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The current print-statement in summary.mboostLSS is:
cat("Step size: ", object[[1]]$control$nu, "\n\n")https://github.com/hofnerb/gamboostLSS/blob/master/pkg/R/methods.R#L290
Which means you see only the step length of the first distribution parameter.
If it would be
cat("Step size: ", sapply(object, function(x) x$control$nu), "\n\n")one would see if different step-lengths are used for the distribution parameters.
Best