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  • How to create toy data with autocorrelation?

    Hi,

    I want to create a fictional dataset where the error term of a time series regression should be characterized by p-th order autocorrelation.
    I'm stuck with imposing the autocorrelation ... Does somebody has a clue how to generate this type of data?

    Below you find something similar where I generated heteroskedasticity (which turns out fine) ... so I would be very happy to be able to create something similar, but with autocorrelation ...
    Code:
    clear
    set seed 123
    set obs 200
    * Creating independent variable
    gen x=runiform(1,1000)
    * Creating heteroskedastic resid
    gen sd=runiform(0,4)
    gen u=2*rnormal(0,sd*x)
    * Creating dependent variable
    gen y=1000+10*x+u
    * Regression (and plots indication heteroskedasticity)
    reg y x
    scatter y x
    rvfplot
    Thank you very much!
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