Dr Stelios Georgiou

Position

Senior Lecturer

School /
Work Unit

Math & Geospatial Sciences

Contact Details

+61 3 9925 3158

stelios.georgiou@rmit.edu.au

Location

Building: 8
Level: 9
Room: 74

City Campus

College/Portfolio

Science, Engineering & Health

Georgiou Stelios

Qualifications

  • BSc in Mathematics
  • MSc in Numerical and Applied Analysis
  • PhD in Mathematics (Combinatorics and Statistics)

Research interests

Statistical Experimental Designs, Optimal Designs, Factorial Designs, Orthogonal Arrays, Saturated and Supersaturated Designs, Weighing Designs, Latin Hypercube Designs, Computer Experiments, Response Surface Methodology. Biostatistics. Data Analysis. Combinatorial Designs, Difference Sets, Sequences with Zero Autocorrelation, Orthogonal Matrices and Designs. Information and Coding Theory, Self-orthogonal codes, Self-dual codes. Cryptography.

Teaching

Semester 1

  • MATH2123: Mathematics and Statistics (Undergraduate course)

Semester 2:

  • MATH1302: Designs and analysis of Experiments (Postgraduate course)
  • MATH1317: Stochastic Processes and Applications (Postgraduate course)
  • MATH2170: Statistics and Epidemiology (Undergraduate course)

Reviewer

  • Biometrika
  • Statistica Sinica
  • Discrete Mahematics
  • Journal of Statistical Theory and Practice
  • The Australasian Journal of Combinatorics
  • Journal of Statistical Planning and Inference
  • Designs, Codes and Cryptography
  • Computational Statistics and Data Analysis
  • Global Journal of Pure and Applied Mathematics
  • Metrika
  • IEEE Transactions on Information Theory
  • Journal of Complexity
  • Information Processing Letters

Memberships

  • ASA (The American Statistical Association)
  • ICA - Fellow (The Institute of Combinatorics and its Applications)
  • ISI (International Statistical Institute)
  • IEEE – IT&CS (The Institute of Electrical and Electronic Engineers - Information Theory Society & Communications Society)

Publications

Journals

  • S.D. Georgiou, S. Stylianou, K. Drosou, and C. Koukouvinos, Construction of orthogonal and nearly orthogonal designs for computer experiments, Biometrika, 101 (2014), 741–747
  • S.D. Georgiou, S. Stylianou, and M. Aggarwal, Efficient three-level screening designs using weighing matrices, Statistics, 48 (2014), 815-833.
  • S.D. Georgiou and I. Efthimiou, Some classes of orthogonal Latin hypercube designs, Statistica Sinica, 24 (2014), 101–120.
  • S.D. Georgiou, Supersaturated designs: A review of their construction and analysis, J. Statist. Plann. Inference, 144 (2014), 92-109.
  • S.D. Georgiou, S. Stylianou, and M. Aggarwal, A new class of composite designs for response surface methodology, Computational Statistics and Data Analysis, 71 (2014), 1124-1133.
  • L. Bantis, J. Tsimikas, and S.D. Georgiou, Smooth ROC Curves and Surfaces for Markers Subject to a Limit of Detection Using Monotone Natural Cubic Splines, Biometrical Journal, 55 (2013), 719–740.
  • S. Georgiou and C. Koukouvinos, A Discrete Fourier Transform approach searching for compatible sequences and optimal designs, Informatica, 36 (2012), 425-429.
  • L. Bantis, J. Tsimikas, and S.D. Georgiou, Survival Estimation through the Cumulative Hazard Function with Monotone Natural Cubic Splines, Lifetime Data Analysis, 18 (2012), 364-396.
  • S.D. Georgiou and E. Lappas, Self-dual codes from circulant matrices, Designs, Codes and Cryptography, 64 (2012), 129-141.
  • J. Tsimikas, L. Bantis, and S.D. Georgiou, Inference in Generalized Linear Models with a Censored Covariate, Computational Statistics and Data Analysis, 56 (2012), 1854-1868.
  • S.D. Georgiou and S. Stylianou, Block-circulant matrices for constructing optimal Latin hypercube designs, J. Statist. Plann. Inference, 141 (2011), 1933-1943. A corrigendum for this paper is given in J. Statist. Plann. Inference, 142 (2012), 1623-1623
  • G. Frantzeskou, S.G. MacDonell, E. Stamatatos, S. Georgiou, and S. Gritzalis, The significance of user-defined identifiers in Java source code authorship identification, Computer Systems Science and Engineering, 26 (2011), 139-148.
  • S.D. Georgiou, Orthogonal designs for computer experiments, J. Statist. Plann. Inference, 141 (2011), 1519-1525.
  • S.D. Georgiou, Signed differences for weighing designs, Sankhya Ser. B, 72 (2010), 107-121.
  • S.D. Georgiou, Orthogonal Latin hypercube designs from generalized orthogonal designs, J. Statist. Plann. Inference, 139 (2009) 1530-1540.
  • K.A. Pazalos, E.N. Loukis, and S. Georgiou, An Empirical Investigation of the Moderating Effects of BPR and TQM on ICT Business Value, Journal of Enterprise Information Management, 22 (2009), 564-586.
  • S.D. Georgiou, Danel Draguljić, and A. Dean, An overview of two-level supersaturated designs with cyclic structure, Journal of Statistical Theory and Practice, 3 (2009), 489-504.
  • K.A. Pazalos, E.N. Loukis, and S.D. Georgiou, Evaluating e-courses based on value flow models estimation, International Journal of Applied Systemic Studies, 2 (2009), 376-394 (ECIS 2007 Proceedings, Paper 175).
  • S.D. Georgiou, Modelling by supersaturated designs, Computational Statistics and Data analysis, 53 (2008), 428-435.
  • S.D. Georgiou, On the construction of E(s2) -optimal supersaturated designs, Metrika, 69 (2008), 189-198.
  • S. Georgiou and C. Koukouvinos, Amicable sets of matrices and their applications in constructing orthogonal designs and self-dual codes, Utilitas Mathematica, 73 (2007), 65-79.
  • S. Georgiou, C. Koukouvinos, and E. Lappas, Self-dual codes over some prime fields constructed from skew-Hadamard matrices, J. Discrete Math. Sci. Cryptogr., 10 (2007), 255-266.
  • S. Georgiou, C. Koukouvinos, and C. Kotsireas, Inequivalent Hadamard matrices of order 2nconstructed from Hadamard matrices of order n, J. Combin. Math. Combin. Comput., 63 (2007), 65-79.
  • S. Georgiou and C. Kravvaritis, New good quasi-cyclic codes over GF(3), Int. Journal of Algebra, 1 (2007), 11-24.
  • S. Georgiou, New two-variable full orthogonal designs and related experiments with linear regression models, Statistics and Probability Letters, 77 (2007), 25-31.
  • S. Georgiou, W. H. Holzmann, H. Kharaghani and B. Tayfeh-Rezaie, Three variable full orthogonal designs of order 56, J. Statist. Plann. Inference, 137 (2007), 611-618.
  • S. Georgiou and C. Koukouvinos, Multi-level k-circulant supersaturated designs, Metrika, 64 (2006), 209-220.
  • S. Georgiou, C. Koukouvinos and P. Mantas, A new construction method for two level E(s2) -optimal supersaturated designs, Journal of Statistical Theory and Applications, 4 (2006), 403-415.
  • S. Georgiou, C. Koukouvinos and E. Lappas, Extremal doubly-even self-dual codes from Hadamard matrices, J. Discrete Math. Sci. Cryptogr., 9 (2006), 331-339.
  • S. Georgiou, C. Koukouvinos, and P. Mantas, Multi-level supersaturated designs based on error-correcting codes, Utilitas Mathematica, 71 (2006), 65-82.
  • R. Craigen, S. Georgiou, W. Gibson, and C. Koukouvinos, Further exploration into ternary complementary pairs, J. Combin. Theory Ser. A, 113 (2006), 952-965.
  • S. Georgiou, C. Koukouvinos, and P. Mantas, On multi-level supersaturated designs, J. Statist. Plann. Inference, 136 (2006), 2805-2819.
  • S. Georgiou and C. Koukouvinos, Some results on orthogonal designs and Hadamard matrices, Int. J. Applied Math., 17 (2005), 433-443.
  • S. Georgiou and C. Koukouvinos, Combinatorial designs and codes over some prime fields, J. Statist. Plann. Inference, 135 (2005), 93-106.
  • S. Georgiou and C. Koukouvinos, New visual cryptographic schemes derived from orthogonal and mixed orthogonal arrays, J. Discrete Math. Sci Cryptogr., 7 (2004), 291-306.
  • S. Georgiou, C. Koukouvinos, and S. Stylianou, New skew Hadamard matrices and their application in edge designs, Utilitas Mathematica, 66 (2004), 121-136.
  • S. Georgiou, C. Koukouvinos, and E. Lappas, Infinite classes of conference key distribution systems constructed from difference families, J. Combin. Math. Combin. Comput., 51 (2004), 113-125.
  • S. Georgiou, C. Koukouvinos, and S. Stylianou, Construction of new skew Hadamard matrices and their use in screening experiments, Computational Statistics and Data Analysis, 45 (2004), 423-429.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, Generalized orthogonal designs, Ars Combinatoria, 71 (2004), 33-47.
  • S. Georgiou and C. Koukouvinos, Self-dual codes over Fp and orthogonal designs, J. Combin. Math. Combin. Comput., 50 (2004), 159-177.
  • S. Georgiou, and C. Koukouvinos, Self-orthogonal and self-dual codes constructed via combinatorial designs and Diophantine equations, Designs, Codes and Cryptography, 32 (2004), 193-206.
  • H. Evangelaras, S. Georgiou, and C. Koukouvinos, Evaluation of inequivalent projections of Hadamard matrices of order 24, Metrika, 59 (2004), 51-73.
  • S. Georgiou and C. Koukouvinos, On inequivalent Hadamard matrices of order 44, Ars Combinatoria, 70 (2004), 169-181.
  • S. Georgiou and C. Koukouvinos, On inequivalent Hadamard matrices of order 36, Ars Combinatoria, 70 (2004), 19-31.
  • S. Georgiou and C. Koukouvinos, On equivalence of Hadamard matrices and projection properties, Ars Combinatoria, 69 (2003), 79-95.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, Some results on Kharaghani type orthogonal designs, Utilitas Mathematica, 63 (2003), 43-53. S. Georgiou, C. Koukouvinos, and J. Seberry, Some results on self-orthogonal and self-dual codes, Ars Combinatoria, 68 (2003), 97-104.
  • S. Georgiou, C. Koukouvinos, and P. Mantas, Construction methods for three level supersaturated designs based on weighing matrices, Statistics and Probability Letters, 63 (2003), 339-352.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, On full orthogonal designs in order 72, J. Combin. Math. Combin. Comput., 44 (2003), 11-21.
  • H. Evangelaras, S. Georgiou, and C. Koukouvinos, Inequivalent projections of Hadamard matrices of orders 16 and 20, Metrika, 57 (2003), 29-35.
  • K. Betsumiya, S. Georgiou, T.A. Gulliver, M. Harada, and C. Koukouvinos, On self-dual codes over some prime fields, Discrete Mathematics, 262 (2003), 37-58.
  • S. Georgiou and C. Koukouvinos, Self-dual codes over Z4 and unimodular lattices using orthogonal designs, Utilitas Mathematica, 62 (2002), 83-93.
  • S. Georgiou and C. Koukouvinos, New infinite classes of orthogonal designs, Linear and Multilinear Algebra, 50 (2002), 293-300.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, On full orthogonal designs in order 56, Ars Combinatoria, 65 (2002), 79-89.
  • S. Georgiou and C. Koukouvinos, MDS self-dual codes over large prime fields, Finite Fields and Their Applications, 8 (2002), 455-470.
  • S. Georgiou, C. Koukouvinos, and S. Stylianou, On good matrices, skew Hadamard matrices and optimal designs, Computational Statistics and Data Analysis, 41 (2002), 171-184.
  • H. Evangelaras, S. Georgiou, and C. Koukouvinos, New orthogonal designs of order 56, Journal of Combinatorial Designs, 10 (2002), 387-393.
  • S. Georgiou and C. Koukouvinos, New infinite classes of weighing matrices, Sankhya, Ser. B, 64 (2002), 26-36.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, Short amicable sets, Int. J. Applied Math., 9 (2002), 161-187.
  • S. Georgiou and C. Koukouvinos, On generalized Legendre pairs and multipliers of the corresponding supplementary difference sets, Utilitas Mathematica, 61 (2002), 47-63.
  • S. Georgiou and C. Koukouvinos, On circulant G-matrices, J. Combin. Math. Combin. Comput., 40 (2002), 205-225.
  • S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, Necessary and sufficient conditions for three and four variable orthogonal designs in order 36, J. Statist. Plann. Inference, 106 (2002), 329-352.
  • S. Georgiou, M. Harada, and C. Koukouvinos, Orthogonal designs and type II codes over Z2k, Designs, Codes and Cryptography, 25 (2002), 163-174.
  • S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, A new algorithm for computer searches for orthogonal designs, J. Combin. Math. Combin. Comput., 39 (2001), 49-63.
  • S. Georgiou and C. Koukouvinos, Self-dual codes over GF(7) and orthogonal designs, Utilitas Mathematica, 60 (2001), 79-89.
  • S. Georgiou, C. Koukouvinos, and J. Seberry, On circulant best matrices and their applications, Linear and Multilinear Algebra, 48 (2001), 263-274.
  • S. Georgiou and C. Koukouvinos, On sequences with zero autocorrelation and orthogonal designs, J. Combin. Theory Ser. A, 94 (2001), 15-33.
  • S. Georgiou and C. Koukouvinos, On amicable set of matrices and orthogonal designs, Int. J. Applied Math., 4 (2000), 211-224.
  • S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, Necessary and sufficient conditions for two variable orthogonal designs in order 44: Addendum, J. Combin. Math. Combin. Comput., 34 (2000), 59-64.
  • S. Georgiou and C. Koukouvinos, On multipliers of supplementary difference sets and D-optimal designs for n _ 2mod4, Utilitas Mathematica, 56 (1999), 127-136.