Results 21 to 30 of about 475,253 (253)
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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Eta-diagonal distributions and infinite divisibility for R-diagonals [PDF]
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
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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Free infinite divisibility for powers of random variables [PDF]
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]
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]
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]
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
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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