Have others noticed a tendency for new users of mathSE to be treated poorly by existing users? The worst cases remind of some low-brow college fraternity where new users are expected to show they have earned their stripes, rather than being judged on the merit of their questions.
See, for instance, the complaint posted here yesterday: How can I quit this site? , complaining of exactly this behaviour.
I have encountered a surprisingly large number of interesting, or tricky, or research-level questions (i.e. where textbook solutions do not likely exist) posed by new users, ... and in return for asking an interesting question (rather than their homework), two things happen:
a) An existing user writes a comment quip like: "What have you tried?"
b) Then the gang frat behaviour follows, and the interesting question is closed down.
An example is this question:
The pdf of multiple independent gamma random variables
or this question (now removed):
PDF of the product of a standard Normal and a squared Normal
... still currently CLOSED.
UPDATE
Since this seems to have become a bit embarrassing to those involved, i.e. the inappropriate closing down of an original research question on mathSE, someone has now deleted the question, so that others here cannot see it and make up their own minds.
Here is a verbatim copy of the OP's clarified question:
Let $Z \sim N(0,1)$ and $X \sim N(\mu,\sigma^2)$ be independent random variables.
Is it possible to find a closed-form solution for the pdf of $Y=Z X^2$? I am also interested to find the characteristic function of $Y$.
Here is a $2^\text{nd}$ example:
distribution of Uniform to the power of Uniform
Here is a $3^\text{rd}$ example:
Distribution of X³ / Y when X and Y are uniforms distributions
While this might look like a simple question, for anyone who is familiar with the subject matter, it plainly is not simple, and I am not sure if a 'closed-form' solution even exists. Asking the OP what s/he has tried is frankly insulting and pointless, because it does nothing to progress the answer. That is a comment suited to someone posting their homework: and this is plainly not a homework question. What role is a moderator performing in deleting a question like this?
There are a number of concerns here:
The first is the closing down of genuinely interesting or difficult or research questions on this site. That is what I would hope is the real purpose of this site --- not just to see the same homework questions again and again and again
The second is the treatment of new users that are ultimately the mechanism for growth and interest
The third is that experienced users who are not familiar with a particular subject matter are closing down questions that they themselves could not answer, or do not realise are interesting questions ... and they are shutting down the question presumably simply because the person asking the question is 'new'. That does not seem to be a good reflection on the site either, nor a valid basis for closing interesting questions.
What have you tried?
There are a number of existing questions on meta about people commenting "What have you tried?" See, for instance: What did you try? and What have you tried? Is this homework? You will get more help if ... and more recently A criterion for distinguishing between two kinds of questions
I personally think answering "What have you tried?" is perfectly fine if the question is a homework question. My area of concern is when questions that appear to be simple, but are in fact complicated, get shut down, perhaps because they are being interpreted as homework questions, when they are not. In my opinion, the fact that someone is new is often used as an information signal to suggest that this is likely to be a low-quality question ... but that is not always the case.
Have others noticed a tendency for new users of mathSE to be treated poorly by existing users? ... I have encountered a surprisingly large number of interesting, or tricky, or research-level questions (i.e. where textbook solutions do not likely exist) posed by new users,
Then you ought to be providing more links to the "surprisingly large number of interesting questions" which get closed. $\endgroup$