I've noticed the following about some facts in probability and statistics (it is probably true more generally). Some results (formulas, for instance) may be moderately straightforward to derive and check, but they are not documented anywhere (at least anywhere easy to find). So, everyone working on that problem needs to perform (and double-check) all those calculations for themselves when doing their work.
For example, the existence and formulae for the moments of some probability distribution may not be very easy to search for but may take about an hour or two derive and check.
I feel that the research in the community would proceed quicker if these calculations were documented somewhere. What is the standard way of addressing this situation?
- Just do the calculation yourself, and don't worry about the rest of the community
- Write a blog post
- Write it up on Wikipedia
- Write a so-called "note" on something like arXiv
I should note that I am pretty new to the game of research.