Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose a time series of returns r, follows the following recursive formula: = (1 — αL)(1 — BL³) at where a, is a normal white noise series with variance 6₂. The integer constant S>3 models the seasonal effect. What type of model is r, and what is its order? Calculate the mean and variance of r,. Calculate the covariance of r, and r₁-, as well as the covariance of r, and r₁-2. Calculate the lag s-1, s and s + 1 autocorrelation of r,.

Suppose a time series of returns r, follows the following recursive formula: = (1 — αL)(1 — BL³) at where a, is a normal white noise series with variance 6₂. The integer constant S>3 models the seasonal effect. What type of model is r, and what is its order? Calculate the mean and variance of r,. Calculate the covariance of r, and r₁-, as well as the covariance of r, and r₁-2. Calculate the lag s-1, s and s + 1 autocorrelation of r,.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please provide a derivation of the results. Thank you!

Suppose a time series of returns r, follows the following recursive formula: = (1 — αL)(1 – BL³) at where a, is a normal white noise series with variance 6₂. The integer constant S> 3 models the seasonal effect. - What type of model is r, and what is its order? Calculate the mean and variance of r,. Calculate the covariance of r, and r₁-, as well as the covariance of r, and r₁-2. Calculate the lag s-1, s and s + 1 autocorrelation of r, .
Transcribed Image Text:Suppose a time series of returns r, follows the following recursive formula: = (1 — αL)(1 – BL³) at where a, is a normal white noise series with variance 6₂. The integer constant S> 3 models the seasonal effect. - What type of model is r, and what is its order? Calculate the mean and variance of r,. Calculate the covariance of r, and r₁-, as well as the covariance of r, and r₁-2. Calculate the lag s-1, s and s + 1 autocorrelation of r, .
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS