TS Module 5 Stationary moving average processes
(The attached PDF file has better formatting.)
General linear processes
Moving average processes
Read Section 4.1, “General linear processes,” on pages 55-56. Know the equations in this section; they are basic tools for time series analysis.
Read Section 4.2, “Moving average processes,” on page 57-58.
Note the negative sign for è in equation 4.2.1. Don’t err by using “+è” on an exam problem.
Know equations 4.2.2 on page 57; they are tested on the final exam. Know the table on the top of page 58. An exam problem may give you è1 and ask for ñ1 (or vice versa).
As you work through the modules, keep the parameters distinct. The true parameters are unknown; we must estimate them. These are the ö and è parameters. These parameters imply the autocorrelation function, the ñ parameters. We observe sample autocorrelations, or the r parameters, from which we back into estimates of the ö and è parameters.
Pages 58 through 62 are mostly graphs. Understand what the graphs show; you need not memorize their shapes, but you must know the principles of a high or low autocorrelation.
Don’t just flip pages. The authors often show two or more graphs, with different values of a time series parameter. Understand how the parameter affects the shape of the graph.
Read pages 62-65 on moving average processes.
Know equation 4.2.3 on page 63. Work through the derivation on pages 62-63. After a few exercises, the procedure is not hard.
Know equation 4.2.4 on page 65. The final exam tests 4.2.4, but not 4.2.5.