Results 31 to 40 of about 4,039 (94)
On Cauchy-Stieltjes Kernel Families [PDF]
, 2012 We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the pseudo-variance function of the initial Cauchy-Stieltjes family.
Bryc, Wlodek +2 more
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An extension of Hewitt's inversion formula and its application to fluctuation theory [PDF]
, 2015 We analyze fluctuations of random walks with generally distributed increments. Integral representations for key performance measures are obtained by extending an inversion theorem of Hewitt [11] for Laplace-Stieltjes transforms. Another important part of
Badila, E. S.
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Distributions of Functionals of the two Parameter Poisson-Dirichlet Process [PDF]
The present paper provides exact expressions for the probability distribution of linear functionals of the two–parameter Poisson–Dirichlet process. Distributional results that follow from the application of an inversion formula for a (generalized) Cauchy–
Antonio Lijoi +2 more
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The normal distribution is freely selfdecomposable
, 2017 The class of selfdecomposable distributions in free probability theory was introduced by Barndorff-Nielsen and the third named author. It constitutes a fairly large subclass of the freely infinitely divisible distributions, but so far specific examples ...
Hasebe, Takahiro +2 more
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The local structure of $q$-Gaussian processes
, 2016 The local structure of $q$-Ornstein-Uhlenbeck processes and $q$-Brownian motions are investigated, for all $q\in(-1,1)$. These are the classical Markov processes corresponding to the noncommutative $q$-Gaussian processes.
Bryc, Włodzimierz, Wang, Yizao
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The Cauchy Distribution in Information Theory. [PDF]
Entropy (Basel), 2023 Verdú S.
europepmc +1 more source
Heat kernels of the discrete Laguerre operators. [PDF]
Lett Math Phys, 2021 Kostenko A.
europepmc +1 more source
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs. [PDF]
Probab Theory Relat Fields, 2021 He Y, Knowles A.
europepmc +1 more source
Analysis of the limiting spectral measure of large random matrices of the separable covariance type
, 2015 Consider the random matrix $\Sigma = D^{1/2} X \widetilde D^{1/2}$ where $D$ and $\widetilde D$ are deterministic Hermitian nonnegative matrices with respective dimensions $N \times N$ and $n \times n$, and where $X$ is a random matrix with independent ...
Couillet, Romain, Hachem, Walid
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The Fourier-Laplace Transform-A Conjugate Link Between the Material Brain and the Conscious Mind. [PDF]
Front Hum Neurosci, 2021 Brändas EJ.
europepmc +1 more source