logistic (3858) is one of our most popular tags; its wiki excerpt says
Refers generally to statistical procedures that utilize the logistic function, most commonly various forms of logistic regression
It has a merged tag synonym logistic-regression. I looked at the questions in this tag (both newest questions and most upvoted questions), and it seems that overwhelming majority is about logistic regression as opposed to logistic function as such. I would therefore suggest to make
[logistic-regression] the master tag. I don't like the current tag name because "logistic" is an adjective, and it's not completely clear from the tag name if it refers to the logistic regression or possibly to something else. I think it makes more sense if tag names are nouns.
More importantly, we have a separate logit (432) tag. I feel that most of the questions in this tag are also about logistic regression. Wikipedia starts the https://en.wikipedia.org/wiki/Logistic_regression article with "In statistics, logistic regression, or logit regression, or logit model..." We have a [probit] tag too, so anybody asking about probit vs logit is likely to use [logit] tag, but their question is really about logistic regression. Again, some small fraction of the questions might be about logit function as such, but most of the threads are about logistic regression (I checked), and separation of this topic into two tags (logistic and logit) is very unhelpful.
My suggestion is to map both [logistic] and [logit] to [logistic-regression].