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We develop moment estimators for the parameters of affine stochastic volatility models. We first address the challenge of calculating moments for the models by introducing a recursive equation for deriving closed-form expressions for…

Statistical Finance · Quantitative Finance 2024-08-20 Yan-Feng Wu , Xiangyu Yang , Jian-Qiang Hu

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

Methodology · Statistics 2023-04-18 Zijian Guo

Despite having achieved great success for sentiment analysis, existing neural models struggle with implicit sentiment analysis. This may be due to the fact that they may latch onto spurious correlations ("shortcuts", e.g., focusing only on…

Computation and Language · Computer Science 2022-08-22 Siyin Wang , Jie Zhou , Changzhi Sun , Junjie Ye , Tao Gui , Qi Zhang , Xuanjing Huang

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

Instrumental variable based estimation of a causal effect has emerged as a standard approach to mitigate confounding bias in the social sciences and epidemiology, where conducting randomized experiments can be too costly or impossible.…

Methodology · Statistics 2026-01-21 Danielle Tsao , Krikamol Muandet , Frederick Eberhardt , Emilija Perković

We provide a new flexible framework for inference with the instrumental variable model. Rather than using linear specifications, functions characterizing the effects of instruments and other explanatory variables are estimated using machine…

Machine Learning · Statistics 2021-02-03 Robert E. McCulloch , Rodney A. Sparapani , Brent R. Logan , Purushottam W. Laud

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

The instrumental variables (IV) method is a method for making causal inferences about the effect of a treatment based on an observational study in which there are unmeasured confounding variables. The method requires a valid IV, a variable…

Methodology · Statistics 2014-08-19 Dylan Small , Zhiqiang Tan , Scott Lorch , Alan Brookhart

Accurate state estimation requires careful consideration of uncertainty surrounding the process and measurement models; these characteristics are usually not well-known and need an experienced designer to select the covariance matrices. An…

Machine Learning · Statistics 2025-07-18 Pardha Sai Krishna Ala , Ameya Salvi , Venkat Krovi , Matthias Schmid

Instrumental variables (IVs) provide a powerful strategy for identifying causal effects in the presence of unobservable confounders. Within the nonparametric setting (NPIV), recent methods have been based on nonlinear generalizations of…

Machine Learning · Statistics 2024-12-24 Yuri Fonseca , Caio Peixoto , Yuri Saporito

In this paper, we propose a novel method for causal inference within the framework of counterfactual and synthetic control. Matching forward the generalized synthetic control method, our instrumented principal component analysis method…

Econometrics · Economics 2024-09-17 Cong Wang

We develop a method to perform model averaging in two-stage linear regression systems subject to endogeneity. Our method extends an existing Gibbs sampler for instrumental variables to incorporate a component of model uncertainty. Direct…

Methodology · Statistics 2012-03-20 Anna Karl , Alex Lenkoski

Instrumental variables are a popular tool to infer causal effects under unobserved confounding, but choosing suitable instruments is challenging in practice. We propose gIVBMA, a Bayesian model averaging procedure that addresses this…

Methodology · Statistics 2026-03-02 Gregor Steiner , Mark Steel

Instrumental variable (IV) regression relies on instruments to infer causal effects from observational data with unobserved confounding. We consider IV regression in time series models, such as vector auto-regressive (VAR) processes. Direct…

Methodology · Statistics 2024-07-23 Nikolaj Thams , Rikke Søndergaard , Sebastian Weichwald , Jonas Peters

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

Instrumental variable regression is a foundational tool for causal analysis across the social and biomedical sciences. Recent advances use kernel methods to estimate nonparametric causal relationships, with general data types, while…

Statistics Theory · Mathematics 2026-01-21 Marvin Lob , Rahul Singh , Suhas Vijaykumar

Many applications in mechanical, acoustic, and electronic engineering require estimating complex dynamical models, often represented as additive multi-input multi-output (MIMO) transfer functions with structural constraints. This paper…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Rodrigo A. González , Maarten van der Hulst , Koen Classens , Tom Oomen

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

Methodology · Statistics 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

The instrumental variable method consistently estimates the effect of a treatment when there is unmeasured confounding and a valid instrumental variable. A valid instrumental variable is a variable that is independent of unmeasured…

Methodology · Statistics 2016-02-03 Zijian Guo , Dylan Small