Local influence when fitting Gaussian spatial linear models: an agriculture application

Parameter Estimation in Spatial Generalized Linear Mixed Models with Skew Gaussian Random Effects using Laplace Approximation

 Spatial generalized linear mixed models are used commonly for modelling non-Gaussian discrete spatial responses. We present an algorithm for parameter estimation of the models using Laplace approximation of likelihood function. In these models, the spatial correlation structure of data is carried out by random effects or latent variables. In most spatial analysis, it is assumed that rando...

Spatial Latent Gaussian Models: Application to House Prices Data in Tehran City

Latent Gaussian models are flexible models that are applied in several statistical applications. When posterior marginals or full conditional distributions in hierarchical Bayesian inference from these models are not available in closed form, Markov chain Monte Carlo methods are implemented. The component dependence of the latent field usually causes increase in computational time and divergenc...

Fitting Generalized Linear Mixed Models For Point-Referenced Spatial Data

Fitting a Conditional Linear Gaussian Distribution

where c = (2π) is a constant and |y| = d. The j’th row of Bi is the regression vector for the j’th component of y given that Q = i. We consider tying and various constraints on the covariance matrix in order to reduce the number of free parameters. We will allow any of the variables to be hidden — we will replace observed values with expected values conditioned on evidence, as in EM. We express...

Local influence analysis for penalized Gaussian likelihood estimation in partially linear single-index models

Single-index model is a potentially tool for multivariate nonparametric regression, generalizes both the generalized linear models(GLM) and the missing-link function problem in GLM. In this paper, we extend Cook’s local influence analysis to the penalized Gaussian likelihood estimator based on P-spline for the partially linear single-index model. Some influence measures, based on the minor pert...