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The Cointegrated VAR Model

The Cointegrated VAR Model
Author: Katarina Juselius
Publisher: OUP Oxford
Total Pages: 478
Release: 2006-12-07
Genre: Business & Economics
ISBN: 0191622966

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This valuable text provides a comprehensive introduction to VAR modelling and how it can be applied. In particular, the author focuses on the properties of the Cointegrated VAR model and its implications for macroeconomic inference when data are non-stationary. The text provides a number of insights into the links between statistical econometric modelling and economic theory and gives a thorough treatment of identification of the long-run and short-run structure as well as of the common stochastic trends and the impulse response functions, providing in each case illustrations of applicability. This book presents the main ingredients of the Copenhagen School of Time-Series Econometrics in a transparent and coherent framework. The distinguishing feature of this school is that econometric theory and applications have been developed in close cooperation. The guiding principle is that good econometric work should take econometrics, institutions, and economics seriously. The author uses a single data set throughout most of the book to guide the reader through the econometric theory while also revealing the full implications for the underlying economic model. To test ensure full understanding the book concludes with the introduction of two new data sets to combine readers understanding of econometric theory and economic models, with economic reality.


Econometric With Matlab

Econometric With Matlab
Author: A. Smith
Publisher:
Total Pages: 194
Release: 2017-11-10
Genre:
ISBN: 9781979619684

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Econometrics Toolbox provides functions for modeling economic data. You can select and estimate economic models for simulation and forecasting. For time series modeling and analysis, the toolbox includes univariate Bayesian linear regression, univariate ARIMAX/GARCH composite models with several GARCH variants, multivariate VARX models, and cointegration analysis. It also provides methods for modeling economic systems using state-space models and for estimating using the Kalman filter. You can use a variety of diagnostics for model selection, including hypothesis tests, unit root,stationarity, and structural change.This book develops VAR, VARX, VARMA, VARMAX and VEC time series models.The most important content is the following:* Vector Autoregression (VAR) Models* Types of Multivariate Time Series Models* Lag Operator Representation* Stable and Invertible Models* Building VAR Models* Multivariate Time Series Data Structures* Multivariate Time Series Data* Data Preprocessing* Partitioning Response Data* Multivariate Time Series Model Creation* Models for Multiple Time Series* Creating VAR Models* Create and Adjust VAR Model Using Shorthand Syntax* Create and Adjust VAR Model Using Longhand Syntax* Model Objects with Known Parameters* Model Objects with No Parameter Values* Model Objects with Selected Parameter Values* VAR Model Estimation* Preparing VAR Models for Fitting* Fitting Models to Data* Examining the Stability of a Fitted Model* Convert VARMA Model to VAR Model* Fit VAR Model of CPI and Unemployment Rate* Fit VAR Model to Simulated Data* VAR Model Forecasting, Simulation, and Analysis* VAR Model Forecasting* Data Scaling* Calculating Impulse Responses* Generate Impulse Responses for a VAR model* Compare Generalized and Orthogonalized Impulse Response Functions* Forecast VAR Model* Forecast VAR Model Using Monte Carlo Simulation* Forecast VAR Model Conditional Responses* Multivariate Time Series Models with Regression Terms* Design Matrix Structure for Including Exogenous Data* Estimation of Models that Include Exogenous Data* Implement Seemingly Unrelated Regression Analyses* Implement Seemingly Unrelated Regression* Estimate Capital Asset Pricing Model Using SUR* Simulate Responses of Estimated VARX Model* Simulate VAR Model Conditional Responses* Simulate Responses Using filter* VAR Model Case Study* Cointegration and Error Correction Analysis* Determine Cointegration Rank of VEC Model* Identifying Single Cointegrating Relations* The Engle-Granger Test for Cointegration* Limitations of the Engle-Granger Test* Test for Cointegration Using the Engle-Granger Test* Estimate VEC Model Parameters Using egcitest* Simulate and Forecast a VEC Model* Generate VEC Model Impulse Responses* Identifying Multiple Cointegrating Relations* Test for Cointegration Using the Johansen Test* Estimate VEC Model Parameters Using jcitest* Compare Approaches to Cointegration Analysis* Testing Cointegrating Vectors and Adjustment Speeds* Test Cointegrating Vectors* Test Adjustment Speeds


Econometric Modeling with Matlab. Multivariate Time Series Models

Econometric Modeling with Matlab. Multivariate Time Series Models
Author: B. Noriega
Publisher: Independently Published
Total Pages: 278
Release: 2019-03-06
Genre: Mathematics
ISBN: 9781798968253

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Econometrics Toolbox provides functions for modeling economic data. You can select and estimate economic models for simulation and forecasting. For time series modeling and analysis, the toolbox includes univariate Bayesian linear regression, univariate ARIMAX/GARCH composite models with several GARCH variants, multivariate VARX models, and cointegration analysis. It also provides methods for modeling economic systems using state-space models and for estimating using the Kalman filte. You can use a variety of diagnostics for model selection, including hypothesis tests, unit root, stationarity, and structural change.The more important topics in this book are the next: -"Vector Autoregression (VAR) Models" -"Multivariate Time Series Data Structures" -"Multivariate Time Series Model Creation" -"VAR Model Estimation" -"Convert VARMA Model to VAR Model" -"Fit VAR Model of CPI and Unemployment Rate" -"Fit VAR Model to Simulated Data" -"VAR Model Forecasting, Simulation, and Analysis" -"Generate VAR Model Impulse Responses" -"Compare Generalized and Orthogonalized Impulse Response Functions"-"Forecast VAR Model"-"Forecast VAR Model Using Monte Carlo Simulation" -"Forecast VAR Model Conditional Responses"-"Multivariate Time Series Models with Regression Terms" -"Implement Seemingly Unrelated Regression" -"Estimate Capital Asset Pricing Model Using SUR" -"Simulate Responses of Estimated VARX Model"-"Simulate VAR Model Conditional Responses" -"Simulate Responses Using filter -"VAR Model Case Study" -"Cointegration and Error Correction Analysis" -"Determine Cointegration Rank of VEC Model" -"Identifying Single Cointegrating Relations"-"Test for Cointegration Using the Engle-Granger Test" -"Estimate VEC Model Parameters Using egcitest"-"VEC Model Monte Carlo Forecasts" -"Generate VEC Model Impulse Responses" -"Identifying Multiple Cointegrating Relations" -"Test for Cointegration Using the Johansen Test" -"Estimate VEC Model Parameters Using jcitest" -"Compare Approaches to Cointegration Analysis" -"Testing Cointegrating Vectors and Adjustment Speeds" -"Test Cointegrating Vectors" -"Test Adjustment Speeds"


Unit Roots, Cointegration, and Structural Change

Unit Roots, Cointegration, and Structural Change
Author: G. S. Maddala
Publisher: Cambridge University Press
Total Pages: 528
Release: 1998
Genre: Business & Economics
ISBN: 9780521587822

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A comprehensive review of unit roots, cointegration and structural change from a best-selling author.


Model Reduction Methods for Vector Autoregressive Processes

Model Reduction Methods for Vector Autoregressive Processes
Author: Ralf Brüggemann
Publisher: Springer Science & Business Media
Total Pages: 226
Release: 2012-09-25
Genre: Mathematics
ISBN: 3642170293

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1. 1 Objective of the Study Vector autoregressive (VAR) models have become one of the dominant research tools in the analysis of macroeconomic time series during the last two decades. The great success of this modeling class started with Sims' (1980) critique of the traditional simultaneous equation models (SEM). Sims criticized the use of 'too many incredible restrictions' based on 'supposed a priori knowledge' in large scale macroeconometric models which were popular at that time. Therefore, he advo cated largely unrestricted reduced form multivariate time series models, unrestricted VAR models in particular. Ever since his influential paper these models have been employed extensively to characterize the underlying dynamics in systems of time series. In particular, tools to summarize the dynamic interaction between the system variables, such as impulse response analysis or forecast error variance decompo sitions, have been developed over the years. The econometrics of VAR models and related quantities is now well established and has found its way into various textbooks including inter alia Llitkepohl (1991), Hamilton (1994), Enders (1995), Hendry (1995) and Greene (2002). The unrestricted VAR model provides a general and very flexible framework that proved to be useful to summarize the data characteristics of economic time series. Unfortunately, the flexibility of these models causes severe problems: In an unrestricted VAR model, each variable is expressed as a linear function of lagged values of itself and all other variables in the system.


Analysis of Integrated and Cointegrated Time Series with R

Analysis of Integrated and Cointegrated Time Series with R
Author: Bernhard Pfaff
Publisher: Springer Science & Business Media
Total Pages: 193
Release: 2008-09-03
Genre: Business & Economics
ISBN: 0387759670

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This book is designed for self study. The reader can apply the theoretical concepts directly within R by following the examples.


Likelihood-based Inference in Cointegrated Vector Autoregressive Models

Likelihood-based Inference in Cointegrated Vector Autoregressive Models
Author: Søren Johansen
Publisher: Oxford University Press, USA
Total Pages: 280
Release: 1995
Genre: Business & Economics
ISBN: 0198774508

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This monograph is concerned with the statistical analysis of multivariate systems of non-stationary time series of type I. It applies the concepts of cointegration and common trends in the framework of the Gaussian vector autoregressive model.


Bayesian Analysis in Statistics and Econometrics

Bayesian Analysis in Statistics and Econometrics
Author: Donald A. Berry
Publisher: John Wiley & Sons
Total Pages: 610
Release: 1996
Genre: Business & Economics
ISBN: 9780471118565

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This book is a definitive work that captures the current state of knowledge of Bayesian Analysis in Statistics and Econometrics and attempts to move it forward. It covers such topics as foundations, forecasting inferential matters, regression, computation and applications.