2 minute read
It’s been a really long time (nearly 9 months!) since I posted on this, but as a part of my ongoing professional development, I’ve decided that 2019 will see me posting weekly at the very least. I’ve been working on various projects behind the scenes, but I’d like to introduce two new projects that I will be working on in the coming future. One will be an independent project and another will be done with a close friend of mine. Without further ado, I’ll introduce the first project.
I remember when I first entered the mathematics department, I did it specifically because I saw just how excited the professors were about their field. Those first few months were obviously not super exciting as I hadn’t really done any math since high school, and at the time, I had no interest in it nor any interest in continuing it.
Before reading this, it’s important to have an understanding of The Secretary Problem, which is detailed in my previous post The Secretary Problem.
When perusing Cross Validated, I came across someone seeking to simulate the Secretary Problem which was summed up quite nicely by this problem text:
In my Generalized Linear Model class, we were tasked with proving that with high $\lambda$, the Poisson distribution approaches the standardized normal distribution. I went ahead and wrote up the proof for the extra credit and really enjoyed doing it. I’ll note that converting the exponential to a series was not my idea and had a little Stack Exchange inspiration. It reminded me how useful series expansions were, so that will hopefully prove useful in future research.