Statistics 520, Spring 2007

Class meetings are TTh, 3.00-4.15pm, REC 307

Time Series and Applications

Professor M. Levine

Office hours: TTh, 2.00-3.00pm, HAAS 154

Syllabus

Introduction: Chapter 1

Homework 1: Pr. 1.4, 1.5, 1.7, 1.10, 1.18 Due on Tue, Jan 30th

In the Pr. 18, run several tests for dependence and report your results at some significance level.

Also, when doing the forecasting, try to forecast both 24 and 48 months ahead; try to compare precision of these forecasts by visual comparison

Solution to the HW #1 us here

Chapter 2

Homework 2: Pr. 2.1, 2.2, 2.4, 2.8 and additional problems. Due on Tue, Feb 6th The solution is here

Some of the data sets we use in the first two-chapters:

Monthly simple returns of IBM stock from Jan 1926 to Dec 1997

Monthly returns of the value-weighted index from the Center for Research in Security Prices (CRSP), University of Chicago from Jan 1926 to Dec 1997

Quarterly GNP (Gross National Product) of the US from 1947 to 1991

Monthly US Unemployment Rate Data

Code for simple prediction using AR(3) mode fitted for the CRSP value-weighted index data

Simple autoregressive (AR) models: properties, basics of model selection and parameter estimation

Homework 3 is here. It is due on Thursday, Feb 15th. The solution is here

Moving average (MA); the general ARMA/ARIMA models

Homework 4: Pr. 3.1, 3.3, 5.1, 5.3 and an additional problem. Due on Tue, March 7th. The Solution is here

Time series estimation methods

Time series forecasting. Here is a data example (code) and a dataset

Homework 5 is here (two problems) plus problem 5.9 from the textbook. It is due next Tue, March 27th

Nonstationarity in time series

Heteroskedasticity in time series and volatility models. Here is an example of GARCH analysis code in R

Homework 6 is here. It is due on Tue, Apr 10th

Frequency domain theory: spectral density and its properties

Homework 7: Pr. 4.1, 4.2, 4.4, 4.7 plus two additional questions. In the problem 4.7, feel free to use R instead of ITSM or any other statistical software you like.

 is here. It is due on Thr, Apr 19th

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