As we would typically estimate the success probability p with the observed success probability \(\hat{p} = \sum_iX_i/n\), we might consider… Read more
Category: Expectation
A Probability Problem in Heredity – Part 2
In my last post I solved a problem from chapter 2 of M.G. Bulmer’s Principles of Statistics. In this post… Read more
The standard deviation of the sampling distribution of the mean
Someone on Reddit posted Chapter 1 of Howard Wainer’s book, Picturing the Uncertain World. The name of the chapter is… Read more
The moment generating function of the gamma
The moment-generating function of the gamma distribution is \( M(t) = (1-\theta t)^{-\alpha}\). Such a friendly little guy. Not what… Read more
Why the moment-generating function works
In a previous post, I described how a moment-generating function does what its name says it does. Still, though, it’s… 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