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I wonder if there is a way to print the KPSS test equation? A second question is what bandwidth selection is used in these tests. Is it Newey-West, Andrews automatic or something else? Best regards

PS. I also wonder if a constant and a time trend is included in the KPSS tests so that the tests are conditional on the exogenous variables or not?

It is not possible to print the KPSS test equation (although, of course, you can perform the KPSS yourself and see it).

It uses a Bartlett Kernel with NW auto bandwidth.

A constant is always included, a trend is not.