On top of the generalized estimating equation (GEE) approach, there exist two extended generalized estimating equation (EGEE) approaches where two sets of estimating equations are simultaneously solved for the estimation of the regression and the so-called 'working' correlation parameters. The...

In an adaptive clinical trial research, it is common to use certain data-dependent design weights to assign individuals to treatments so that more study subjects are assigned to the better treatment. These design weights must also be used for consistent estimation of the treatment effects as...

Forecasting for a time series of low counts, such as forecasting the number of patents to be awarded to an industry, is an important research topic in socio-economic sectors. Recently (2004), Freeland and McCabe introduced a Gaussian type stationary correlation model-based forecasting which...

In view of the cumbersome and often intractable numerical integrations required for a full likelihood analysis, several suggestions have been made recently for approximate inference in generalized linear mixed models (GLMMs). Two closely related approximate methods are the penalized...

We consider the elliptical distribution of n p-dimensional random vectors X1, ..., Xn having p.d.f. of the form k(n, p) [Lambda]-n/2 g([Sigma]j=1n(Xj-[theta])' [Lambda]-1(Xj-[theta])) as a generalization of the multivariate normal distribution. Let A denote the Wishart matrix defined by , where...

The familial-longitudinal data are collected from a large number of groups or families over a small period of time. This type of data exhibit two-way correlations. First, the responses of the members of a family are likely to be correlated. Second, when the familial responses are repeatedly...

This article proposes an autoregressive model for time series of counts with non-stationary means, variances and covariances as functions of certain time-dependant covariates. For the estimation of the regression, overdispersion and correlation index parameters, a conditional generalized...

In this paper, conditional on random family effects, we consider an auto-regression model for repeated count data and their corresponding time-dependent covariates, collected from the members of a large number of independent families. The count responses, in such a set up, unconditionally...

Liang and Zeger introduced a class of estimating equations that gives consistent estimates of regression parameters and of their variances in the class of generalized linear models for longitudinal data. When the response variable in such models is subject to overdispersion, the oerdispersion...