I have a time series technique I want to try out. Is there a list of canonical data sets or time series data that I should test my technique on so that I can see if the technique works? For example, when it comes to ML, the IRIS and MNIST are some popular datasets that one should test, and there are benchmarks to exceed.
In R, I could generate any order Arima() using Arima.sim() function. I plan to generate AR(1) and MA(1), probably ARMA(1, 1), AR(2), MA(2), and ARMA(2, 2), data. Are there any other ones I should generate to cover the main types of data? Maybe seasonal data or regression with time series error type data? And finally, are there any popular real-life time-series data sets I should test the technique on? The response can be either categorical or numerical.