Even though a number of regression techniques have been proposed over the years to handle a large number of regressors, due to the complex nature of data emerging from recent high-throughput experiments, it is unlikely that any single technique will be successful in modeling all data types....

Consistency of the least squares estimator \gb of the autoregressive parameter vector is established in a pth order autoregression model Yt = [beta]1 Yt-1 + ... + [beta]pYt-p + [var epsilon]t, when all the roots of the characteristic polynomial [Phi]([xi]) = [xi]p - [beta]1[xi]p-1 - ... -...

In this paper we consider bootstrap approximation to the sampling distribution of an estimator of the offspring mean m in a branching process with immigration. A modification of the standard parametric bootstrap procedure is shown to eliminate the invalidity of the standard bootstrap for the...

A right-censored version of a <b>"U"</b>-statistic with a kernel of degree <b>""m""</b> &ges;<b>1</b> is introduced by the principle of a mean preserving reweighting scheme which is also applicable when the dependence between failure times and the censoring variable is explainable through observable covariates. Its...

Methods for analyzing clustered survival data are gaining popularity in biomedical research. Naive attempts to fitting marginal models to such data may lead to biased estimators and misleading inference when the size of a cluster is statistically correlated with some cluster specific latent...

In spite of recent contributions to the literature, informative cluster size settings are not well known and understood. In this paper, we give a formal definition of the problem and describe it from different viewpoints. Data generating mechanisms, parametric and nonparametric models are...

We consider the problem of comparing sojourn time distributions of a transient state in a general multistate system in two samples (groups) when the transition times are right censored. Using the reweighting principle, a two-sample Mann–Whitney type of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$U$$</EquationSource> </InlineEquation>-statistic is constructed that...</equationsource></inlineequation>

Use of zero-inflated count data models is common in applications where the number of zero counts exceeds that predicted from a traditional count data model such as Poisson or negative binomial. When count data exhibiting inflated zero counts are correlated among subjects, a natural approach will...