Web18 de mar. de 2024 · High-dimensional covariance matrix estimation plays a central role in multivariate statistical analysis. It is well-known that the sample covariance matrix is singular when the sample size is smaller than the dimension of the variable, but the covariance estimate must be positive-definite. This motivates some modifications of the sample … WebBy exploiting the variance decay property that is a natural feature in relevant applications, we are able to provide dimension-free and nearly parametric convergence rates for Gaussian approximation, bootstrap approximation, and the size of the test. We demonstrate the proposed approach with ANOVA problems for functional data and …
普林斯顿大学竺紫威博士:Distributed Statistical Learning ...
Web30 de set. de 2016 · Download a PDF of the paper titled Gaussian and bootstrap approximations for high-dimensional U-statistics and their applications, by Xiaohui Chen. ... A two-step Gaussian approximation procedure that does not impose structural assumptions on the data distribution is proposed. Web23 de jun. de 2024 · This paper considers a new bootstrap procedure to estimate the distribution of high-dimensional ℓ_p-statistics, i.e. the ℓ_p-norms of the sum of n independent d-dimensional random vectors with d ≫ n and p ∈ [1, ∞]. We provide a non-asymptotic characterization of the sampling distribution of ℓ_p-statistics based on … nordstrom tablecloth 70 x 70 square
Adapting prediction error estimates for biased complexity
WebWe have two real datasets for this study, one is for wheat, and another is maize data . Wheat lines were genotyped by Triticarte Pty. Ltd. (Canberra, Australia) using 1447 Diversity Array Technology. This data set includes 599 lines observed for trait grain yield (GY) for four mega environments. Web19 de mar. de 2024 · Through numerical simulations and a real data analysis, we demonstrate the usefulness of our bootstrap-based inference in several applications, … Webhigh dimensional systems. By data based or "parametric bootstrap" Monte Carlo simulations, we mean simulations where the Data Generating Process (DGP) uses the parame-ter values obtained from an estimation using actual data. We base our simulations on estimated parameter values in order to ascertain that our results are empirically … how to remove fruit stains from fabric