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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"


Econometrics With Matlab

Econometrics With Matlab
Author: A. Smith
Publisher:
Total Pages: 250
Release: 2017-11-09
Genre:
ISBN: 9781979581332

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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.A probabilistic time series model is necessary for a wide variety of analysis goals ,including regression inference, forecasting, and Monte Carlo simulation. When selecting a model, aim to find the most parsimonious model that adequately describes your data. Asimple model is easier to estimate, forecast, and interpret*Specification tests help you identify one or more model families that could plausiblydescribe the data generating process.*Model comparisons help you compare the fit of competing models, with penalties for complexity.*Goodness-of-fit checks help you assess the in-sample adequacy of your model, verify that all model assumptions hold, and evaluate out-of-sample forecast performance.Model selection is an iterative process. When goodness-of-fit checks suggest model assumptions are not satisfied-or the predictive performance of the model is not satisfactory-consider making model adjustments. Additional specification tests, model comparisons, and goodness-of-fit checks help guide this process..The most important content is the following:* Econometrics Toolbox Product Description* Econometric Modeling* Econometrics Toolbox Model Objects, Properties, and Methods* Stochastic Process Characteristics* Data Transformations* Data Preprocessing* Trend-Stationary vs. Difference-Stationary Processes* Nonstationary Processes* Trend Stationary* Difference Stationary* Specify Lag Operator Polynomials* Lag Operator Polynomial of Coefficients* Difference Lag Operator Polynomials* Nonseasonal Differencing* Nonseasonal and Seasonal Differencing* Time Series Decomposition* Moving Average Filter* Moving Average Trend Estimation* Parametric Trend Estimation* Hodrick-Prescott Filter* Using the Hodrick-Prescott Filter to Reproduce Their* Original Result* Seasonal Filters* Seasonal Adjusment* Seasonal Adjustment Using a Stable Seasonal Filter* Seasonal Adjustment Using S(n,m) Seasonal Filters* Box-Jenkins Methodology* Box-Jenkins Model Selection* Autocorrelation and Partial Autocorrelation* Theoretical ACF and PACF* Sample ACF and PACF* Ljung-Box Q-Test* Detect Autocorrelation* Engle's ARCH Test* Detect ARCH Effects* Unit Root Nonstationarity* Unit Root Tests* Assess Stationarity of a Time Series* Information Criteria* Model Comparison Tests* Likelihood Ratio Test* Lagrange Multiplier Test* Wald Test* Covariance Matrix Estimation* Conduct a Lagrange Multiplier Test* Conduct a Wald Test* Compare GARCH Models Using Likelihood Ratio Test* Check Fit of Multiplicative ARIMA Model* Goodness of Fit* Residual Diagnostics* Check Residuals for Normality* Check Residuals for Autocorrelation* Check Residuals for Conditional Heteroscedasticity* Check Predictive Performance* Nonspherical Models* Plot a Confidence Band Using HAC Estimates* Change the Bandwidth of a HAC Estimator* Check Model Assumptions for Chow Test* Power of the Chow Test


Linear Time Series with MATLAB and OCTAVE

Linear Time Series with MATLAB and OCTAVE
Author: Víctor Gómez
Publisher: Springer Nature
Total Pages: 355
Release: 2019-10-04
Genre: Computers
ISBN: 3030207900

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This book presents an introduction to linear univariate and multivariate time series analysis, providing brief theoretical insights into each topic, and from the beginning illustrating the theory with software examples. As such, it quickly introduces readers to the peculiarities of each subject from both theoretical and the practical points of view. It also includes numerous examples and real-world applications that demonstrate how to handle different types of time series data. The associated software package, SSMMATLAB, is written in MATLAB and also runs on the free OCTAVE platform. The book focuses on linear time series models using a state space approach, with the Kalman filter and smoother as the main tools for model estimation, prediction and signal extraction. A chapter on state space models describes these tools and provides examples of their use with general state space models. Other topics discussed in the book include ARIMA; and transfer function and structural models; as well as signal extraction using the canonical decomposition in the univariate case, and VAR, VARMA, cointegrated VARMA, VARX, VARMAX, and multivariate structural models in the multivariate case. It also addresses spectral analysis, the use of fixed filters in a model-based approach, and automatic model identification procedures for ARIMA and transfer function models in the presence of outliers, interventions, complex seasonal patterns and other effects like Easter, trading day, etc. This book is intended for both students and researchers in various fields dealing with time series. The software provides numerous automatic procedures to handle common practical situations, but at the same time, readers with programming skills can write their own programs to deal with specific problems. Although the theoretical introduction to each topic is kept to a minimum, readers can consult the companion book ‘Multivariate Time Series With Linear State Space Structure’, by the same author, if they require more details.


Univariate Time Series Analysis with MATLAB

Univariate Time Series Analysis with MATLAB
Author: Perez M.
Publisher: Createspace Independent Publishing Platform
Total Pages: 222
Release: 2016-06-26
Genre:
ISBN: 9781534867062

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Econometrics Toolbox(tm) provides functions for modeling economic data. You can select and calibrate economic models for simulation and forecasting. For time series modeling and analysis, the toolbox includes univariate ARMAX/GARCH composite models with several GARCH variants, multivariate VARMAX 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 diagnostic functions for model selection, including hypothesis, unit root, and stationarity tests. This book focuses on Univariate Time Series Analysis.


Time Series Analysis with Matlab. Arima and Arimax Models

Time Series Analysis with Matlab. Arima and Arimax Models
Author: Perez M.
Publisher: Createspace Independent Publishing Platform
Total Pages: 192
Release: 2016-06-23
Genre:
ISBN: 9781534860919

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Econometrics Toolbox(TM) provides functions for modeling economic data. You can select and calibrate economic models for simulation and forecasting. For time series modeling and analysis, the toolbox includes univariate ARMAX/GARCH composite models with several GARCH variants, multivariate VARMAX 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 diagnostic functions for model selection, including hypothesis, unit root, and stationarity tests.. This book especially developed ARIMA and ARIMAX models acfross BOX-JENKINS methodology


Econometric Modeling with Matlab. State-Space Models

Econometric Modeling with Matlab. State-Space Models
Author: B. Noriega
Publisher: Independently Published
Total Pages: 196
Release: 2019-03-08
Genre: Mathematics
ISBN: 9781799064183

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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: -"State-Space Models?" -"Kalman Filter?" -"Explicitly Create State-Space Model Containing Known Parameter Values"-"Create State-Space Model with Unknown Parameters" -"Create State-Space Model Containing ARMA State" -"Implicitly Create State-Space Model Containing Regression Component"-"Implicitly Create Diffus State-Space Model Containing Regression Component"-"Implicitly Create Time-Varying State-Space Model" -"Implicitly Create Time-Varying Diffus State-Space Model" -"Create State-Space Model with Random State Coefficient -"Estimate Time-Invariant State-Space Model" -"Estimate Time-Varying State-Space Model" -"Estimate Time-Varying Diffus State-Space Model" -"Estimate State-Space Model Containing Regression Component"-"Filter States of State-Space Model" -"Filter Time-Varying State-Space Model" -"Filter Time-Varying Diffus State-Space Model" -"Filter States of State-Space Model Containing Regression Component"-"Smooth States of State-Space Model" -"Smooth Time-Varying State-Space Model" -"Smooth Time-Varying Diffus State-Space Model" -"Smooth States of State-Space Model Containing Regression Component"-"Simulate States and Observations of Time-Invariant State-Space Model"-"Simulate Time-Varying State-Space Model" -"Simulate States of Time-Varying State-Space Model Using Simulation Smoother"-"Estimate Random Parameter of State-Space Model" -"Forecast State-Space Model Using Monte-Carlo Methods" -"Forecast State-Space Model Observations" -"Forecast Observations of State-Space Model Containing Regression Component"-"Forecast Time-Varying State-Space Model" -"Forecast State-Space Model Containing Regime Change in the Forecast Horizon"-"Forecast Time-Varying Diffus State-Space Model" -"Compare Simulation Smoother to Smoothed States" -"Rolling-Window Analysis of Time-Series Models" -"Assess State-Space Model Stability Using Rolling Window Analysis" -"Choose State-Space Model Specificatio Using Backtesting"


MULTIVARIATE TIME SERIES ANALYSIS with MATLAB. VAR and VARMAX MODELS

MULTIVARIATE TIME SERIES ANALYSIS with MATLAB. VAR and VARMAX MODELS
Author: Perez M.
Publisher: Createspace Independent Publishing Platform
Total Pages: 176
Release: 2016-06-24
Genre:
ISBN: 9781534868076

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This book focuses on Multivariate Time Series Models. The most important issues are the following: Vector Autoregressive Models Introduction to Vector Autoregressive (VAR) Models Data Structures Model Specification Structures VAR Model Estimation VAR Model Forecasting, Simulation, and Analysis VAR Model Case Study Cointegration and Error Correction Introduction to Cointegration Analysis Identifying Single Cointegrating Relations Identifying Multiple Cointegrating Relations Testing Cointegrating Vectors and Adjustment Speeds


Multivariate Time Series Analysis

Multivariate Time Series Analysis
Author: Ruey S. Tsay
Publisher: John Wiley & Sons
Total Pages: 414
Release: 2013-11-11
Genre: Mathematics
ISBN: 1118617754

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An accessible guide to the multivariate time series tools used in numerous real-world applications Multivariate Time Series Analysis: With R and Financial Applications is the much anticipated sequel coming from one of the most influential and prominent experts on the topic of time series. Through a fundamental balance of theory and methodology, the book supplies readers with a comprehensible approach to financial econometric models and their applications to real-world empirical research. Differing from the traditional approach to multivariate time series, the book focuses on reader comprehension by emphasizing structural specification, which results in simplified parsimonious VAR MA modeling. Multivariate Time Series Analysis: With R and Financial Applications utilizes the freely available R software package to explore complex data and illustrate related computation and analyses. Featuring the techniques and methodology of multivariate linear time series, stationary VAR models, VAR MA time series and models, unitroot process, factor models, and factor-augmented VAR models, the book includes: • Over 300 examples and exercises to reinforce the presented content • User-friendly R subroutines and research presented throughout to demonstrate modern applications • Numerous datasets and subroutines to provide readers with a deeper understanding of the material Multivariate Time Series Analysis is an ideal textbook for graduate-level courses on time series and quantitative finance and upper-undergraduate level statistics courses in time series. The book is also an indispensable reference for researchers and practitioners in business, finance, and econometrics.


Univariate Time Series Analysis With Matlab

Univariate Time Series Analysis With Matlab
Author: Mara Prez
Publisher: CreateSpace
Total Pages: 222
Release: 2014-09-12
Genre: Mathematics
ISBN: 9781502345028

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MATLAB Econometrics Toolbox provides functions for modeling economic data You can select and calibrate economic models for simulation and forecasting Time series capabilities include univariate ARMAX/GARCH composite models with several GARCH variants, multivariate VARMAX models, and cointegration analysis The toolbox provides Monte Carlo methods for simulating systems of linear and nonlinear stochastic differential equations and a variety of diagnostics for model selection, including hypothesis, unit root, and stationarity tests.This book develops, among others, the following topics:Econometric Modeling Model Objects, Properties, and Methods Stochastic Process Characteristics Stationary Processes Linear Time Series Model Lag Operator Notation Unit Root ProcessNonstationary Processes Trend Stationary Difference Stationary Nonseasonal and Seasonal Differencing Time Series Decomposition Moving Average Filter Moving Average Trend Estimation Parametric Trend Estimation Hodrick-Prescott Filter Seasonal Filters Seasonal Adjustment Box-Jenkins Methodology Autocorrelation and Partial Autocorrelation Ljung-Box Q-Test Detect Autocorrelation Engle's ARCH Test Detect ARCH Effects Test Autocorrelation of Squared Residuals Engle's ARCH Test Unit Root Nonstationarity Modeling Unit Root Processes Testing for Unit Roots Test Simulated Data for a Unit RootAssess Stationarity of a Time Series Test Multiple Time Series Information Criteria Model Comparison Tests Likelihood Ratio Test Lagrange Multiplier Test Wald Test Covariance Matrix Estimation Compare GARCH Models Using Likelihood Ratio Test Check Fit of Multiplicative ARIMA Model Goodness of Fit Residual Diagnostics Check Residuals for Normality Check Residuals for Autocorrelation Check Residuals for Conditional Heteroscedasticity Check Predictive Performance Nonspherical Models Plot Confidence Band Using HAC Estimates Change the Bandwidth of a HAC Estimator


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