financialkit.time_series ======================== .. include:: /_generated/nav/time_series.rst Returns and their stylized facts (the Hill tail index, moments and the Jarque-Bera test); tests of the random walk (serial correlation, Fama's runs test, Box-Pierce and Ljung-Box, Lo-MacKinlay variance ratios); Yule-Walker autoregressions (``scipy.linalg.solve_toeplitz``), partial autocorrelations, ARMA simulation (``scipy.signal.lfilter``) and conditional maximum likelihood (``scipy.optimize.least_squares``) with AIC/BIC order selection; the augmented Dickey-Fuller and Engle-Granger tests with MacKinnon's critical values; Hurst's rescaled range and fractional Gaussian noise; ARCH, GARCH, EGARCH, GJR-GARCH and RiskMetrics EWMA volatility models fitted by maximum likelihood (``scipy.optimize.minimize``), Engle's ARCH-LM test, Parkinson's range estimator and realized variance. .. automodule:: financialkit.time_series :members: :undoc-members: