I am trying to use Random Forest Regression to better predict the output of a manufacturing process.

Until now, I was using PLS regression to do so but it turned out that Random Forest Regression gave better results (lower RMSE on the test dataset). My main concern

is that I am not able to give a prediction interval in addition to the prediction given as it is usually done with classical linear regression.

Is there a way (gold standard or not) to compute prediction intervals on random forest regression? It is of main interest as I need to quantify the risk for my next output to be out of specifications limit (which is pure waste and costs).

Thanks for your help.

Cédric.