Throughout this problem, consider the following setting: rng('default') % Set the random number generator to the default s A first order autoregressive model (AR(1)) can be defined in the following way. 3₁=PY₁-1+₁=1,2,....T.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Problem 4
Throughout this problem, consider the following setting:
rng('default') % Set the random number generator to the default seed
A first order autoregressive model (AR(1)) can be defined in the following way.
3₁=P-1+1=1,2,....T.
where y, denotes the value of y at time . p is a parameter and u, is a random variable that has a
standard normal distribution. When p=1, the model is called the random walk model. Assume
that yo0 (when t-0), and T-200. Use a for loop to generate 200 observations according this model
when p= 1 and p=0.7. Plot your resulting observations in both cases. Your code snippet should generate
the figure given below. Recall that the normrnd function can be used to generate random numbers from the
standard normal distribution
% Solution
20
15
10
20
2
40
Random walk versus AR(1)
Пилинмым
заличани
60 80 100 120 140
1
pay
0.7
hany
160 180
200
Transcribed Image Text:Problem 4 Throughout this problem, consider the following setting: rng('default') % Set the random number generator to the default seed A first order autoregressive model (AR(1)) can be defined in the following way. 3₁=P-1+1=1,2,....T. where y, denotes the value of y at time . p is a parameter and u, is a random variable that has a standard normal distribution. When p=1, the model is called the random walk model. Assume that yo0 (when t-0), and T-200. Use a for loop to generate 200 observations according this model when p= 1 and p=0.7. Plot your resulting observations in both cases. Your code snippet should generate the figure given below. Recall that the normrnd function can be used to generate random numbers from the standard normal distribution % Solution 20 15 10 20 2 40 Random walk versus AR(1) Пилинмым заличани 60 80 100 120 140 1 pay 0.7 hany 160 180 200
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