5 papers
Absolute moments of the binomial distribution folded at its mean
Neven Elezović
Let 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…
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…
Comb Test: Histogram Uniformity Testing Based on Discrete Total Variation
Nikola Banić, Neven Elezović
Histogram uniformity testing is a common statistical task usually performed using Pearson's chi-square test. This paper proposes a complementary test based on the discrete total va…
TVOR: Finding Discrete Total Variation Outliers among Histograms
Nikola Banić, Neven Elezović
Pearson's chi-squared test can detect outliers in the data distribution of a given set of histograms. However, in fields such as demographics (for e.g. birth years), outliers may b…
Box dimension of trajectories of some discrete dynamical systems
Neven Elezović, Vesna Županović, Darko Žubrinić
We study the asymptotics, box dimension, and Minkowski content of trajectories of some discrete dynamical systems. We show that under very general conditions, trajectories correspo…