For some analysis work with probability distributions, I remember a common trick being to drop the "integrate to 1" requirement, so the set becomes closed under addition and is mor …

So, when doing LaTeX, it is absolutely necessary for ones sanity to using a preview program which updates automatically every time you compile. Of course, any previewer designed f …

Dear all, what is the probability density function, PDF, of $f(x)=\sin(x)^{-1}$ when $x$ is uniformly distributed in $(0,90)$ ? $f(x)=\sin(x)$ has a known PDF, which has the for …

Let me clarify my needs. The PDF must comply to: 1. The mean is always in the shorter tail 2. Should have an inverse function 3. Be defined in the interval [0, 1] 4. Should have a …

I am programming a simulation project where I stuck at calculating some pdf and expectation: I decided to devise my 'custom' pdf as follows: it must be high at low d and vise …