This paper is primarily concerned with extending the results of Brandwein and Strawderman in the usual canonical setting of a general linear model when sampling from a spherically symmetric distribution. When the location parameter belongs to a proper linear subspace of the sampling space, we...

This article deals with quantitative results by involving the standard modulus of continuity in Banach spaces. These concern convergence in distribution for Banach space-valued martingale difference sequences and weak convergence of the distribution of random polygonal lines to the...

In this paper we consider the usual test statistics for dimensionality in canonical correlation and MANOVA models for nonnormal populations. In order to know the effects of the null distributions of the test statistics when the populations depart from normality, perturbation expansions for test...

As a generalization of the classical metric scaling solution for a finite set of points, a countable set of uncorrelated random variables is obtained from an arbitary continuous random variable X. The properties of these variables allow us to regard them as principal axes for X with respect to...

We show that a statistical functional is asymptotically normal if it induces a Hadamard differentiable functional defined on the space D[0, 1]p. This work involves p-dimensional empirical processes. As an example we illustrate the use of the von Mises method in proving the asymptotic normality...

The k principal points [xi]1, ..., [xi]k of a random vector X are the points that approximate the distribution of X by minimizing the expected squared distance of X to the nearest of the [xi]j. A given set of k points y1, ..., yk partition p into domains of attraction D1, ..., Dk respectively,...

In finite sampling it is widely believed that the probability sampling distribution is irrelevant for inference from a given sample. A super-population model in stratified sampling is investigated to show that the probability sampling distribution is relevant. It is proved that the traditional...

For statistical analyses of satellite ozone data, Niu and Tiao introduced a class of space-time regression models which took into account temporal and spatial dependence of the observations. In this paper, asymptotic properties of maximum likelihood estimates of parameters in the models are...

Arrays of random vectors with values in Rd stationary in rows, are investigated. By the assumptions related to the ones used in the extreme value theory a limit thoerem for sums is proved. Necessary and sufficient conditions for the convergence in distribution of sums to some generalized Poisson...

Upper and lower bounds are given for the breakdown point of Liu's empirical simplicial median. This median has a strictly positive breakdown point but is a less robust location estimator than the median based on Tukey's data depth (D. Donoho and M. Gasko, Ann. Statist.20 (1992), 1803-1827).