# Tagged Questions

Questions on using, finding, or otherwise relating to probability distributions, pdfs, cdfs, or the like.

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I am going through a paper trying to understand all the single steps, but I got stuck. I need to calculate $$p(x+\delta t) \mid x(t), t)= \int p(x(t+\delta t) \mid \mu , x(t), t)p(\mu\mid x(t), t) ... 0answers 54 views +50 ### Solution to a certain moment problem I'm looking for a function f that satisfies f(x)\geq0 \int f(x) \mathrm{d}x=1 \int xf(x) \mathrm{d}x=0 \int x^2f(x)\mathrm{d}x=1 \int x^4f(x)\mathrm{d}x=\delta \int ... 1answer 69 views +100 ### Multivariate normal density function of function of random variable Let X_1,\dots,X_n be i.i.d random variables and g be a symmetric function such that$$g(X_i,X_j)\sim N(\mu,\sigma^2) for all $1\le i<j\le n$. I wish to know the density function of the joint ...
Suppose we have a non-negative random variable $\tilde{\theta}$ such that $\mathbb{E}\tilde{\theta} = a > 0$, with finite variance $\sigma^2$. $\tilde{\theta}$ can take on values from $0$ to ...
Warren has a little proof of Benford's law in Hacker's Delight. To quote: Let $f(x)$ for $1 \leq x < 10$ be the probability density function for the leading digits of the set of numbers with ...