In a previous post, I described how a moment-generating function does what its name says it does. Still, though, it’s… Read more
Deriving the Poisson Distribution
The Poisson distribution can be derived from the binomial distribution by doing two steps: substitute \( \frac{\mu}{n} \) for p… Read more
Fume Cupboards
I was reading one of my favorite statistics books, Principles of Statistics, and came across a fun problem I decided… Read more
How many rolls of a die to see all sides at least once?
Say you have a fair die. (Most of them are these days.) You roll it once and observe a 3…. Read more
The moment-generating function
The moment-generating function (or mgf) is probably better understood if you simply focus on its name rather than its formula…. Read more