Is it possible to avoid negative prediction intervals in fable with non-negative time series that include natural zeros? Box-Cox transformation with lambda=0 can be used when there is no zero but what if it includes many zeros.

You could use a log(x+c) transformation where c is some small number. It doesn't quite solve the problem, but often works well enough.

Otherwise you could try a different transformation. Some are discussed here: https://stats.stackexchange.com/q/1444/159

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