Results 11 to 20 of about 1,634 (85)

Convergence rate of extremes from Maxwell sample

open access: yesJournal of Inequalities and Applications, 2013
For the partial maximum from a sequence of independent and identically distributed random variables with Maxwell distribution, we establish the uniform convergence rate of its distribution to the extreme value distribution.MSC:62E20, 60E05, 60F15, 60G15.
Chuandi Liu, Baogen Liu
semanticscholar   +2 more sources

Rate of convergence of uniform transport processes to a Brownian sheet

open access: yesOpen Mathematics, 2020
We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes.
Rovira Carles
doaj   +1 more source

MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS

open access: yesForum of Mathematics, Pi, 2020
We determine the order of magnitude of $\mathbb{E}|\sum _{n\leqslant x}f(n)|^{2q}$, where $f(n)$ is a Steinhaus or Rademacher random multiplicative function, and $0\leqslant q\leqslant 1$.
ADAM J. HARPER
doaj   +1 more source

Necessary and Sufficient Conditions for H\"older Continuity of Gaussian Processes [PDF]

open access: yes, 2013
The continuity of Gaussian processes is extensively studied topic and it culminates in the Talagrand's notion of majorizing measures that gives complicated necessary and sufficient conditions.
Azmoodeh, Ehsan   +3 more
core   +2 more sources

The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)

open access: yesJournal of Function Spaces, Volume 3, Issue 2, Page 163-181, 2005., 2005
The paper treats time‐frequency analysis of scalar‐valued zero mean Gaussian stochastic processes on ℝd. We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of the process exist as finite variance stochastic Riemann integrals, each of which defines a stochastic
Patrik Wahlberg, Hans Feichtinger
wiley   +1 more source

On the linear fractional self-attracting diffusion [PDF]

open access: yes, 1998
In this paper, we introduce the linear fractional self-attracting diffusion driven by a fractional Brownian motion with Hurst index 1 ...
A Stephens   +19 more
core   +2 more sources

An extension of the Clark‐Ocone formula

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 28, Page 1463-1476, 2004., 2004
A white noise proof of the classical Clark‐Ocone formula is first provided. This formula is proven for functions in a Sobolev space which is a subset of the space of square‐integrable functions over a white noise space. Later, the formula is generalized to a larger class of operators.
Said Ngobi, Aurel Stan
wiley   +1 more source

Domination of sample maxima and related extremal dependence measures

open access: yesDependence Modeling, 2018
For a given d-dimensional distribution function (df) H we introduce the class of dependence measures μ(H, Q) = −E{n H(Z1, . . . , Zd)}, where the random vector (Z1, . . . , Zd) has df Q which has the same marginal dfs as H. If both H and Q are max-stable
Hashorva Enkelejd
doaj   +1 more source

Fredholm representation of multiparameter Gaussian processes with applications to equivalence in law and series expansions [PDF]

open access: yes, 2015
We show that every multiparameter Gaussian process with integrable variance function admits a Wiener integral representation of Fredholm type with respect to the Brownian sheet.
Sottinen, Tommi, Viitasaari, Lauri
core   +2 more sources

New formulas concerning Laplace transforms of quadratic forms for general Gaussian sequences

open access: yesInternational Journal of Stochastic Analysis, Volume 15, Issue 4, Page 309-325, 2002., 2002
Various methods to derive new formulas for the Laplace transforms of some quadratic forms of Gaussian sequences are discussed. In the general setting, an approach based on the resolution of an appropriate auxiliary filtering problem is developed; it leads to a formula in terms of the solutions of Volterra‐type recursions describing characteristics of ...
M. L. Kleptsyna, A. Le Breton, M. Viot
wiley   +1 more source

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