Zhiyi Zhang

Professor of Mathematics and Statistics
University of North Carolina at Charlotte

Contact Information

Fretwell 340G
Department of Mathematics and Statistics
University of North Carolina at Charlotte
Charlotte, NC 28223
Tel: (704) 687-4549
Fax: (704) 687-6415
Email: zzhang@uncc.edu

General Information

Research Interests

  • Theory

    • Turing's Formula
    • Nonparametric Entropy Estimation
    • Nonparametric Estimation of Tail Probability
    • Simpson's Diversity Indices
    • Capture and Re-capture Problems
  • Application

    • Environmental Statistics: Storm and Watershed Modeling
    • Environmental Statistics: Evaluation of RDII Rehabilitation
    • Risk Statistics: Assessment of Probabilities of Extremely Rare Events
    • General Statistical Consulting

Selected Recent Papers

  • Asymptotic normality of an entropy estimator with exponentially decaying bias, IEEE Transactions on Information Theory, to appear, 2012. pdf
  • A multivariate normal law for Turing's formulae, Sankhya, to appear, 2012. pdf
  • A normal law for the plug-in estimator of entropy, with X. Zhang, IEEE Transactions on Information Theory, Vol. 58, No. 5, pp. 2745-2747, 2012. pdf
  • Entropy estimation in Turing's perspective, Neural Computation, Vol. 24, No. 5, pp. 1368-1389, 2012. pdf
  • Re-parameterization of multinomial distribution and diversity indices, with J. Zhou, Journal of Statistical Planning and Inference, Vol. 140, No. 7, pp. 1731-1738, 2010. pdf
  • Asymptotic normality of a nonparametric estimator of sample coverage, with C.-H. Zhang, Annals of Statistics, Vol. 37, No. 5A, pp. 2582-2595, 2009. pdf
  • A sufficient normality condition for Turing's formula, with H. Huang, Journal of Nonparametric Statistics, Vol. 20, No. 5, pp. 431-446, 2008. pdf
  • Turing's formula revisited, with H. Huang, Journal of Quantitative Linguistics, Vol. 4, No. 2, pp. 222-241, 2007. pdf
  • A nonlinear extrapolation of inflow and infiltrfation behavior under heavy storms, Journal of Hydrologic Engineering, ASCE, Vol. 13, No. 12, pp. 1125-1132, 2008. pdf
  • Estimating rain derived inflow and infiltration for rainfalls of varying characteristics, Journal of Hydraulic Engineering, ASCE, Vol. 133, No. 1, pp. 89-105, 2007. pdf
  • Flow data, inflow/infiltration ratio and autoregressive error models, Journal of Environmental Engineering, ASCE, Vol. 131, No. 3, pp. 343-349, 2005. pdf


  • Confidence Intervals for Simpson's Diversity Index, Unpublished tutorial material, UNCC, 2012. pdf


  • Introductory Statistics, with D.S. Shafer, Flat World Knowledge, Irvington, New York, 2012. eISBN 978-1-4533-4487-3.
  • (to come)


  • Program for Mutual Information
  • Link

UNC Charlotte Math & Stat Department Home Page

UNC Charlotte Homepage

Last updated January 2012 by
Z. Zhang zzhang@uncc.edu