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Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

Methodology · Statistics 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification. Such methods often either sacrifice uncertainty quantification by computing…

Methodology · Statistics 2022-07-06 Michael Komodromos , Eric Aboagye , Marina Evangelou , Sarah Filippi , Kolyan Ray

We propose a general algorithmic framework for Bayesian model selection. A spike-and-slab Laplacian prior is introduced to model the underlying structural assumption. Using the notion of effective resistance, we derive an EM-type algorithm…

Methodology · Statistics 2020-06-19 Youngseok Kim , Chao Gao

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

In recent work, robust mixture modelling approaches using skewed distributions have been explored to accommodate asymmetric data. We introduce parsimony by developing skew-t and skew-normal analogues of the popular GPCM family that employ…

Methodology · Statistics 2013-11-12 Irene Vrbik , Paul D. McNicholas

The skew-normal and the skew-$t$ distributions are parametric families which are currently under intense investigation since they provide a more flexible formulation compared to the classical normal and $t$ distributions by introducing a…

Methodology · Statistics 2012-03-13 Adelchi Azzalini , Reinaldo B. Arellano-Valle

While stochastic variational inference is relatively well known for scaling inference in Bayesian probabilistic models, related methods also offer ways to circumnavigate the approximation of analytically intractable expectations. The key…

Machine Learning · Statistics 2015-09-08 David A. Knowles

The main goal of this paper is an application of Bayesian inference in testing the relation between risk and return on the financial instruments. On the basis of the Intertemporal CAPM model we built a general sampling model suitable in…

Applications · Statistics 2008-10-06 Mateusz Pipien

We propose a two stage procedure for the estimation of the parameters of a fairly general, continuous-time stochastic volatility. An important ingredient of the proposed method is the Cuchiero-Teichmann volatility estimator, which is based…

Statistics Theory · Mathematics 2018-12-31 Milan Merkle , Yuri F. Saporito , Rodrigo S. Targino

Skewed generalizations of the normal distribution have been a topic of great interest in the statistics community due to their diverse applications across several domains. One of the most popular skew normal distributions, due to its…

Methodology · Statistics 2023-01-05 Narayan Srinivasan

Mixtures of factor analyzers (MFA) provide a powerful tool for modelling high-dimensional datasets. In recent years, several generalizations of MFA have been developed where the normality assumption of the factors and/or of the errors was…

Methodology · Statistics 2018-10-29 Sharon X. Lee , Tsung-I Lin , Geoffrey J. McLachlan

Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility…

Statistical Finance · Quantitative Finance 2013-04-04 Danilo Delpini , Giacomo Bormetti

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

Methodology · Statistics 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Mixture of factor analyzer (MFA) model is an efficient model for the analysis of high dimensional data through which the factor-analyzer technique based on the covariance matrices reducing the number of free parameters. The model also…

Methodology · Statistics 2022-12-05 Hamid Reza Safaeyan , Karim Zare , Mohamad R. Mahmoudi , Amir Mosavi

Variational Bayes (VB) has been used to facilitate the calculation of the posterior distribution in the context of Bayesian inference of the parameters of nonlinear models from data. Previously an analytical formulation of VB has been…

Signal Processing · Electrical Eng. & Systems 2020-07-06 Michael A. Chappell , Martin S. Craig , Mark W. Woolrich

This paper formed part of a preliminary research report for a risk consultancy and academic research. Stochastic Programming models provide a powerful paradigm for decision making under uncertainty. In these models the uncertainties are…

Computational Finance · Quantitative Finance 2009-04-08 Sovan Mitra

We discuss the issue of estimating large-scale vector autoregressive (VAR) models with stochastic volatility in real-time situations where data are sampled at different frequencies. In the case of a large VAR with stochastic volatility, the…

Econometrics · Economics 2019-12-06 Sebastian Ankargren , Paulina Jonéus

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

Methodology · Statistics 2026-01-21 Taehee Lee , Jun S. Liu

In this paper we focus on the parameter estimation of dynamic load models with stochastic terms, in particular, load models where protection settings are uncertain, such as in aggregated air conditioning units. We show how the uncertainty…

Optimization and Control · Mathematics 2020-04-30 Daniel Adrian Maldonado , Vishwas Rao , Mihai Anitescu , Vivak Patel

Statistical models for multivariate data often include a semi-orthogonal matrix parameter. In many applications, there is reason to expect that the semi-orthogonal matrix parameter satisfies a structural assumption such as sparsity or…

Methodology · Statistics 2026-01-21 Michael Jauch , Marie-Christine Düker , Peter Hoff