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Fast and Flexible Bayesian Inference in Time-varying Parameter Regression Models

Niko Hauzenberger, Florian Huber, Gary Koop, Luca Onorante

arXiv 23 Oct 2019 · Econometrics · publishedJournal of Business and Economic Statistics (2021) · 31 citations (OpenAlex)

arXiv:1910.10779 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we write the time-varying parameter (TVP) regression model involving K explanatory variables and T observations as a constant coefficient regression model with KT explanatory variables. In contrast with much of the existing literature which assumes coefficients to evolve according to a random walk, a hierarchical mixture model on the TVPs is introduced. The resulting model closely mimics a random coefficients specification which groups the TVPs into several regimes. These flexible mixtures allow for TVPs that feature a small, moderate or large number of structural breaks. We develop computationally efficient Bayesian econometric methods based on the singular value decomposition of the KT regressors. In artificial data, we find our methods to be accurate and much faster than standard approaches in terms of computation time. In an empirical exercise involving inflation forecasting using a large number of predictors, we find our models to forecast better than alternative approaches and document different patterns of parameter change than are found with approaches which assume random walk evolution of parameters.

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Malsiner-Walli G, Frühwirth-Schnatter S, and Grün B (2016) Model-based clustering based on sparse finite Gaussian mixtures0.9507486%
2Griffin J, and Brown P (2010) Inference with normal-gamma prior distributions in regression problems0.8434475%
3Kastner G, and Frühwirth-Schnatter S (2014) Ancillarity-sufficiency interweaving strategy (ASIS) for boosting MCMC estimation of stochastic volatility models0.7946350%
4Trippe B, Huggins J, Agrawal R, and Broderick T (2019) LR-GLM: High-dimensional Bayesian inference using low-rank data approximations, in0.64441100%
5Frühwirth-Schnatter S (2001) Markov chain Monte Carlo Estimation of Classical and Dynamic Switching and Mixture Models0.64422100%
6Bitto A, and Frühwirth-Schnatter S (2019) Achieving shrinkage in a time-varying parameter model framework0.64422100%
7Doan T, Litterman R, and Sims C (1984) Forecasting and conditional projection using realistic prior distributions0.64422100%
8Griffin JE, and Brown PJ (2013) Some priors for sparse regression modelling0.64422100%
9Huber F, Koop G, and Onorante L (2021) Inducing sparsity and shrinkage in time-varying parameter models0.64422100%
10Koop G, Korobilis D, and Pettenuzzo D (2019) Bayesian compressed Vector Autoregressions0.64422100%

Showing the top 10 of 63 scored citations.

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20.54cm Time-Varying Parameters as Ridge Regressions0.40511
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5Bayesian Forecasting in Economics and Finance: A Modern Review0.40511
6Nonlinearities in Macroeconomic Tail Risk through the Lens of Big Data Quantile Regressions0.40511
7Bayesian Nonlinear Regression using Sums of Simple Functions0.40511
8The Dynamic Triple Gamma as a Shrinkage Process for Time-Varying Parameter Models0.40511