APPLIED TIME SERIES ANALYSIS

Ph.D. in ECONOMICS

UPF and BGSE

Syllabus
Course Project
(List of Economic Indicators)
and to have some fun before the course starts go to http://vimeo.com/852635
(see if by the end of the course you can write a song about your empirical project)
Introduction      +       more
Nexus I (from McFadden 2000)
Nexus II (Introduction Mixing) + more
StochasticProcessesExamples
Reading 1 (Ergodicity)
(from Breiman (1969) "Probability and Stochastic Processes: With a View Toward Applications")
ARMA Processes
Chapters 3 of Brockwell and Davis (1991) and Wei (1989) + Wold's decomposition from Brockwell and Davis (1991)
ARMA Processes
ARMA Models  (from Wei's book)

Nexus I
Nexus II  (notes of Guido Kuersteiner MIT

Reading 2 ( Identification of Arma models) (Hannan (79))
Estimation and Inference
Model Selection (notes in class)
Chapters 6-7-8 of Brockwell and Davis         (1991) + Lecture Notes on Martingale Theory
+ Lecture Notes on Estimation-Inference
+ Lecture Notes on Model Selection
Nexus I (Basic Asymptotics by Potcher and Prucha, 1999)
Nexus II (notes of Guido Kuersteiner MIT)







Asymptotics for Linear Processes
Reading 3
(Phillips & Solo, 1992)
Forecasting
Chapters 5 of Brockwell and Davis (1991)
and of Wei (1989)+
Lecture Notes on Forecasting Theory
(with a bit of LRVariance estimation)
+ Forecasting (
From Wei's book)
+ Forecasting I, (master-level)
+ Forecasting II (master-level)

Nexus(notes of Herman Bierens)
  Reading 4 (Forecast Evaluation) (Diebold & Lopez, 1995)
The Land of Unit Roots

Appendix 0 on BMotion
Appendix 1 on FCLT
Appendix 2 on FCLT

Graphs1
Graphs2

Nexus(Notes of Herman Bierens on Unit Roots)
Applets on:

Brownian Motion I
Brownian Motion II
Brownian Motion III
Brownian Motion IV


  
Reading 5 (Handbook of Econometrics: Unit Roots and Breaks, Jim Stock)

Reading 6 ("Relative power of t type tests for stationary and unit root processes")  (J. Gonzalo and T.Lee, 1997)

Reading 7 ("On the Exact Moments of Asymptotic Distributions in an Unstable AR(1) with Dependent Errors), (J. Gonzalo and J. Pitarakis, 1998)

Brief Introduction to Structural Breaks
 

Reading 8 (Structural Breaks by Pierre Perron)


VAR Models
Nexus I (notes of Chris Sims on  VARs
Nexus II (notes of Guido Kuersteiner on VARs
VAR Models with E-Views Reading 9 (VAR notes by Mark Watson)

Reading 10 (Structural VAR notes by Eric Zivot)

Spurious Regression and Cointegration



Appendix 1: on Canonical Correlations and  Reduced Rank Regressions              






Reading 11 (Spurious Regression with I(0))
(Granger, Hyung and Jeon, 1998)

Reading 12 (Handbook of Econometrics: VARs and Cointegration, Mark Watson)

Reading 13 ("Five Alternative Methods
 of Estimating Long-RunRelationships")

(J. Gonzalo,  1995)

Reading 14 ("Pitfalls on Testing Long-Run Relationships") (J. Gonzalo and T.Lee,  1998)



Cointegration and Common Factors
Some Applications: Price Discovery
+
Lecture Notes


 

(Andrew Buck- Temple University)
Reading 15 (A companion to Theoretical Econometrics: Cointegration, Dolado, Gonzalo and Marmol)

Reading 16 ("Common Long-memory Components") (J. Gonzalo and C.Granger,  1996)



FINAL PROJECT
(to be presented during the last week of the course)