Mathematical Sciences: Stochastic Models and Visualization

伊利诺伊大学厄巴纳-香槟分校统计系将购买计算机设备，专门用于支持数学科学研究。 该设备将支持若干研究项目，特别包括随机曲线的校准，包括高维参数估计算法、自助预测和校准区域以及高维可视化;等级数据的多维分析，包括多维展开模型的图形，基于等级的方差分析中精确均值和方差的符号计算，和扩展的单变量排名为基础的非参数程序的多维度;潜在的特质建模的教育测试数据与应用程序测试公平性评估和测试维度分析，包括软件的发展一般分布;条件分位数的回归建模和曲线拟合方法，包括算法开发和用于选择曲线平滑度的动态图形。

The Department of Statistics at the University of Illinois, Urbana-Champaign, will purchase computing equipment which will be dedicated to the support of research in mathematical sciences. The equipment will support several research projects, including in particular calibration of random curves including algorithm for high-dimensional parameter estimation, bootstrap prediction and calibration regions, and high-dimensional visualization; multidimensional analysis of rank data including graphics for multidimensional unfolding models, symbolic computation of exact means and variances in rank-based analysis-of-variance, and extensions of univariate rank-based nonparametric procedures to multiple dimensions; latent trait modeling of educational test data with applications test fairness assessment and test dimensionality analysis, including the development of software for general distribution; regression modeling and curve fitting methods for conditional quantiles including algorithm development and dynamical graphics for selecting curve smoothness.