Xiaomi Hu PhD, Dr.

Overview

Xiaomi Hu is a Professor of Statistics. He obtained his Ph.D. from the Department of Statistics at the University of Missouri-Columbia in 1993. After graduation, he assumed a Visiting Assistant Professor position in the Department of Statistics at the University of South Carolina. He was hired by Wichita State University as a tenure-track Assistant Professor in 1994.

Xiaomi Hu’s early research interests lie in order restricted inference and related computation algorithms. He extended the inference to closed convex cone constraint settings, and established the unbiasedness of the LRT, which was conjectured by researchers.

He worked on the quality parameters used in aviation composite material industry namely A-basis and B-basis at the National Center for Advanced Material Performance during the summers 2005-2012. Several theses of his Master students are on such topics.

His recent interests lie in multivariate order and multivariate order restrictions. He proposed a Pseudo RMLE under simple ordering restrictions and created an algorithm that makes use of the projections onto order generating cone in the computations for the projection onto order restricted cones.

Academic Interests and Expertise

• Multivariate Order and Multivariate Order Constraints
• Matrix Theory and Linear Models
• Statistical Computation and Algorithms

Areas of Teaching Interest

• Inference Theory and Multivariate Analysis
• Matrix Theory and Linear Models
• Order Restricted Statistical Inference

Publications

• Xiaomi Hu & Yufei Wang (2020), Stochastic monotonicity of a distribution family associated with matrix projections and its application, Communications in Statistics – Theory and Methods, online on Aug 5, 2020 at https://doi.org/10.1080/03610926.2020.1801734.
• Xiaomi Hu (2020), A pseudo restricted MLE under multivariate order restrictions and its algorithm, Communications in Statistics – Theory and Methods, 49 (1) 169-177.
• Mustafa Hamdan & Xiaomi Hu (2019), Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions, Statistics and Probability Letters, 148 59-65.
• Xiaomi Hu (2016), On an ad hoc test for order restricted multivariate normal means, Communications in Statistics-Theory and Methods, 45 (5) 1501-1507.
• Xiaomi Hu and Arijit Banerjee (2012), On the test for the homogeneity of a parameter matrix with some rows constrained by synchronized order restrictions, the Journal of Multivariate Analysis, 107 64-70.
• Xiaomi Hu, Jurgen Hansohm, Linda Hoffmann and Ye Emma Zohner (2012), On convergence of row-modification algorithm for matrix projections, The Journal of Multivariate Analysis, 105 216-221.
• Jurgen Hansohm and Xiaomi Hu (2012), A convergent algorithm for a generalized multivariate isotonic regression problem, Statistical Papers, 53 107-115.
• Xiaomi Hu (2009), p-values of a test on homogeneous means in a multivariate isotonic regression, Statistics and Probability Letters, 79 (19) 2005-2011.
• Xiaomi Hu and Jurgen Hansohm (2008), Merge and chop in the computation for isotonic regressions, Journal of Statistical Planning and inference, 138 (10) 3099-3106.
• Xiaomi Hu (2008), A three-condition characterization of the Moore-Penrose generalized inverse, The American Statistician, 62 (3) 216-218.
• Xiaomi Hu (2007), Asymptotical distributions, parameters and coverage probabilities of tolerance limits, Computational Statistics and Data Analysis, 51 (9) 4753-4760.
• Xiaomi Hu (2007), Multivariate analysis without vec and, The American Statistician, 61 (1) 64-66.
• Xiaomi Hu (2006), Unbiasedness on rays of the tests of locations of homogeneous means in isotonic regression, Statistics and Probability Letters, 76 (10) 976-980.
• Xiaomi Hu (2006), Approximation of partial distribution in renewal function calculation, Computational Statistics and Data Analysis, 50 (6), 1615-1624.
• Xiaomi Hu and Hari Mukerjee (2002), Constructing all extremes of contingency tables with given marginals, Journal of Computational and Graphical statistics, 11 (4) 910-919.
• Xiaomi Hu, Subhash C. Kochar, Hari Mukerjee and Francisco J. Samaniego (2002), Estimation of two ordered mean residual life functions, The Journal of Statistical Planning and Inference, 107 (1-2), 321-341.
• Xiaomi Hu (2000), Tests for monotonic intensity in a Poisson process, Australian and New Zealand Journal of Statistics, 42 (3), 359-365.
• Xiaomi Hu (1999), Application of the limit of truncated isotonic regression in optimization subject to isotonic and bounding constraints, Journal of Multivariate Analysis, 71 56-66.
• Xiaomi Hu (1998), An exact algorithm for projection onto a polyhedral cone, Australian and New Zealand Journal of Statistics, 40 (2), 165-170.
• Xiaomi Hu (1997), Maximum-likelihood estimation under bound restriction and order and uniform bound restrictions, Statistics and Probability Letters, 35 (2) 165-171.
• Xiaomi Hu (1995), A note on the symmetry of normal mean hypotheses and its implications, Statistics and Probability Letters, 25 (1) 15-20.
• Xiaomi Hu and Farroll T. Wright (1994), Monotonicity properties of the power functions of likelihood ratio tests for normal mean hypotheses constrained by a linear space and a cone, The Annals of Statistics, 22 (3) 1547-1554.
• Xiaomi Hu and Farroll T. Wright (1994), Likelihood ratio tests for a class of non-oblique hypotheses, The Annals of The Institute of Statistical Mathematics, 46 (1) 137-145.
• Xiaomi Hu (1987), B-generating class of ring and the extension of measure on it, Journal of Jiangxi Polytechnic University, No 1, 1987
• Xiaomi Hu (1986), Splitting of Linear Model, Journal of Jiangxi Polytechnic University, No 2, 1986
• Xiaomi Hu (1985), Non-normal equations representing least square solutions, Journal of Jiangxi Polytechnic University, No 3, 1985