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Apr 20, 2021 at 7:30 comment added Richard Hardy @CBBAM, Hamilton "Time Series Analysis" textbook, Tsay "Analysis of Financial Time Series" textbook and other time series / financial econometrics textbooks. See also "Specifying an ARMA-GARCH model without rugarch" and "Algorithm to fit AR(1)/GARCH(1,1) model of log-returns".
Apr 20, 2021 at 7:28 comment added CBBAM Thank you. So when finding the parameters through MLE, what are we testing on? For example, in ARMA and GARCH we have $\epsilon_i$'s. Are these randomly taken from the distribution? Do you have any references I can look further into?
Apr 20, 2021 at 5:29 history answered Richard Hardy CC BY-SA 4.0