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Inference for VARs Identified with Sign Restrictions

Author : Hyungsik Roger Moon
Publisher :
Page : 48 pages
File Size : 10,21 MB
Release : 2011
Category : Economics
ISBN :

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There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. We also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application - the former can be twice as wide as the latter.

Inference for VARs Identified with Sign Restrictions

Author :
Publisher :
Page : pages
File Size : 38,42 MB
Release : 2011
Category :
ISBN :

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There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. We also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application--the former can be twice as wide as the latter.

Inference for VARs Identified with Sign Restrictions

Author :
Publisher :
Page : pages
File Size : 38,21 MB
Release : 2011
Category :
ISBN :

GET BOOK

There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. We also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application--the former can be twice as wide as the latter.

Structural Vector Autoregressive Analysis

Author : Lutz Kilian
Publisher : Cambridge University Press
Page : 757 pages
File Size : 28,28 MB
Release : 2017-11-23
Category : Business & Economics
ISBN : 1107196574

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This book discusses the econometric foundations of structural vector autoregressive modeling, as used in empirical macroeconomics, finance, and related fields.

Sign Restrictions, Structural Vector Autoregressions, and Useful Prior Information

Author : Christiane Baumeister
Publisher :
Page : 0 pages
File Size : 10,8 MB
Release : 2014
Category : Autoregression (Statistics)
ISBN :

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This paper makes the following original contributions to the literature. (1) We develop a simpler analytical characterization and numerical algorithm for Bayesian inference in structural vector autoregressions that can be used for models that are overidentified, just-identified, or underidentified. (2) We analyze the asymptotic properties of Bayesian inference and show that in the underidentified case, the asymptotic posterior distribution of contemporaneous coefficients in an n-variable VAR is confined to the set of values that orthogonalize the population variance-covariance matrix of OLS residuals, with the height of the posterior proportional to the height of the prior at any point within that set. For example, in a bivariate VAR for supply and demand identified solely by sign restrictions, if the population correlation between the VAR residuals is positive, then even if one has available an infinite sample of data, any inference about the demand elasticity is coming exclusively from the prior distribution. (3) We provide analytical characterizations of the informative prior distributions for impulse-response functions that are implicit in the traditional sign-restriction approach to VARs, and note, as a special case of result (2), that the influence of these priors does not vanish asymptotically. (4) We illustrate how Bayesian inference with informative priors can be both a strict generalization and an unambiguous improvement over frequentist inference in just-identified models. (5) We propose that researchers need to explicitly acknowledge and defend the role of prior beliefs in influencing structural conclusions and illustrate how this could be done using a simple model of the U.S. labor market.

Robust Inference in Structural Vars with Long-Run Restrictions

Author : Guillaume Chevillon
Publisher :
Page : 39 pages
File Size : 48,69 MB
Release : 2017
Category :
ISBN :

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Long-run restrictions are a very popular method for identifying structural vector autoregressions, but they suffer from weak identification when the data is very persistent, i.e., when the highest autoregressive roots are near unity. Near unit roots introduce additional nuisance parameters and make standard weak-instrument-robust methods of inference inapplicable. We develop a method of inference that is robust to both weak identification and strong persistence. The method is based on a combination of the Anderson-Rubin test with instruments derived by filtering potentially non-stationary variables to make them near stationary. We apply our method to obtain robust confidence bands on impulse responses in two leading applications in the literature.

Applied Time Series Econometrics

Author : Helmut Lütkepohl
Publisher : Cambridge University Press
Page : 351 pages
File Size : 26,19 MB
Release : 2004-08-02
Category : Business & Economics
ISBN : 1139454730

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Time series econometrics is a rapidly evolving field. Particularly, the cointegration revolution has had a substantial impact on applied analysis. Hence, no textbook has managed to cover the full range of methods in current use and explain how to proceed in applied domains. This gap in the literature motivates the present volume. The methods are sketched out, reminding the reader of the ideas underlying them and giving sufficient background for empirical work. The treatment can also be used as a textbook for a course on applied time series econometrics. Topics include: unit root and cointegration analysis, structural vector autoregressions, conditional heteroskedasticity and nonlinear and nonparametric time series models. Crucial to empirical work is the software that is available for analysis. New methodology is typically only gradually incorporated into existing software packages. Therefore a flexible Java interface has been created, allowing readers to replicate the applications and conduct their own analyses.

Putting the New Keynesian Model to a Test

Author : Roland Straub
Publisher : International Monetary Fund
Page : 36 pages
File Size : 40,47 MB
Release : 2006-05
Category : Business & Economics
ISBN :

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In recent years, New Keynesian dynamic stochastic general equilibrium (NK DSGE) models have become increasingly popular in the academic literature and in policy analysis. However, the success of these models in reproducing the dynamic behavior of an economy following structural shocks is still disputed. This paper attempts to shed light on this issue. We use a VAR with sign restrictions that are robust to model and parameter uncertainty to estimate the effects of monetary policy, preference, government spending, investment, price markup, technology, and labor supply shocks on macroeconomic variables in the United States and the euro area. In contrast to the NK DSGE models, the empirical results indicate that technology shocks have a positive effect on hours worked, and investment and preference shocks have a positive impact on consumption and investment, respectively. While the former is in line with the predictions of Real Business Cycle models, the latter indicates the relevance of accelerator effects, as described by earlier Keynesian models. We also show that NK DSGE models might overemphasize the contribution of cost-push shocks to business cycle fluctuations while, at the same time, underestimating the importance of other shocks such as changes to technology and investment adjustment costs.

A Class of Time-Varying Parameter Structural VARs for Inference Under Exact Or Set Identification

Author : Mark Bognanni
Publisher :
Page : 0 pages
File Size : 36,63 MB
Release : 2018
Category :
ISBN :

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This paper develops a new class of structural vector autoregressions (SVARs) with time-varying parameters, which I call a drifting SVAR (DSVAR). The DSVAR is the first structural time-varying parameter model to allow for internally consistent probabilistic inference under exact--or set--identification, nesting the widely used SVAR framework as a special case. I prove that the DSVAR implies a reduced-form representation, from which structural inference can proceed similarly to the widely used two-step approach for SVARs: beginning with estimation of a reduced form and then choosing among observationally equivalent candidate structural parameters via the imposition of identifying restrictions. In a special case, the implied reduced form is a tractable known model for which I provide the first algorithm for Bayesian estimation of all free parameters. I demonstrate the framework in the context of Baumeister and Peersman's (2013b) work on time variation in the elasticity of oil demand.

Handbook of Macroeconomics

Author : John B. Taylor
Publisher : Elsevier
Page : 2744 pages
File Size : 19,11 MB
Release : 2016-11-12
Category : Business & Economics
ISBN : 0444594884

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Handbook of Macroeconomics Volumes 2A and 2B surveys major advances in macroeconomic scholarship since the publication of Volume 1 (1999), carefully distinguishing between empirical, theoretical, methodological, and policy issues, including fiscal, monetary, and regulatory policies to deal with crises, unemployment, and economic growth. As this volume shows, macroeconomics has undergone a profound change since the publication of the last volume, due in no small part to the questions thrust into the spotlight by the worldwide financial crisis of 2008. With contributions from the world’s leading macroeconomists, its reevaluation of macroeconomic scholarship and assessment of its future constitute an investment worth making. Serves a double role as a textbook for macroeconomics courses and as a gateway for students to the latest research Acts as a one-of-a-kind resource as no major collections of macroeconomic essays have been published in the last decade Builds upon Volume 1 by using its section headings to illustrate just how far macroeconomic thought has evolved