In this paper, ‎we propose new residuals for gamma regression models, ‎assuming that both mean and shape parameters follow regression structures. The  models are summarized and fitted by applying both classic and Bayesian methods as proposed by Cepeda-Cuervo (2001). The residuals are proposed from properties of the biparametric exponential family of distributions. ‎Simulated an...

In the ordinary linear models, regressing the residuals against lagged values has been suggested as an approach to test the hypothesis of zero autocorrelation among residuals. In this paper we extend these results to the both equally and unequally replicated functionally measurement error models. We consider the equally and unequally replicated cases separately, because in the first case the re...

One of the significant challenges to the successful teaching of statistics is that of giving the topic some relevant historical perspective. Such an effort is worthwhile because many students need a context within which they can understand why we are studying a given technique and how that technique came about. In fact, many of our traditional statistical procedures can be associated with speci...

in the ordinary linear models, regressing the residuals against lagged values has been suggested as an approach to test the hypothesis of zero autocorrelation among residuals. in this paper we extend these results to the both equally and unequally replicated functionally measurement error models. we consider the equally and unequally replicated cases separately, because in the first case the re...

Many thinning algorithms for 2D binary images, or modifications of existing ones, have been proposed in recent years. The one given herein is surprisingly simple compared to most of them, and still it has theoretically favorable properties. Actually, it provides a connected single-pixel in width whenever possible well-centered homototic skeleton that allows shapes to be nearly reconstructed. In...

The fit of structural equation models with normally distributed observed and latent variables can be evaluated by examining the normalized and standardized residuals computed in Mplus. These residuals are available for the ML, MLR, and MLF estimators and can be obtained by the residual output command. Suppose that Y is the vector of dependent observed variables and η is the vector of latent var...