Zobrazeno 1 - 10
of 136
pro vyhledávání: '"Klebanov, Lev B."'
Autor:
Kakosyan, Ashot V., Klebanov, Lev B.
The main result of the paper is the following. Let a non-degenerate distribution have finite moments $\mu_k$ of all orders $k=0,1,2,\ldots$. Then the sequence $\{\mu_k/k!, \; k=0,1,2,\ldots\}$ either contains infinitely many different terms or at mos
Externí odkaz:
http://arxiv.org/abs/2403.11906
Autor:
Klebanov, Lev B., Kuvaeva, Yulia V.
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, Lotka, and some new ones. The reasons are illustrated using suitable
Externí odkaz:
http://arxiv.org/abs/2301.09393
Autor:
Klebanov, Lev B., Šumbera, Michal
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-negative integer-valued random variables to scaling by arbitrary positive
Externí odkaz:
http://arxiv.org/abs/2204.08871
Autor:
Klebanov, Lev B., Vol'kovich, Zeev E.
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 constancy of regression of one statistic on a linear form are obtained.
Externí odkaz:
http://arxiv.org/abs/1911.11193
Autor:
Klebanov, Lev B.
There is given a characterization of hyperbolic secant distribution by the independence of linear forms with random coefficients. We provide a characterization by the identic distribution property. Keywords: hyperbolic secant distribution; characteri
Externí odkaz:
http://arxiv.org/abs/1905.09910
We state some inequalities for m-divisible and infinite divisible characteristic functions. Basing on them we propose a statistical test for a distribution to be infinitely divisible. Keywords: infinite divisible distributions; statistical tests.
Externí odkaz:
http://arxiv.org/abs/1904.07604
The aim of this paper is to show a possibility to identify multivariate distribution by means of specially constructed one-dimensional random variable. We give some inequalities which may appear to helpful for a construction of multivariate two-sampl
Externí odkaz:
http://arxiv.org/abs/1808.05214
Autor:
Klebanov, Lev B., Volchenkova, Irina
The aim of the paper is to show that the presence of one possible type of outliers is not connected to that of heavy tails of the distribution. In contrary, typical situation for outliers appearance is the case of compact supported distributions. Key
Externí odkaz:
http://arxiv.org/abs/1807.08715
A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Equality sign in the inequality gives a characteristic property of some
Externí odkaz:
http://arxiv.org/abs/1805.06483