Results 11 to 20 of about 15,342 (189)
FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]
We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infinite divisibility of the classical Gaussian distribution.
Arizmendi, Octavio, Belinschi, Serban T.
openaire +2 more sources
A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
doaj +1 more source
Asymptotically Normal Estimators for the Parameters of the Gamma-Exponential Distribution
Currently, much research attention has focused on generalizations of known mathematical objects in order to obtain adequate models describing real phenomena.
Alexey Kudryavtsev, Oleg Shestakov
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A product autoregressive model with log-Laplace marginal distribution
The log-Laplace distribution and its properties are considered. Some important properties like multiplicative infinite divisibility, geometric multiplicative infinite divisibility and self-decomposability are discussed.
Kanichukattu K. Jose, Manu Mariam Thomas
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Three classes of decomposable distributions
In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem +2 more
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On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws [PDF]
We consider a class of probability measures $\mu_{s,r}^{\alpha}$ which have explicit Cauchy-Stieltjes transforms. This class includes a symmetric beta distribution, a free Poisson law and some beta distributions as special cases.
Arizmendi, Octavio, Hasebe, Takahiro
core +2 more sources
On a Method of Introducing Free-Infinitely Divisible Probability Measures
Random integral mappings give isomorphism between the subsemigroups of the classical (I D, *) and the free-infinite divisible (I D, ⊞) probability measures.
Jurek Zbigniew J.
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Two- and three-cocycles for Laver tables [PDF]
We determine all 2- and 3-cocycles for Laver tables, an infinite sequence of finite structures obeying the left-selfdistributivity law; in particular, we describe simple explicit bases.
Dehornoy, Patrick, Lebed, Victoria
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Marshall-Olkin Generalized Asymmetric Laplace distributions and processes
The Marshall-Olkin Generalised Asymmetric Laplace distribution is introduced and studied. An approximation is made and various properties including self decomposability, geometric infinite divisibility, limit properties etc.are established.
E. Krishna, Kanichukattu K. Jose
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Hypergraphs with infinitely many extremal constructions
Hypergraphs with infinitely many extremal constructions, Discrete Analysis 2023:18, 34 pp. A fundamental result in extremal graph theory, Turán's theorem, states that the maximal number of edges of a graph with $n$ vertices that does not contain a ...
Jianfeng Hou +4 more
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