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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.
8
votes
Accepted
Zeta zeros standard normal distribution about $\vartheta (\gamma_n)$
What you're observing is a remarkable theorem of Selberg. The usual notation is to let $N(T)$ denote the number of zeros of $\zeta(s)$ with ordinates between $0$ and $T$. Then the argument principle …
68
votes
Accepted
Are the primes normally distributed? Or is this the Riemann hypothesis?
These questions on the spacings between primes are expected to be true, but are far from being proved. They are not directly related to RH, but seem to encode other relations among zeros. The conjec …
12
votes
Accepted
Mean of i.i.d Random Variables With No Expected Value
We can attack this problem by using Fourier transforms (i.e. characteristic functions). I'll consider
the example in the problem where $X$ is a random variable taking the value $0$ with probabilit …