Refereed Publications

(with Duangdaw Sirisatien, Minqqiang Dong and P.C.H. Morel) "Two aspects of optimal diet determination for pig production: efficiency of solution and incorporation of cost variation", Journal of Global Optimization (to appear).

(with S. Gudlaugsdottir, D.R. Boswell and J.Ma) “Exon size distribution and the origins of introns", Genetica (to appear).

(with S. Turner) "Towards a 'start-to-finish' approach to the fitting of traffic accident models", Transportation Accident Analysis and Prevention (to appear).

(with Dorothy S.V. Wong and Frederick K. Wong) “A multi-stage approach to clustering and imputation of gene expression profiles", Bioinformatics 23(8)(2007) 998-1005.

(with Pauliina M. Uitto, Braddon K. Lance, Jamie Sherman, Mark S. Baker and Mark P. Molloy) “Quantitative proteomic techniques for profiling urokinase plasminogen activator signalling in ovarian cancer cells", Journal of Proteome Research, (2007) 6(6) 2105-12.

(with Charlotte M. Deane, Mingqiang Dong, Fabien P.E. Huard and Braddon K. Lance) “Cotranslational protein folding - fact or fiction?"}, Bioinformatics 2007 23: i142-i148.

(with W.P. Baritompa and D.W. Bulger) “Generating functions and the performance of backtracking adaptive search", Journal of Global Optimization 37 (2007) 159-175.

(with C.G. Qiao, C.D. Lai, D.W. Luo and J.Y. Ma) “Comparison of two common estimators of the ratio of the means of continuous measurements in agricultural research", J. Applied Mathematics and Decision Sciences, vol. 2006, Article ID 78375, 14 pages, 2006. doi:10.1155/JAMDS/2006/78375.

(with Fabien P.E. Huard and Charlotte M. Deane) “Modelling sequential protein folding using HP lattice models", Bioinformatics, 22 (2006) e203-e210.

(with D.W. Bulger, W.P. Baritompa and D.L.J. Alexander) “Backtracking adaptive search: distribution of number of iterations to convergence", Journal of Optimization Theory and Applications 128 (2006) 547-562.

(with D.L.J. Alexander and P.C.H. Morel) “Feeding strategies for maximising gross margin in pig production", Global Optimization: Scientific and Engineering Case Studies, Ed. Janos D. Pinter, Nonconvex Optimization and its Applications, 85, Kluwer Academic Publishers, 2006.

(with C.D. Lai and C.G. Qiao) “Estimation of a proportion using several independent samples of binomial mixtures", Australian and New Zealand Journal of Statistics 47 (2005) 441-448.

(with W.P. Baritompa and D.W. Bulger) “Grover's quantum algorithm applied to global optimisation", SIAM J. Optimization, 15 (2005) 1170-1184.

(with P.C.H. Morel) “Optimisation of nutrient use to maximise profitability and minimise nitrogen excretion in pig meat production systems", Acta Horticulturae 674 (2005) 269-275.

(with C.G. Qiao and C.D. Lai) “Estimating a binomial proportion from several independent samples", New Zealand Journal of Crop and Horticultural Science 33 (2005) 293-302.

(with W.P. Baritompa, M. Dur, E.M.T. Hendrix, L. Noakes and W.J. Pullan) “Matching stochastic algorithms to objective function landscapes", J. Global Optimization 31 (2005) 579-598.

(with Locatelli, M.) “Objective function features providing barriers to rapid global optimisation", J. Global Optimization 31 (2005) 549-565.

(with D.J. Saville) “The ubiquitous angle", J.R.S.S. (Series A) 168 (2005) 95-107.

“Confidence and prediction intervals for generalised linear accident models", Accident Analysis and Prevention, 37 (2005) 267-273.

(with D. Luo and G. Jones) “Visualising contingency table data”, Aust. Math. Soc. Gazette 31 (2004) 258-262.

(with C.D. Lai and C.G. Qiao) “The mean of the inverse of a punctured normal distribution and its application", Biometrical Journal 46 (2004) 420-429

(with D.A. Alexander, W.P. Baritompa, D.W. Bulger and Z.B. Zabinsky) “Expected hitting times for backtracking adaptive search", Optimization 53 (2004) 189-202.

(with D.W. Bulger and W.P. Baritompa) “Implementing pure adaptive search with Grover's Quantum Algorithm", J. Optimization Theory and Applications 116 (2003) 517-529.

(with D.L.J. Alexander and D.W. Bulger) “Expected search duration for finite backtracking adaptive search", Algorithms 47 (2003) 78-86.

(with A. Jonathan R. Godfrey, S. Ganesalingam, M.A. Nichols and Chungui Qiao) “Two-stage clustering in genotype-by-environment analyses with missing data", Journal of Agricultural Science (Camb.) 139 (2002) 67-78.

“Assessing goodness of fit for Poisson and negative binomial models with low mean", Communications in Statistics - Theory and Methods 31 (2002) 1977-2001.

(with Z.B. Zabinsky) “Implementation of stochastic adaptive search with Hit-and-Run as a generator", Handbook of Global Optimization, edited by P.M. Pardalos and H.E. Romeijn, Volume 2, (2002) 251-273 Kluwer Academic Publishers, Dordrecht, The Netherlands.

(with Z.B. Zabinsky) “Stochastic adaptive search", Handbook of Global Optimization, edited by P.M. Pardalos and H.E. Romeijn, Volume 2, (2002) 231-249 Kluwer Academic Publishers, Dordrecht, The Netherlands.

(with D.J. Saville) “A new angle on the $t$ test", J.R.S.S. (Series D) 51 (2002) 99-104.

(with B.P. Kristinsdottir and Z.B. Zabinsky) “Discrete backtracking adaptive search for global optimization", Stochastic and Global Optimisation, Nonconvex Optimization and its Applications, Volume 59, edited by G. Dzemyda, V. Saltenis and A. Zilinskas, Kluwer Academic Publishers (2002).

“Generalised linear accident models and goodness of fit testing", Accident Analysis and Prevention 34 (2002) 417-427

(with D.L.J. Alexander and D.W. Bulger) “Approximation of the distribution of convergence times for stochastic global optimisation", J. Global Optimization 22 (2002) 271-284.

(with Janet Norton and Geoffrey Lawrence) “Agri-genetics, food consumption and the environment: science versus the Australian public?", Consuming Foods, Sustaining Environments (Eds. Lockie, S. and Pritchard, B.) Australian Academic Press, Brisbane, 63-81.

(with D.L.J. Alexander, R.L. Sherriff and P.C.H. Morel) “Maximisation of gross margin in intensive livestock production", Acta Horticulturae 566 (2001) 97-103.

“Four dimensional honeycomb", Aust. Math. Soc. Gazette 28 (2001) 116-118.

(with D.L.J. Alexander, W.P. Baritompa, D.W. Bulger and Z.B. Zabinsky) “Adaptive search theory for global optimisation", New Zealand Science Review, 58 (2001) 24-28.

(with Z.B. Zabinsky and B.P. Kristinsdottir) “Hesitant adaptive search: the distribution of the number of iterations to convergence", Mathematical Programming 89 (2001) 479-486.

“Binomial mixtures: geometric estimation of the mixing distribution", The Annals of Statistics 27 (1999) 1706-1721.

(with F.M. Amirul Islam and Saleh A. Wasimi) “Macro-scale influence of climate on crop production in the Fitzroy catchment of Central Queensland", Australian

Journal of Agricultural Research 50 (1999) 529-536.

(with D.K. Morris, W.P. Baritompa and A.G. Keen) “A multiple binary Markov chain model for explaining the behaviour of diverse biological phenomena", Biometrical Journal 41 (1999) 601-614.

(with S.R. McDowall and P. Kleinschmidt) “Constructing infinite dimensional polytopes using Gale transforms'', Southeast Asian Bulletin of Mathematics 23 (1999) 291-307.

(with Janet Norton and Geoffrey Lawrence) “Consumer misgivings over genetically-engineered foods", Search 19 (1998) 23-26.

(with Janet Norton and Geoffrey Lawrence) “The Australian public's perceptions of genetically-engineered foods: methodology", Australasian Biotechnology 8 (1998) 241-242.

(with Janet Norton and Geoffrey Lawrence) “The Australian public's perceptions of genetically-engineered foods", Australasian Biotechnology 8 (1998) 172-181.

(with D.W. Bulger) “Hesitant Adaptive Search for global optimisation", Mathematical Programming 79 (1998) 89-102.

(with J.M. Robertson) “Buffon got it straight", Statistics and Probability Letters 37 (1998) 415-421.

(with J.M. Robertson) “Information in Buffon experiments", J. Statistical Planning and Inference 66 (1998) 21-37.

(with F.M. Amirul Islam and Saleh A. Wasimi) “The effect of climate on crop growth in Central Queensland", Agricultural Engineering Australia 26 (1997) 7-13.

(with S.R. Lindsay and R.C. Woollons) “Modelling the diameter distribution of forest stands using the Burr distribution", J. Applied Statistics 6 (1996) 609-619.

(with D.J. Saville, a textbook) “Statistical Methods: A Geometric Primer”,

(1996) Springer-Verlag, New York.

(with S.R. Lindsay and R.C. Woollons) “Stand table modelling through the Weibull distribution and usage of skewness information", Forest Ecology and Management 81 (1996) 19-23.

(with D.W. Bulger) “On the convergence of localisation search", State of the Art in Global Optimization: Computational methods and applications (edited by C.A. Floudas and Panos M. Pardalos)Kluwer Academic Publishers (1996) 227-233.

(with Zhang Baoping) “Estimation of the Lipschitz constant of a function”, J. Global Optimization 8 (1996) 91-103.

(with W. Baritompa, M.A. Steel and Z.B. Zabinsky) “Pure adaptive search for finite global optimization", Mathematical Programming 69 (1995) 443-448.

(with S. Dakin) “Learning TQM principles using jumbled proverbs", Quality Progress 28 (1995) 92-95.

(with W. Baritompa, R. Mladineo, Z. Zabinsky and Zhang Baoping) “Towards pure adaptive search", J. Global Optimization 7 (1995) 93-110.

(with I. Levi) “On automorphisms of transformation semigroups”, Semigroup Forum 48 (1994) 63-70.

(with M.A. Steel) “On a problem of Andersson and Perlman”, Statistics and Probability Letters 18 (1993) 381-382.

(with Zhang Baoping and W. Baritompa) “Multidimensional bisection: the performance and the context”, J. Global Optimization 3 (1993) 337-358.

“The bisection method in higher dimensions”, Mathematical Programming 55 (1992) 319-337.

“Binomial mixtures and finite exchangeability”, Annals of Probability 20 (1992) 1167-1173.

(with Liu Xu, A.G.D. Whyte and R.C. Woollons) “Stand table prediction with Reverse Weibull and extreme value density functions: some theoretical considerations”, Forestry Ecology and Management 48 (1992) 175-178.

(with K. Munshi) “Hoshin Kanri: a systematic approach to breakthrough improvement”, Total Quality Management 2 (1991) 213-226.

(with D. DeTemple and J. Robertson) “Uniquely remotal hulls”, Applied Geometry and Discrete Mathematics, The ``Victor Klee Festschrift'', The DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4 (1991) 193-204.

“Multidimensional bisection and global optimisation”, Computers and Mathematics with Applications 21 (1991) 161-172.

(with D.J. Saville) “Statistical Methods: The Geometric Approach”, Springer

Texts in Statistics (1991) Springer-Verlag, New York, Berlin, Heidelberg, Tokyo.

(with K.C. O'Meara) “The structure of the automorphism group of a Croisot-Teissier semigroup”, Semigroup Forum 42 (1991) 189-217.

“Teaching statistics with questions”, The New Zealand Statistician 23 (1988) 2-8.

“On computing the dispersion function”, J. Optimization Theory and Applications, 58 (1988) 331-350.

(with K.C. O'Meara) “The automorphism group of a Croisot-Teissier semigroup”, Quart. J. Math. 38 (1987) 345-353.

(with I. Levi and K.C. O'Meara) “Automorphisms of Croisot-Teissier semigroups”, J. Algebra 101 (1986) 190-245.

(with D.J. Saville) “A method for teaching statistics using N-dimensional geometry”, The American Statistician 40 (1986) 205-214.

“Divisible points of compact convex sets”, Israel J. Math. (1986) 54, 351-365.

(with P. Kleinschmidt) “Gale transforms and closed faces of infinite dimensional polytopes”, Mathematika 31 (1984) 291-304.

(with I. Levi) “Maximal subsemigroups of Baer-Levi semigroups”, Semigroup Forum 30 (1984), 99-102.

(with I. Levi, B.M. Schein and R.P. Sullivan) “Automorphisms of Baer-Levi semigroups”, J. London Math. Soc. (2) 28 (1983) 492-495.

“Automorphisms of semigroups of continuous functions”, J. Austral. Math. Soc. (Series A) 29 (1980) 301-309.

“The Keller Plan in South East Asian Universities?”, Bulletin of the UNESCO Regional Office for Education in Asia 19 (1978) 174-178.

(with W. Barit) “Differentiable retracts and a modified inverse function theorem”, Bull. Austral. Math. Soc. 18 (1978) 37-43.

“A note on automorphisms of semigroups and near-rings of mappings”, Studia Math. 63 (1977) 207-216.

(with Suchat Chantip) “Automorphisms of the semigroup of all onto mappings of a set”, Bull. Austral. Math. Soc. 14 (1976) 399-403.

“On the semigroup of Dk mappings on Frechet Montel space”, Studia Math. 51 (1974) 183-199.

“On the semigroup of Ck selfmaps of Rn”, J. Austral. Math. Soc. 17 (1974) 389-393.

(with Sadayuki Yamamuro) “On the semigroup of differentiable mappings (II)”, Glasgow Math. J. 13 (1972), 122-128.

Incidental publications

(with S. Turner and A. Roozenburg) “Accident prediction models for roundabouts", Proceedings of the 22nd ARRB Conference, Canberra (2006).

(with S. Turner and A. Roozenburg) “Accident prediction models for high speed intersections (both rural and urban)", Proceedings of the 22nd ARRB Conference, Canberra (2006).

“2006 EOWA Australian Census of Women in Leadership", Australian Government, Equal Opportunity for Women in the Workplace Agency, Level 6, 1 Elizabeth Plaza, North Sydney, NSW 2060(2006)32pp.

(with Duangdaw Sirisatien, P.C.H. Morel and Yuthana Siriwathananukul) “Designing an optimal pig feeding schedule in southern Thailand", Kasetsart Journal (Natural Science), 39 (2006) 8-15.

(with Duangdaw Sirisatien, P.C.H. Morel and Yuthana Siriwathananukul) “Designing an optimal pig feeding schedule in southern Thailand", The Proceedings of the 43rd Kasetsart University Annual Conference, Eds. K. Markvichitr et al., Bangkok, Thailand (2005) 96-103.

(with Dorothy Wong) “A multi-stage approach to clustering in microarray experiments", Proceedings of the International Conference on Statistical Modelling, Eds. A.R. Francis, K.M. Matawie, A. Oshlack and G.K. Smyth, Sydney, Australia (2005) 473-480.

(with Maree O'Sullivan, Glenn Stone and Dan Catchpoole) “Comparison of cDNA and Affymetrix microarray data for paediatric acute lymphoblastic leukemia", Proceedings of the International Conference on Statistical Modelling, Eds. A.R. Francis, K.M. Matawie, A. Oshlack and G.K. Smyth, Sydney, Australia (2005) 369-372.

(with Duangdaw Sirisatien and P.C.H. Morel) “Global optimisation applied to pig nutrition"}, Proceedings of the International Workshop on Global Optimization, Almeria, Spain (2005) 257-262.

(with Duangdaw Sirisatien, P.C.H. Morel and Yuthana Siriwathananukul) “Designing an optimal pig feeding schedule in southern Thailand", The Proceedings of the 43rd Kasetsart University Annual Conference, Eds. K. Markvichitr et al., Bangkok, Thailand (2005) 96-103.

(with Shane Turner, Aaron Roozenburg and Tony Francis) “Prediction models for pedestrian and cyclist accidents", New Zealand Institute of Highway Technology, Towards Sustainable Land Transport Conference, 21-24 November, 17pp. Wellington, New Zealand (2004).

(with Shane Turner and Alan Dixon) “Assessing the crash implications of roadside hazards"}, Institute of Professional Engineers of New Zealand Transportation Group. 2004 Traffic Management Workshop and Technical Conference, 15pp. Wellington, New Zealand (2004).

(with D.J. Saville) “The geometry of the $p$-value", in Roger Littlejohn (ed.), Collaborations, Designs and Explorations, A Festschrift for Peter Johnstone, Statistics and Bioinformatics Group, AgResearch (2004) 91-111.

(with R.L. Sherriff, H.T. Blair, P.C.H. Morel, R. Sridharan and J.W. Tweedie) “Theoretical considerations on genetic selection using an in-silico biogenic model", Conference of the Australasian Pig Science Association, Perth, November 2003.

(with P.C.H. Morel and D. Woods) “Modelling nitrogen excretion in grower-finisher pigs", Proceedings of the 75th anniversary of Massey University, May 2002.

(with M. A. Nichols, A.J.R. Godfrey, Chungui Qiao and S. Ganesalingam) “An improved imputation method for incomplete G$\times$E trial data for asparagus",

Tenth International Asparagus Symposium, Niigata, Acta Horticulturae 589 (2002) 111-116.

(with L. Currah, A. J. R. Godfrey and M. A. Nichols) “Two-stage clustering of onions in the tropics", in Randle, W.M. (ed.) Proceedings of the Third International Symposium on Edible Alliaceae, Athens, Georgia, USA, 30 October to 3 November 2000, (2001) 213-217.

(with L. Currah, A.J.R. Godfrey and M.A. Nichols) “Improving the methods used in collaborative onion trials in order to facilitate genotype by environment analyses - lessons from experience", in Randle, W.M. (ed.) Proceedings of the Third International Symposium on Edible Alliaceae, Athens, Georgia, USA, 30 October to 3 November 2000, (2001) 26-31.

(with P.C.H. Morel, J.A. Timmers, T.A.T.H. de Wit, R. Sherriff, B.J. Camden,

D.V. Thomas and V. Ravindran) “Prediction of feed intake in modern broilers", Australian Poultry Science Symposium (2001) (to appear).

(with David L.J. Alexander and Patrick C.H. Morel) “Feeding strategies for maximising gross margin in pig production", Proceedings of the ORSNZ, Wellington (2001).

“Bisection global optimization methods", Encyclopedia of Global Optimization (C.A. Floudas and P.M. Pardalos, eds.) Kluwer (2001).

“Paving the way for quantum computers", Marsden Fund Update, 13 (2000) 4.

(with Lesley Currah and David J. Midmore) “Relating experimental onion yields to environmental factors across the tropics and sub-tropics", Allium Improvement Newsletter, 8, U.S. Dept of Agriculture (1999) 46-49.

(with David J. Saville) “A new angle on the $t$-test", Proceedings of the Fifth International Conference on Teaching Statistics, Singapore (1998) 197.

(with Saleh. A. Wasimi) “Transforming first year university statistics teaching", Proceedings of the Fifth International Conference on Teaching Statistics, Singapore (1998) 167-172.

“Convergence rates for stochastic global optimisation", Proceedings of the Fourth International Conference on Optimization Techniques and Applications, Perth (1998) 246-250.

(with R.Ho, G. Davidson, M. Van Dyke, G. Lawrence and M. Agar-Wilson) “The psychological well-being of at-fault driver injured family members: Towards a research plan'', MAIC Conference, Brisbane (1997).

(with S.A. Wasimi, a textbook) “Statistics: Thinking and Practice'', (1996) CQU Press.

“Life, death, money and mathematics", Inaugural lecture, CQU Press (1996).

“Bridging the gap between town and gown", Proceedings of the Section on Quality and Productivity, ASA 1994 Winter Conference, 250-251.

“Timber Preservation Quality Manual", Fraemohs Industries Limited (1993).

“Development of models relating frequency of collisions to traffic flows, Stage II", Transit New Zealand Research Report (1993) 50pp.

(with R.C. Woollons) “Utility and performance of five sigmoid yield-age functions, fitted to stand growth data”, Proc. IUFRO Mensuration Conference, Canberra (1992).

“Development of models relating frequency of collisions to traffic flows, Stage I", Transit New Zealand Research Report(1992) 50pp.

“Project Materials for seventh form Mathematics with Statistics”, New Zealand Department of Education, (jointly compiled and edited by David Ryan and G. R. Wood) (1988).

“Automorphisms of Croisot-Teissier semigroups''}, Abstr. of the Amer. Math. Soc. 4 (1983) 160, 802-20-91.

“Compact convex sets and mixture identifiability”, Research Report No. 20, Mathematics Department, University of Canterbury (1982) 1-22.

“Staff Exchanges in New Zealand”, N.Z. Math. Soc. Newsletter 20 (1981) 11-13.

“Calculus”, (text for first year students), Mathematics Department, University of Canterbury (1981) 1-176.

(with C. Kukusamude and V. Rampawathana) “ANOVA by Computer'', Mathematics Department, Khon Kaen University, (1976) 1-53.

“Semigroups of differentiable functions'', Bull. Austral. Math. Soc. 9 (1973) 313-314.