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math.PR2023
Another look at binomial and related distributions exceeding values close to their centre
Tilo Wiklund
We generalise the known fact that for binomial one has $\inf_{k>1,n} \mathrm{P}(X_{n,k} \geq k) \geq \lim_{k \to 1+}\mathrm{P}(X_{2,k} \geq k) =…
math.PR2020
Convex transform order of Beta distributions with some consequences
Idir Arab, Paulo Eduardo Oliveira, Tilo Wiklund
The convex transform order is one way to make precise comparison between the skewness of probability distributions on the real line. We establish a simple and complete characterisa…