An ANOVA type general multi-allele (GMA) model was proposed in Wang (2014) on analysis of variance components for quantitative trait loci or genetic markers with phased or unphased genotypes. In this study, by applying the GMA model, we further examine estimation of the genetic variance components for genetic markers with unphased genotypes based on a random sample from a study population. In o...

We propose Dirichlet Process mixtures of Generalized Linear Models (DP-GLM), a new class of methods for nonparametric regression. Given a data set of input-response pairs, the DP-GLM produces a global model of the joint distribution through a mixture of local generalized linear models. DP-GLMs allow both continuous and categorical inputs, and can model the same class of responses that can be mo...

We present a flexible non-parametric generative model for multigroup regression that detects latent common clusters of groups. The model is founded on techniques that are now considered standard in the statistical parameter estimation literature, namely, Dirichlet process(DP) and Generalized Linear Model (GLM), and therefore, we name it “Infinite MultiGroup Generalized Linear Models” (iMGGLM). ...

We tackle the problem of real-time statistical analysis of functional magnetic resonance imaging (fMRI) data. In a recent paper, we proposed an incremental algorithm based on the extended Kalman filter (EKF) to fit fMRI time series in terms of a general linear model with autoregressive errors (GLM-AR model). We here improve the technique using a new Kalman filter variant specifically tailored t...

aim : this study compared pr and nb in predicting hcv patient costs. the objective of this study was to predict the direct cost of the hcv patient in iran. background : hepatitis c virus (hcv) is a common and expensive infectious disease in iran. cost associated with hcv and its complications has not been well characterized. analysis of cost data is important in providing consistent information...

We consider structured multi-armed bandit problems based on the Generalized Linear Model (GLM) framework of statistics. For these bandits, we propose a new algorithm, called GLM-UCB. We derive finite time, high probability bounds on the regret of the algorithm, extending previous analyses developed for the linear bandits to the non-linear case. The analysis highlights a key difficulty in genera...

Arterial spin labeling techniques can yield quantitative measures of perfusion by fitting a kinetic model to difference images (tagged-control). Because of the noisy nature of the difference images investigators typically average a large number of tagged versus control difference measurements over long periods of time. This averaging requires that the perfusion signal be at a steady state and n...

Canonical Correlation Analysis (CCA) can be conceptualized as a multivariate regression involving multiple outcome variables. CCA compares two sets of variables and is the second-most general application of the General Linear Model (GLM) following Structural Equation Modeling. Structural Equation Modeling software have made conducting CCA feasible for researchers in numerous and disparate disci...

Functional near-infrared spectroscopy (fNIRS) uses near-infrared light to measure changes in the concentration of oxygenated (HbO) and deoxygenated hemoglobin (HbR). Physiological processes, such as heart beat, respiration, vasomotor waves, induce concentration changes of HbO and HbR well detectable in the fNIRS signal. Some of these physiological components, as well as random disturbances, can...

The Fock space of m+p bosonic and n+q fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra glm+p|n+q. Its tensor powers decompose into direct sums of infinite dimensional irreducible highest weight glm+p|n+q-modules. We obtain an explicit decomposition of any tensor power of this Fock space into irreducibles, and develop a character formula for the irredu...