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Prognostic value of 1D, 2D, and volumetric tumor size increases in recurrent WHO grade 2 and 3 meningiomas: Radiological post-hoc analysis of the EORTC-BTG-1320 trial. [PDF]

Neurooncol Adv
Furtner J, Berchtold L, Le Rhun E, Silvani A, Rudà R, Lombardi G, Sepúlveda-Sánchez JM, Brandal P, Bendszus M, Golfinopoulos V, Gorlia T, Sahm F, Wick W, Minniti G, Weller M, König F, Preusser M.   +16 more
europepmc   +1 more source

Wick products of complex valued random variables

, 1995
Benth, Fred Espen, Øksendal, Bernt, Ubøe, Jan, Zhang, Tusheng   +3 more
openaire   +1 more source

Wick Product and Backward Heat Equation

Mediterranean Journal of Mathematics, 2005
In the present paper the Wick version of analytic functions with respect to a one dimensional Brownian motion is shown to be closely related to the backward heat equation. This fact provides representation theorems for a certain class of random variables in terms of Wick powers.
LANCONELLI, ALBERTO, LANCONELLI A
core   +6 more sources

Some Norm Inequalities for Gaussian Wick Products

Stochastic Analysis and Applications, 2010
We provide several inequalities for the ℒ q (𝒫)-norm of the Wick product of random variables. These estimates are based on a Jensen's type inequality for the Wick multiplication, which we derive via a positivity argument. As an application we study a certain type of anticipating stochastic differential equation whose solution is shown to be an ...
LANCONELLI A, STAN A
core   +6 more sources

Translated Brownian Motions and Associated Wick Products

Stochastic Analysis and Applications, 2006
The concept of Wick product is strongly related to the underlying Brownian motion we have fixed on the probability space. Via the Girsanov's theorem we construct a family of new Brownian motions, obtained as translations of the original one, and to each of them we associate a Wick product. This produces a family of Wick products, named γ-Wick products,
LANCONELLI, ALBERTO, LANCONELLI A
core   +6 more sources

A note on Gamma Wick products

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2018
An integral representation of the Wick product for Gamma distributed random variables, with mean greater than [Formula: see text], is presented first. We use this integral representation to prove a Hölder inequality for norms of Gamma Wick products.
Catrina, Florin, Stan, Aurel I.
openaire   +2 more sources

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Contractivity of Gamma Wick products

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catrina, Florin, Stan, Aurel I.
openaire   +4 more sources

BEST CONSTANTS IN NORMS OF RETARDED WICK PRODUCTS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010
We find the best constant c(m, n, r), such that the inequality: [Formula: see text] holds for all polynomials f and g of degree at most m and n, respectively, where X is a normally distributed random vector, ⋄r denotes the r-retarded Wick product and ‖⋅‖ the L2-norm.
AUREL I. STAN
openaire   +2 more sources

Multiple Wick Product Chaos Processes

Journal of Theoretical Probability, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcus, Michael B., Rosen, Jay
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A HÖLDER INEQUALITY FOR NORMS OF POISSONIAN WICK PRODUCTS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
An understanding of the second quantization operator of a constant times the identity operator and the Poissonian Wick product, without using the orthogonal Charlier polynomials, is presented first. We use both understanding, with and without the Charlier polynomials, to prove some inequalities about the norms of Poissonian Wick products.
Lanconelli A, Stan A
openaire   +3 more sources