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Currently displaying 1 – 10 of 10

Order by Relevance | Title | Year of publication

$L^{1}$ -norm of infinitely divisible random vectors and certain stochastic integrals.

Marcus, Michael B.; Rosiński, Jan — 2001

Electronic Communications in Probability [electronic only]

Infinite divisibility of Gaussian squares with non-zero means.

Marcus, Michael B.; Rosen, Jay — 2008

Electronic Communications in Probability [electronic only]

Existence of a critical point for the infinite divisibility of squares of Gaussian vectors in $ℝ^{2}$ with non-zero mean.

Rosen, Jay S.; Marcus, Michael B. — 2009

Electronic Journal of Probability [electronic only]

Tail probability estimates for certain Rademacher sums

Michael B. Marcus — 1976

Colloquium Mathematicae

Random Fourier series on locally compact abelian groups

Michael B. Marcus; Gilles Pisier — 1979

Séminaire de probabilités de Strasbourg

Exact rates of convergence to the local times of symmetric Lévy processes

Michael B. Marcus; Jay S. Rosen — 1994

Séminaire de probabilités de Strasbourg

Laws of the iterated logarithm for intersections of random walks on Z4

Michael B. Marcus; Jay Rosen — 1997

Annales de l'I.H.P. Probabilités et statistiques

Laws of the iterated logarithm for the local times of recurrent random walks on Z2 and of Lévy processes and Random walks in the domain of attraction of Cauchy random variables

Michael B. Marcus; Jay Rosen — 1994

Annales de l'I.H.P. Probabilités et statistiques

Sufficient conditions for the continuity of stationary gaussian processes and applications to random series of functions

Naresh C. Jain; Michael B. Marcus — 1974

Annales de l'institut Fourier

Let ${X (t), t \in [0, 1]^{n}}$ be a stochastically continuous, separable, Gaussian process with $E [X (t + h) - X (t)]^{2} = σ^{2} (| h |)$ . A sufficient condition, in terms of the monotone rearrangement of $σ$ , is obtained for $X (t)$ to have continuous sample paths almost surely. This result is applied to a wide class of random series of functions, in particular, to random Fourier series.

Two results on continuity and boundedness of stochastic convolutions

Stanisław Kwapień; Michael B. Marcus; Jan Rosiński — 2006

Annales de l'I.H.P. Probabilités et statistiques

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