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Dr Ziyang Lyu

Dr Ziyang Lyu

Lecturer
Science
School of Mathematics & Statistics

Dr. Ziyang Lyu is a Lecturer (assistant professor) and DECRA fellow in Statistics at the School of Mathematics and Statistics. Before that, he completed his Ph.D. in Statistics at the Australian National University in 2020. He worked as a Postdoctoral Research Fellow at the University of Queensland from 2020 to 2021 and at the University of New South Wales from 2021 to 2024.

His research focuses on asymptotic analysis, Ìýmixed models with particular emphasis on crossed random effects, Ìýand finite Gaussian mixture models. He is also deeply interested in machine learning and pattern recognition, especially semi-supervised learning, approached from a statistical perspective.

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I am always looking for self-motivated students with a strong background in mathematics. If you are interested in working with me, please email me your CV, academic transcripts, and any research papers you have authored (or a research proposal/research statement). Scholarships are available for qualified PhD students.
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E-mail
ziyang.lyu@unsw.edu.au
Location
91É«ÇéƬ Sydney NSW 2052, AUSTRALIA
  • Journal articles | 2026
    Jinyang L; Lyu Z, 2026, 'Semi-Supervised Mixture Models under the Concept of Missing at Radom with Margin Confidence and Aranda Ordaz Function', arXiv,
    Journal articles | 2026
    Lyu Z, 2026, 'Semi-Supervised Mixture Models under the Concept of Missing at Radom with Margin Confidence and Aranda Ordaz Function', arXiv,
    Journal articles | 2025
    Lyu Z; Sisson S; Welsh AH, 2025, 'Asymptotics for EBLUPs within crossed mixed effect models', Submitted to Journal of the American Statistical Association,
    Journal articles | 2025
    Lyu Z; Sisson SA; Welsh AH, 2025, 'On the inverse of covariance matrices for unbalanced crossed designs', Submitted to Annals of Statistics,
    Journal articles | 2025
    Lyu Z; Sisson SA; Welsh AH, 2025, 'On the inverse of covariance matrices for unbalanced crossed designs', Submitted to Biometrika
    Journal articles | 2025
    Lyu Z; Welsh AH, 2025, 'Small Area Estimation using EBLUPs under the Nested Error Regression Model', Statistica Sinica, 35, pp. 1277 - 1299,
    Journal articles | 2024
    Lyu Z; Ahfock D; Thompson R; McLachlan GJ, 2024, 'gmmsslm: Semi-supervised Gaussian mixture modeling with a missing data mechanism in R', Australian and New Zealand Journal of Statistics,
    Journal articles | 2024
    Lyu Z; Sisson S; Welsh AH, 2024, 'Increasing Dimension Asymptotics for Two-Way Crossed Mixed Effect Models', Annals of Statistics, 52, pp. 2956 - 2978,
    Journal articles | 2023
    Lyu Z; Poynton S; Sisson S, 2023, 'The impact of changes to liquor licensing policy on violent crime in NSW, 2000-2019', Crime and Justice Bulletin, NO.263,
    Journal articles | 2023
    Lyu Z, 2023, 'Analysis of estimating the Bayes rule for Gaussian mixture models with a specified missing-data mechanism', Computational Statistics,
    Journal articles | 2022
    Lyu Z; Welsh AH, 2022, 'Asymptotics for EBLUPs: Nested Error Regression Models', Journal of the American Statistical Association, 117, pp. 2028 - 2042,
    Journal articles | 2022
    Lyu Z; Welsh AH, 2022, 'Increasing cluster size asymptotics for nested error regression models', Journal of Statistical Planning and Inference, 217, pp. 52 - 68,
    Journal articles | 2018
    Lyu Z; Peng K; Hu C-P, 2018, 'P-Value, Confidence Intervals, and Statistical Inference: A New Dataset of Misinterpretation', FRONTIERS IN PSYCHOLOGY, 9,
  • Working Papers | 2024
    Lyu Z; Sisson S; Welsh AH, 2024, Increasing Dimension Asymptotics for Two-Way Crossed Mixed Effect Models, ,
    Working Papers | 2022
    2022, Small Area Estimation using EBLUPs under the Nested Error Regression Model,
    Working Papers | 2022
    2022, Some Simulation and Empirical Results for Semi-Supervised Learning of the Bayes Rule of Allocation, ,
  • Preprints | 2026
    Jinyang L; Lyu Z, 2026, Semi-Supervised Mixture Models under the Concept of Missing at Radom with Margin Confidence and Aranda Ordaz Function,
    Preprints | 2025
    Lyu Z; Sisson SA; Welsh AH, 2025, On the inverse of covariance matrices for unbalanced crossed designs,
    Preprints | 2024
    Lyu Z; Sisson SA; Welsh AH, 2024, Increasing dimension asymptotics for two-way crossed mixed effect models,
    Preprints | 2024
    Lyu Z; Sisson SA; Welsh AH, 2024, Increasing dimension asymptotics for two-way crossed mixed effect models, ,
    Preprints | 2023
    Lyu Z; Ahfock D; Thompson R; McLachlan GJ, 2023, Semi-supervised Gaussian mixture modelling with a missing-data mechanism in R, ,
    Preprints | 2022
    Lyu Z; Ahfock D; McLachlan GJ, 2022, Some Simulation and Empirical Results for Semi-Supervised Learning of the Bayes Rule of Allocation,
    Preprints | 2022
    Lyu Z; Welsh AH, 2022, Small Area Estimation using EBLUPs under the Nested Error Regression Model,
    Preprints | 2021
    Lyu Z; Welsh AH, 2021, Increasing Cluster Size Asymptotics for Nested Error Regression Models,

  1. 2025-2026ÌýInvolved (CI) in the project 'Revolutionary AI-Enabled Modular Power Portal System for Urban Clean Energy Distribution',ÌýTRaCE Lab to Market fund, Australia,Ìý4,191,250 AUD
  2. 2026-2029 Involved (Lead CI) in the project 'Advanced statistical methods for complex longitudinal data ', Australian Research Council Discovery Early Career Researcher Award (DECRA)​​​​​​, 480,678 AUD​

My Research Supervision

1. Zhanzhongyu Gao (PhD student)

2. Chen Liang (PhD student)

3. Hao Shi (PhD student)

4. Jinyang Liao (Master student)

My Teaching

2026:

MATH2871-Data Management for Statistical AnalysisÌý(Course Convener)

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2025:

MATH2871-Data Management for Statistical AnalysisÌý(Course Convener)

MATH5846-Introduction to Probability and Stochastic ProcessesÌýÌý(Course Convener)

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2024:

MATH5856- Introduction to Statistics and Statistical Computations (Course Convener)

MATH5806-Applied Regression Analysis(Course Convener)