27 citations · 60 across the 30 of their papers we have counts for
33 papers
Discrete distributions and statistical mechanics of small systems
Lev B. Klebanov, Michal Šumbera
We study connections between discrete probability distributions and the statistical mechanics of small systems. Using probability generating functions, we develop the theory of pow…
Heavy-tailed probability distributions in social sciences
Lev B. Klebanov, Yulia V. Kuvaeva
We present an overview of possible reasons for the appearance of heavy-tailed distributions in applications to the natural sciences. These distributions include the laws of Pareto,…
Independence of Linear Statistics with Random Coefficients and Characterizations of Geometric and Poisson Distributions
Lev Klebanov
There is given a characterization of the geometric distribution by the independence of linear forms with random coefficients. The result is a discrete analog of the corresponding t…
On Sibuya-like distributions in branching and birth-and-death processes
Lev B. Klebanov, Michal Šumbera
We report some properties of heavy-tailed Sibuya-like distributions related to thinning, self-decomposability and branching processes. Extension of the thinning operation of on-neg…
Statistical Indicators of the Scientific Publications Importance: a Stochastic Model and Critical Look
Lev Klebanov, Yulia Kuvaeva, Zeev Volkovich
A model of scientific citation distribution is given. We apply it to understand the role of the Hirsch index as an indicator of scientific publication importance in Mathematics and…
Some More Results on Characterization of the Exponential Distribution
Lev B. Klebanov, Zeev E. Vol'kovich
There are given characterizations of the exponential distribution by the properties of the independence of linear forms with random coefficients. Related results based on the const…