></sub>) are uniquely determined by the system of...
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Several testing procedures are proposed that can detect change-points in the error distribution of non-parametric regression models. Different settings are considered where the change-point either occurs at some time point or at some value of the covariate. Fixed as well as random covariates are...
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Several classical time series models can be written as a regression model between the components of a strictly stationary bivariate process. Some of those models, such as the ARCH models, share the property of proportionality of the regression function and the scale function, which is an...
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