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Dr Ziyang Lyu

Dr Ziyang Lyu

Lecturer
Science
School of Mathematics & Statistics

Dr. Ziyang Lyu is a Lecturer (tenure track assistant professor) 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, mixed models—particularly with crossed random effects, small area estimations, and finite Gaussian mixture models. He also has a keen interest in statistical methodology for extreme value theory and machine learning, with a focus on semi-supervised learning for pattern recognition.Ìý

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E-mail
ziyang.lyu@unsw.edu.au
Location
School of Mathematics and Statistics Â鶹Éçmadou Sydney NSW 2052, AUSTRALIA The Red Centre Room 1050
  • 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; Welsh AH, 2023, 'Small Area Estimation using EBLUPs under the Nested Error Regression Model', Statistica Sinica,
    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 | 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,

My Research Supervision

If you're interested in pursuing a PhD or MPhil at Â鶹Éçmadou under my supervision and meet the eligibility criteria for any of the scholarships listedÌý, please feel free to contact me:)

My Teaching

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)