Neven Elezovi'c

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20092026

most citedAsymptotic expansions of exponentials of digamma function and identity for Bernoulli polynomials

1 citations · 1 across the 4 of their papers we have counts for

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math.PR2026

Discrete total variation under the multinomial, Part 2: variance under the uniform null

Nikola Banić, Neven Elezović

For the counts $(X_{1}, \dots, X_{n}) \sim Mult (N; 1/ n, \dots, 1/ n)$ of $N$ observations in $n$ ordered bins we study the variance of the discrete total variation $d=\sum_{i=1}^{n-1}…

math.PR2026

Absolute moments of the binomial distribution folded at its mean

Neven Elezović

Let $X \sim B in (N, p)$ and $Y=|X-Np|$. We derive an exact reduction for every odd absolute moment of $Y$, expressing it through finitely many central masses and central tail prob…

math.PR2026

Multinomial probabilities near the mode: integer modes and the complete local expansion

Neven Elezović

Let $X \sim Mult (N; p_{1}, \dots, p_{n})$ with $p_{i} > 0$ and $\sum_{i} p_{i} = 1$ . We study $Pr {X = m}$ for lattice points near $N p$ from two complementary viewpoints. First, we give an exac…

math.PR2026

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series

Neven Elezović

For each of the four classical discrete laws --- binomial, Poisson, negative binomial and hypergeometric --- the mean absolute deviation about the mean collapses to a single point…