What minimum d value do you get a p-value below five percent

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Problem

Generate a time series that follows a sinusoidal function. This is a stationary series with memory.

(a) Compute the ADF statistic on this series. What is the p-value?

(b) Shift every observation by the same positive value. Compute the cumulative sum of the observations. This is a non-stationary series with memory.

(i) Compute the ADF statistic on this series. What is the p-value?

(ii) Apply an expanding window fracdiff, with τ = 1E - 2. For what minimum d value do you get a p-value below 5%?

(iii) Apply FFD, with τ = 1E - 5. For what minimum d value do you get a p-value below 5%?

 

Reference no: EM131926781

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