I’m in the second half of an electrical engineering doctorate but have come to realize that mathematical statistics and the theoretical side of information theory might be more my calling. I am too far along in my research to pivot my doctoral thesis to this abstract of an area, especially considering I am in the engineering department.

I am relatively strong in math (Tall for a hobbit… taking the grad functional analysis sequence, albeit late relative to when math students see it) and have a (very conservative) original math side project, so I believe I am at least capable of understanding math research. However my environment is still most conducive to studying engineering problems, not math/stats ones.

*If someone in this position wanted to research and publish in mathematical statistics later on, would an engineering doctorate be enough credentials to do so?*

There are two reasons I ask:

- The amount of math knowledge implied by a typical engineering doctorate is not anywhere near the amount necessary to do research in statistics theory. (Not to say the EEs I have met here aren’t extremely capable in their field, just most aren’t focused on research level math).
- The direction my adviser and I are headed with my current thesis is interesting and useful. I’m not about to drop my engineering degree.
- If it isn’t necessary I would rather not jump through all the hoops of getting a PhD all over again.