Gaussian Random Series on Metric Vector Spaces.
T. Byczkowski, T. Inglot (1987)
Mathematische Zeitschrift
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
T. Byczkowski, T. Inglot (1987)
Mathematische Zeitschrift
Similarity:
Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
Similarity:
Simon Foucart, Ming-Jun Lai (2010)
Studia Mathematica
Similarity:
For an m × N underdetermined system of linear equations with independent pre-Gaussian random coefficients satisfying simple moment conditions, it is proved that the s-sparse solutions of the system can be found by ℓ₁-minimization under the optimal condition m ≥ csln(eN/s). The main ingredient of the proof is a variation of a classical Restricted Isometry Property, where the inner norm becomes the ℓ₁-norm and the outer norm depends on probability distributions.
Saralees Nadarajah, B. M. Golam Kibria (2006)
Applicationes Mathematicae
Similarity:
Burr distributions are some of the most versatile distributions in statistics. In this paper, a drought application is described by deriving the exact distributions of U = XY and W = X/(X+Y) when X and Y are independent Burr XII random variables. Drought data from the State of Nebraska are used.
Rio Emmanuel (1997)
ESAIM: Probability and Statistics
Similarity:
Piotr Śniady (2006)
Banach Center Publications
Similarity:
We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix. We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the fraction k/√n. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner...
Jérôme Dedecker, Sana Louhichi (2010)
ESAIM: Probability and Statistics
Similarity:
We continue the investigation started in a previous paper, on weak convergence to infinitely divisible distributions with finite variance. In the present paper, we study this problem for some weakly dependent random variables, including in particular associated sequences. We obtain minimal conditions expressed in terms of individual random variables. As in the i.i.d. case, we describe the convergence to the Gaussian and the purely non-Gaussian parts of the infinitely divisible limit....
Krystyna Kędziora (1980)
Applicationes Mathematicae
Similarity:
Marek Bożejko, Hiroaki Yoshida (2006)
Banach Center Publications
Similarity:
We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.
Michael B. Marcus, Gilles Pisier (1979)
Séminaire de probabilités de Strasbourg
Similarity:
T. Byczkowski (1976)
Studia Mathematica
Similarity:
T. Byczkowski (1977)
Studia Mathematica
Similarity:
I. Kotlarski (1962)
Colloquium Mathematicae
Similarity:
Nadarajah, Saralees, Gupta, Arjun K. (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Nadarajah, Saralees (2005)
Journal of Applied Mathematics
Similarity:
Marcin Lis (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We continue the research of Latała on improving estimates of the pth moments of sums of independent random variables with logarithmically concave tails. We generalize some of his results in the case of 2 ≤ p ≤ 4 and present a combinatorial approach for even moments.