Results 11 to 20 of about 15,342 (189)

FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
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]

open access: yesJournal of Statistical Theory and Applications (JSTA), 2017
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

open access: yesMathematics, 2021
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
doaj   +1 more source

A product autoregressive model with log-Laplace marginal distribution

open access: yesStatistica, 2013
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
doaj   +1 more source

Three classes of decomposable distributions

open access: yesOpen Mathematics, 2020
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
doaj   +1 more source

On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws [PDF]

open access: yes, 2013
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

open access: yesDemonstratio Mathematica, 2016
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.
doaj   +1 more source

Two- and three-cocycles for Laver tables [PDF]

open access: yes, 2014
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
core   +4 more sources

Marshall-Olkin Generalized Asymmetric Laplace distributions and processes

open access: yesStatistica, 2013
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
doaj   +1 more source

Hypergraphs with infinitely many extremal constructions

open access: yesDiscrete Analysis, 2023
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
doaj   +1 more source

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