Results 51 to 60 of about 16,245 (243)
Stein's method on the second Wiener chaos : 2-Wasserstein distance [PDF]
In the first part of the paper we use a new Fourier technique to obtain a Stein characterizations for random variables in the second Wiener chaos. We provide the connection between this result and similar conclusions that can be derived using Malliavin ...
Arras, Benjamin +3 more
core +3 more sources
Fourth moment theorems on the Poisson space in any dimension
We extend to any dimension the quantitative fourth moment theorem on the Poisson setting, recently proved by C. D\"obler and G. Peccati (2017). In particular, by adapting the exchangeable pairs couplings construction introduced by I. Nourdin and G. Zheng
Döbler, Christian +2 more
core +1 more source
Objective To identify autoantibodies in presymptomatic individuals that associate with the onset of rheumatoid arthritis (RA), and to distinguish early RA from osteoarthritis (OA), particularly in individuals lacking classic RA serological markers. Methods We analyzed serum and plasma from three cohorts: pre‐symptomatic individuals who later developed ...
Outi Sareila +12 more
wiley +1 more source
RETRACTED: Learner emotions and performance in hypercasual VR games with adaptive AI difficulty
Abstract Hypercasual virtual reality games (HVRGs) are widely regarded as cost‐effective tools for rapid skill acquisition, yet the mechanisms that optimise their effectiveness and user acceptance remain insufficiently explored. This mixed‐methods empirical study investigates how playful emotions, characterised by engagement, enjoyment and anxiety ...
Zeeshan Ahmed, Faizan Ahmad, Chen Hui
wiley +1 more source
Density Formula in Malliavin Calculus by Using Stein’s Method and Diffusions
Let G be a random variable of functionals of an isonormal Gaussian process X defined on some probability space. Studies have been conducted to determine the exact form of the density function of the random variable G.
Hyun-Suk Park
doaj +1 more source
This paper provides an introduction to the Stein method framework in the context of steady-state diffusion approximations. The framework consists of three components: the Poisson equation and gradient bounds, generator coupling, and moment bounds ...
Anton Braverman, J. G. Dai, Jiekun Feng
doaj +1 more source
Convergence of densities of some functionals of Gaussian processes [PDF]
The aim of this paper is to establish the uniform convergence of the densities of a sequence of random variables, which are functionals of an underlying Gaussian process, to a normal density.
Hu, Yaozhong, Lu, Fei, Nualart, David
core
The central limit problem for random vectors with symmetries
Motivated by the central limit problem for convex bodies, we study normal approximation of linear functionals of high-dimensional random vectors with various types of symmetries. In particular, we obtain results for distributions which are coordinatewise
A. Koldobsky +29 more
core +1 more source
Abstract Beneath the Hong Kong government's enthusiasm for recruiting non‐local undergraduates—including students from the Chinese Mainland and other international regions—lies a longstanding gap in understanding the core meanings and drivers shaping the territory's expanding focus on inward international student mobility (ISM).
Fang Gao +3 more
wiley +1 more source
Stein's Method and Characters of Compact Lie Groups
Stein's method is used to study the trace of a random element from a compact Lie group or symmetric space. Central limit theorems are proved using very little information: character values on a single element and the decomposition of the square of the ...
A. Klyachko +18 more
core +2 more sources

