Weak Convergence Page 1 1.3 Weak Convergence In this section IDl and IE are metric spaces
with metrics d and e, respectively. The set of all continuous, bounded functions f: IDl 1--+ IR is …

This book tries to do three things. The first goal is to give an exposition of certain modes of
stochastic convergence, in particular convergence in distribution. The classical theory of this …

We present and study a procedure for testing the null hypothesis of multivariate elliptical
symmetry. The procedure is based on the averages of some spherical harmonics over the …

We propose and study the class of Box–Cox elliptical distributions. It provides alternative
distributions for modeling multivariate positive, marginally skewed and possibly heavy-tailed …

Ata method is a new univariate time series forecasting method that provides innovative
solutions to issues faced during the initialization and optimization stages of existing …

Most sufficient dimension reduction methods hinge on the existence of finite moments of the
predictor vector, a characteristic which is not necessarily warranted for every elliptically …

Transformation models are a very important tool for applied statisticians and
econometricians. In many applications, the dependent variable is transformed so that …

There exist a number of tests for assessing the nonparametric heteroskedastic location-
scale assumption. The goodness-of-fit tests considered are for the more general hypothesis …

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This article describes estimation and inference procedures for the parameters of the Box-
Cox and foided-power transformations in repeated measures and growth curve models …