{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# T8 - STA4005B Time Series(2007-2008 Tutorial 8(18/3...

This preview shows pages 1–2. Sign up to view the full content.

STA4005B Time Series (2007-2008) Tutorial 8 (18/3, 19/3) (Time & Venue: T9, BMS LT; W5, MMW 704) Estimation Methods Suppose a sample realization { is obtained and ARIMA model is proposed to fit the data. } n t Z t , , 2 , 1 , K = Then we want to estimate the parameters in the model after model specification. For an ARIMA model , ) ( ) ( ) 1 )( ( t t d a B Z B B θ µ φ = we want to estimate the parameters , µ , ' s φ s ' θ and . 2 a σ 1. Method of Moment First find some formulas are related to the population moment and the parameters which you want to estimate. Then replace the population moment by sample moment and solve for the parameters. Population Moment Sample Moment µ = = n t t Z n Z 1 1 j ρ j r 0 γ 2 1 2 ) ( 1 1 Z Z n S n t t = = or 2 1 0 ) ( 1 Z Z n c n t t = = For example, a) For time series with mean µ , the estimator of mean is the sample mean Z . b) For AR(p), the Yule-Walker equations are =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern