On the reduction of Gaussian inverse Wishart mixtures
This paper presents an algorithm for reduction of Gaussian inverse Wishart mixtures. Sums of an arbitrary number of mixture components are approximated with single components by analytically minimizing the Kullback-Leibler divergence.
Orguner, Umut, Granström, Karl
core +1 more source
On the Foundational Arguments of Sufficient Dimension Reduction
Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
wiley +1 more source
Nonparametric estimation of covariance functions by model selection [PDF]
We propose a model selection approach for covariance estimation of a stochastic process. Under very general assumptions, observing i.i.d replications of the process at fixed observation points, we construct an estimator of the covariance function by ...
Muniz Alvarez, Lilian +9 more
core +1 more source
A Mixed Frequency BVAR for the Australian Economy*
A mixed frequency vector autoregression (MFVAR) model is proposed for nowcasting, forecasting and backcasting Australian macroeconomic indicators at monthly and quarterly frequencies. A novel augmented Minnesota prior for MFVAR models is also introduced.
Kelly Trinh, Jamie L. Cross
wiley +1 more source
Bayesian Inference for Joint Estimation Models Using Copulas to Handle Endogenous Regressors
ABSTRACT This study proposes a Bayesian approach for finite‐sample inference of the Gaussian copula endogeneity correction. Extant studies use frequentist inference, build on a priori computed estimates of marginal distributions of explanatory variables, and use bootstrapping to obtain standard errors. The proposed Bayesian approach facilitates precise
Rouven E. Haschka
wiley +1 more source
A Novel Robust Student’s t-Based Cubature Information Filter with Heavy-Tailed Noises
In this paper, a novel robust Student’s t-based cubature information filter is proposed for a nonlinear multisensor system with heavy-tailed process and measurement noises.
Yongtao Shui +5 more
doaj +1 more source
Bayesian Poisson‐Lognormal Regression With Compositional Effect Shares for Multivariate Count Data
ABSTRACT Multivariate count data are central in community ecology and related fields, where interest lies in how environmental gradients and management actions jointly shape the abundances of many taxa. The Poisson‐lognormal (PLN) model is a natural workhorse in this setting, accommodating overdispersion and cross‐taxon dependence via a latent Gaussian
Abdolnasser Sadeghkhani
wiley +1 more source
A Variational Bayesian Adaptive Kalman Filter for the Random Losses Problem of Sensor Packet
In this paper, a variational Bayesian adaptive Kalman filter (VBAKF) was used to solve the impact of unknown non-Gaussian measurement noise (NGMN) and sensor measurement loss in Wireless Sensor Networks (WSN) communication. First, the inverse Wishart (IW)
Changzhong Chen +4 more
doaj +1 more source
Multi‐Level Variable Selection Using a BART‐Enhanced Mixed‐Effects Framework
ABSTRACT Selecting important individual‐ and cluster‐level predictors has become increasingly critical in healthcare research, where data often exhibit hierarchical structures due to collection from multiple clusters. Mixed‐effects models, which account for within‐cluster correlation and between‐cluster heterogeneity, are a natural approach for ...
Keming Zhang +5 more
wiley +1 more source
Superstatistical generalisations of Wishart-Laguerre ensembles of random matrices
Using Beck and Cohen's superstatistics, we introduce in a systematic way a family of generalized Wishart–Laguerre ensembles of random matrices with Dyson index β = 1, 2 and 4. The entries of the data matrix are Gaussian random variables whose variances η
Akemann, G +5 more
core +1 more source

