Results 21 to 30 of about 475,253 (253)

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

Eta-diagonal distributions and infinite divisibility for R-diagonals [PDF]

open access: yes, 2016
The class of R-diagonal *-distributions is fairly well understood in free probability. In this class, we consider the concept of infinite divisibility with respect to the operation $\boxplus$ of free additive convolution.
H. Bercovici   +3 more
semanticscholar   +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

Free infinite divisibility for powers of random variables [PDF]

open access: yes, 2015
We prove that $X^r$ follows a free regular distribution, i.e. the law of a nonnegative free L\'evy process if: (1) $X$ follows a free Poisson distribution without an atom at 0 and $r\in(-\infty,0]\cup[1,\infty)$; (2) $X$ follows a free Poisson ...
Takahiro Hasebe
semanticscholar   +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

Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide [PDF]

open access: yes, 2018
We investigate the open dynamics of a qubit due to scattering of a single photon in an infinite or semi-infinite waveguide. Through an exact solution of the time-dependent multi-photon scattering problem, we find the qubit's dynamical map.
Baranger, Harold U.   +2 more
core   +2 more sources

Weak Lévy-Khintchine representation for weak infinite divisibility [PDF]

open access: yes, 2014
A random vector ${\bf X}$ is weakly stable if and only if for all $a,b \in {\mathbb R}$ there exists a random variable $\Theta$ such that $a{\bf X} + b {\bf X}' \stackrel{d}{=} {\bf X} \Theta$, where ${\bf X}'$ is an independent copy of ${\bf X}$ and ...
B. Jasiulis-Gołdyn, J. Misiewicz
semanticscholar   +1 more source

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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