It is well known that one or more outlying points in the data may adversely affect the consistency of the quasi-likelihood or the likelihood estimators for the regression effects. Similar to the quasi-likelihood approach, the existing outliers-resistant Mallow's type quasi-likelihood (MQL)...

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 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...

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...