This survey intends to collect the developments on Goodness-of-Fit for regression models
during the last 20 years, from the very first origins with the proposals based on the idea of …

The empirical characteristic function (ECF) has been in use in statistical inference for nearly
fifty years now. We provide an overview of testing procedures based on the ECF within …

A class of goodness-of-fit tests based on the empirical characteristic function is studied. They
can be applied to continuous as well as to discrete or mixed data with any arbitrary fixed …

Abstract Let X 1, X 2,… be independent and identically distributed random elements taking
values in a separable Hilbert space ℍ. With applications for functional data in mind, ℍ may …

We consider goodness-of-fit testing for multivariate stable distributions. The proposed test
statistics exploit a characterizing property of the characteristic function of these distributions …

We consider two-sample tests for functional data with observations which may be uni-or
multi-dimensional. The new methods are formulated as L 2-type criteria based on empirical …

This paper studies the problem of simultaneously testing that each of k independent
samples come from a normal population. The means and variances of those populations …

We provide general results on the consistency of certain bootstrap methods applied to
degree-2 degenerate statistics of U-type and V-type. While it follows from well known results …

This article studies a new procedure to test for the equality of k regression curves in a fully
non‐parametric context. The test is based on the comparison of empirical estimators of the …

There is an increasing number of goodness-of-fit tests whose test statistics measure
deviations between the empirical characteristic function and an estimated characteristic …