Solved – Library routine for rolling window lag 1 autocorrelation

In python, the pandas library has a function called rolling_apply that, in conjunction with the Series object method .autocorr() should work. Here's an example for $N = 10$.

import pandas as pd y = pd.Series(np.random.normal(size = 100)) pd.rolling_apply(y, 10, lambda x: pd.Series(x).autocorr()) 

Another option is pandas.rolling_corr, so long as you shift the index of the series, and account for that shift in the size of the window:

df = np.array([y[0:-1].values, y[1:].values])  df = df.transpose() df = pd.DataFrame(df) pd.rolling_corr(df[1], df[0], 9) 

If you'd like to examine autocorrelation for lags other than 1, the latter approach is more flexible. (In that case I'd advise special care to make sure your indexing matches your intended window; tripped me up at first.)