Results 11 to 20 of about 145 (61)

Higher-order expansions for distributions of extremes from general error distribution

open access: yesJournal of Inequalities and Applications, 2014
In this short note, with optimal normalizing constants, the higher-order expansion for a distribution of normalized partial maximum from the general error distribution is derived, by which one deduces the associate convergence rate of the distribution of
Pu Jia, Tingting Li
semanticscholar   +2 more sources

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

Nonparametric estimation of trend function for stochastic differential equations driven by a bifractional Brownian motion

open access: yesActa Universitatis Sapientiae: Mathematica, 2020
The main objective of this paper is to investigate the problem of estimating the trend function St = S(xt) for process satisfying stochastic differential equations of the type dXt=S(Xt)dt+εdBtH,K, X0=x0, 0≤t≤T,{\rm{d}}{{\rm{X}}_{\rm{t}}} = {\rm{S}}\left(
Keddi Abdelmalik   +2 more
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

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

Properties of Local Nondeterminism of Gaussian and Stable Random Fields and Their Applications

open access: yes, 2006
In this survey, we flrst review various forms of local nondeterminism and sectorial local nondeterminism of Gaussian and stable random flelds. Then we give su‐cient conditions for Gaussian random flelds with stationary increments to be strongly locally ...
Yimin Xiao
semanticscholar   +1 more source

A note on stability of SPDEs driven by α-stable noises

open access: yesAdvances in Differential Equations, 2014
In this paper, by the Minkovski inequality and the semigroup method we discuss the stability of mild solutions for a class of SPDEs driven by α-stable noise, and the methods are also generalized to deal with the stability of SPDEs driven by subordinated ...
Jiying Wang, Yulei Rao
semanticscholar   +2 more sources

On the distribution of Brownian areas

open access: yes, 1996
We nd the distribution of the areas under the positive parts of a Brownian motion process and a Brownian bridge process, and compare these distributions with the corresponding areas for the absolute values of these processes.
M. Perman, J. Wellner
semanticscholar   +1 more source

Infinite secret sharing – Examples

open access: yesJournal of Mathematical Cryptology, 2014
The motivation for extending secret sharing schemes to cases when either the set of players is infinite or the domain from which the secret and/or the shares are drawn is infinite or both, is similar to the case when switching to abstract probability ...
Dibert Alexander, Csirmaz László
doaj   +1 more source

Berry-Esséen bounds and almost sure CLT for quadratic variation of weighted fractional Brownian motion

open access: yesJournal of Inequalities and Applications, 2013
In this paper, using the recent results on Stein’s method combining with Malliavin calculus and the almost sure central limit theorem for sequences of functionals of general Gaussian fields developed by Nourdin and Peccati, we derive the explicit bounds ...
Guangjun Shen, Litan Yan, Jing Cui
semanticscholar   +1 more source

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