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Sep 29 at 14:31 comment added krkeane I might be reading too much into your diagram, but I would describe the illustration as measurements from a sensor with two modes: functioning and broken. The data is generated from two distinct processes. I would look into a latent mixture model, where the mode switches with some probability given the mode in the prior time period.
Sep 17 at 17:31 vote accept James
Sep 7 at 20:22 comment added zhaokg Not sure what is exactly meant by "forecasting". There are for sure lots of traditional methods for changepoint detection and time-series segmentation such as the strucchange, changepoint , and ecp packages in R and the ruptures package in Python. My own R and Python package Rbeast provides a Bayesian way, though no intended for forecasting, it can be twisted a little bit for prediction.
Aug 28 at 1:41 answer added Adam Check timeline score: 3
Aug 27 at 15:55 answer added jmarkov timeline score: 1
Aug 27 at 4:53 history asked James CC BY-SA 4.0