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tel: +64 6 350 5799 x2483
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Institute of Fundamental Sciences
Massey University
Private Bag 11222
Palmerston North 4442
New Zealand
Martin Hazelton's Publications

Refereed Journal Papers

Smoothing Methods

  1. Hazelton, M.L. (1996). Bandwidth selection for local density estimators. Scandinavian Journal of Statistics, 23, 221-232.
  2. Hazelton, M.L. (1996). Optimal rates for local bandwidth selection. Journal of Nonparametric Statistics, 7, 57-66.
  3. Hazelton, M.L. (1998). Bias annihilating bandwidths for kernel density estimation at a point. Statistics and Probability Letters, 38 , 305-309.
  4. Hazelton, M.L. (2000). Marginal density estimation from incomplete bivariate data. Statistics and Probability Letters, 47, 75-84.
  5. Duong, T and Hazelton, M.L. (2003). Plug-in bandwidth selectors for bivariate kernel density estimation. Journal of Nonparametric Statistics, 15, 17-30.
  6. Hazelton, M.L. (2003). Variable kernel density estimation. Australian and New Zealand Journal of Statistics, 45, 271-284.
  7. Hazelton, M.L. (2004). Density estimation from aggregate data. Computational Statistics, 19, 407-423.
  8. Duong, T. and Hazelton, M.L. (2005). Convergence rates for unconstrained bandwidth matrix selectors in multivariate kernel density estimation. Journal of Multivariate Analysis, 93, 417-433.
  9. Duong, T and Hazelton, M.L. (2005). Cross-validation bandwidth matrices for multivariate kernel density estimation. Scandinavian Journal of Statistics, 32, 485-506.
  10. Hazelton, M.L. and Turlach, B.A. (2007). Reweighted kernel density estimation. Computational Statistics and Data Analysis, 51, 3057-3069.
  11. Hazelton, M.L. (2007). Bias reduction in kernel binary regression. Computational Statistics and Data Analysis, 51, 4393-4402.
  12. Hazelton, M.L. and Davies, T.M. (2009). Inference based on kernel estimates of the relative risk function in geographical epidemiology. Biometrical Journal, 51, 98-109.
  13. Hazelton, M.L. and Marshall, J.C. (2009). Linear boundary kernels for bivariate density estimation. Statistics and Probability Letters, 79, 999-1003.
  14. Hazelton, M.L. and Turlach, B.A. (2009). Nonparametric density deconvolution by weighted kernel estimators. Statistics and Computing, 19, 217-228.
  15. Hazelton, M.L. and Turlach, B.A. (2010). Semiparametric density deconvolution. Scandinavian Journal of Statistics 37, 91-108.
  16. Marshall, J.C. and Hazelton, M.L. (2010). Boundary kernels for adaptive density estimators on regions with irregular boundaries. Journal of Multivariate Analysis 101, 949-963.
  17. Davies, T.M. and Hazelton, M.L. (2010). Adaptive kernel estimation of spatial relative risk. Statistics in Medicine, 29, 2423-2437.
  18. Davies, T.M., Hazelton, M.L. and Marshall, J.C. (2011). sparr: Analyzing spatial relative risk using fixed and adaptive kernel density estimation in R. Journal of Statistical Software, 39, 1-14.
  19. Hazelton, M.L. (2011). Assessing Log-Concavity of Multivariate Densities. Statistics and Probability Letters, 81, 121-125.
  20. Turlach, B.A., and Hazelton, M.L. (2011). Semiparametric regression with shape constrained  penalized splines. Computational Statistics and Data Analysis, 55, 2871-2879.

Statistics in Epidemiology and Medicine

  1. Gurrin, L.C, Moss, T.J., Sloboda, D.M., Hazelton, M.L., Challis, J.R.G, and Newnham, J.P. (2003) Using WinBUGS to fit non-linear mixed models with an application pharmacokinetic modelling of insulin response to glucose challenge in sheep exposed antenatally to glucocorticoids. Journal of Biopharmaceutical Statistics, 13, 117-139.
  2. Hazelton, M.L., and Gurrin, L.C. (2003). A note on genetic variance components in mixed models. Genetic Epidemiology, 24, 297-301.
  3. Morgan, W.H., Hazelton, M.L., Azar, S.L., Cringle, S.J., House, P.H., Yu, D.-Y. and Balaratnasingham, C. (2004). Retinal venous pulsation in glaucoma and glaucoma suspects. Ophthalmology, 111, 1489-1494.
  4. Morgan, W.H., Balaratnasingam, C., Hazelton, M.L., House, P.H., Cringle, S.J., Yu, D.-Y. (2005). The force required to induce hemivein pulsation is associated with the site of maximal field loss in glaucoma. Investigative Ophthalmology and Visual Science, 46, 1307-1312.
  5. Gurrin, L.C., Scurrah, K. and Hazelton, M.L. (2005). Tutorial in biostatistics: Spline smoothing with linear mixed models. Statistics in Medicine, 24, 3361-3381.
  6. Benschop, J., Hazelton, M.L., Stevenson, M.A., Dahl, J., Morris R.S. and French, N. (2008). Descriptive spatial epidemiology of subclinical Salmonella infection in Danish finisher pig herds: application of a novel method of spatially adaptive smoothing. Veterinary Research, 39:02.
  7. Balaratasingham, C., Morgan, W.H., Hazelton, M., House, P., Barry, C., Chan, H., Cringle, S, and Yu, D.Y. (2007). Retinal vein pulsation characteristics are predictive of glaucoma progression. British Journal of Ophthalmology, 91, 441-444.
  8. Morgan, W.H., Hazelton, M.L., Balaratnasingam, C., Chan, H., House, P.H., Barry, C.J., Cringle, S.J., and Yu, D.-Y. (2009).The association between retinal vein ophthalmodynamometric force change and optic disk excavation. British Journal of Ophthalomology 93,594–596.
  9. R.L. Sanson, R.L., Harvey, N., Garner, M.G., Stevenson, M.A., Davies, T.M., Hazelton, M.L., O’Connor, J., Dubé, C., Forde-Folle, K.N. and Owen, K. (2011) Foot-and-mouth disease model verification and 'relative validation' through a formal model comparison. Revue Scientifique et Technique-Office International des Epizooties 30(2), 527-540.

Statistical Modelling and Inference in Transportation Science

  1. Hazelton, M.L. (1998). Some remarks on Stochastic User Equilibrium. Transportation Research B, 32, 101-108.
  2. Broughton, J., Hazelton, M.L. and Stone, M. (1999). Influence of light-level on the incidence of road casualties and the associated effect of summertime clock changes. Read before the Royal Statistical Society, 14 October 1998, and in Journal of the Royal Statistical Society, Series A, 162, 137-175.
  3. Hazelton, M.L. and Pueschel, J. (1999). Estimation of link performance functions from incomplete flow data. Journal of Advanced Transportation , 33, 323-334.
  4. Hazelton, M.L. (2000). Estimation of origin-destination matrices from link flows on uncongested networks. Transportation Research B, 34, 549-566.
  5. Hazelton, M.L. (2001). Inference for origin-destination matrices: estimation, reconstruction and prediction. Transportation Research B , 35, 667-676.
  6. Hazelton, M.L. (2001). Estimation of Origin-Destination Trip Rates in Leicester. Journal of the Royal Statistical Society, Series C (Applied Statistics), 50, 423-433.
  7. Hazelton, M.L. (2002). Day-to-day variation in Markovian traffic assignment models. Transportation Research B, 36, 637-648.
  8. Hazelton, M.L. (2003). Some comments on origin-destination matrix estimation. Transportation Research A, 37, 811-822.
  9. Hazelton, M.L. (2003). Total travel cost in stochastic assignment models. Networks and Spatial Economics, 3, 457-466.
  10. Watling, D.P. and Hazelton, M.L. (2003). The dynamics and equilibria of day-to-day assignment models. Networks and Spatial Economics, 3, 349-370.
  11. Hazelton, M.L. and Watling, D.P. (2004). Computation of equilibrium distributions of Markov traffic assignment models. Transportation Science, 38, 331-342.
  12. Hazelton, M.L. (2004). Estimating vehicle speed from traffic count and occupancy data. Journal of Data Science, 2, 231-244.
  13. Hazelton, M.L. (2008). Statistical inference for time varying origin-destination matrices. Transportation Research Part B, 42, 442-452.
  14. Hazelton, M.L. (2010). Bayesian inference for network-based modes with a linear inverse structure. Transportation Research Part B, 44, 674-685.
  15. Hazelton, M.L. (2010). Statistical inference for transit system origin-destination matrices. Technometrics,  52 (2),  221-230.
  16. Parry, K. and Hazelton, M.L. (2012). Estimation of origin-destination matrices from link counts and sporadic routing data. Transportation Research Part B, 46, 175-188.

Other Statistical Methods and Theory

  1. Hazelton, M.L. (1995). Improved Monte Carlo inference for models with additive error. Statistics and Computing, 5, 343-350.
  2. Hazelton, M.L. (2003). A graphical tool for assessing normality. The American Statistician, 57, 285-288.
  3. Baddeley, A., Turner, R., Moller, J. and Hazelton, M. (2005). Residual analysis for spatial point processes (with discussion). Journal of the Royal Statistical Society Series B, 67, 617-666. Read before the Royal Statistical Society on Wednesday 22nd June 2005.

Other Applications

  1. Sircombe, K.N. and Hazelton, M.L. (2004). Comparison of detrital zircon age distributions by kernel functional estimation. Sedimentary Geology, 171, 91-111.
  2. Firth, L., Hazelton, M.L. and Campbell, E. (2005). Predicting the onset of winter rains using random forests. Journal of Climate, 18, 772-781.
  3. Trinajstic, K. and Hazelton, M. (2007) The taxonomic implications of intraspecific and ontogenetic variation in compagopiscis croucheri (placodermi). Journal of Vertebrate Paleontology, 27, 571-583.
  4. Sadler R. J., Hazelton M., Boer M. B. and Grierson, P. (2010). Deriving state-and-transition models of semi-arid grassland dynamics using imagery. Ecological Modelling, 221(3), 433-444.
Letters, Discussions and Short Contributions
  1. Hazelton, M.L. (2004). Reply to "Hazelton, M.L. (2003), A Graphical Tool for Assessing Normality", The American Statistician, 57, 285-288: Comment by Jones". The American Statistician, 58, 176-177.
  2. Morgan W.H., Hazelton M.L., Azar S.L., House P.H., Yu D.Y., Cringle S.J., Balaratnasingam C. (2004). Letter to Editor in reply to Jost B. Jonas regarding the article by: Morgan WH, Hazelton ML, Azar SL, House PH, Yu DY, Cringle SJ, Balaratnasingam C: Retinal venous pulsations in glaucoma and glaucoma suspects, in Ophthalmology, 111, 1489-1494. Ophthalmology, 112, 949.
  3. Hazelton, M.L. (2008). Letter to the Editor: Kernel estimation of risk surfaces without the need for edge correction. Statistics in Medicine, 27, 2269-2272.
  4. Hazelton, M.L. (2010). Discussion of "Maximum likelihood estimation of a multi-dimensional log-concave density" by Cule, Samworth and Stewart. Journal of the Royal Statistical Society Series B 72 (5), 595-596.

Refereed Book Chapters and Conference Proceedings
  1. Hazelton, M. L. and Polak, J. W. (1994). Aggregate network performance relations: theory and empirical results. In Proceedings of the 22nd European Transport Forum, Seminar G, 301-313, PTRC, London.
  2. Hazelton, M.L., Lee, S. and Polak, J.W. (1996). Stationary states in stochastic process models of traffic assignment: a Markov Chain Monte Carlo approach. In Proceedings of the 13th International Symposium on Transportation and Traffic Theory, (ed. J.-B. Lesort) 341-357. Pergamon, Oxford.
  3. Lee, S. and Hazelton, M.L. (1996). Stochastic optimization of combined traffic assignment and signal control junction modelling. In Proceedings of the 13th International Symposium on Transportation and Traffic Theory, (ed. J. B. Lesort) 713-735. Pergamon, Oxford.
  4. Hazelton, M.L. and Polak, J.W. (1997). Modelling traveller learning in stochastic traffic assignment. In Proceedings of the IFAC/IFIP/IFORS Symposium on Transportation Systems , (eds. M. Papageorgiou & A. Pouliezos), 2, 646-651.
  5. Polak, J.W. and Hazelton, M.L. (1998). The influence of alternative traveller learning mechanisms on the dynamics of transport systems. In European Transport Conference, Proceedings of Seminar D: Transportation and Planning Methods, 83-95.

Minimally Refereed Conference Papers
  1. Hazelton, M. L. (1994). Network aggregation as a source of error and bias in transport system perfromance. Proceedings of the 1994 Universities' Transport Studies Group Conference, UTSG, U.K.
  2. Lee, S. and Hazelton, M. (1996). A stochastic traffic assignment model for dynamic route guidance. Proceedings of the 3rd World Congress on Intelligent Transport Systems [CDROM].
  3. Hazelton, M. L., Lee, S. and Polak, J. W. (1996). Stationary states in stochastic process models of traffic assignment: a Markov Chain Monte Carlo approach. Proceedings of the 1996 Universities' Transport Studies Group Conference, UTSG, U.K.
  4. Hazelton, M.L. (1996). Monte Carlo inference for a model of carbon fibre strength. In Proceedings of the 11th International Workshop on Statistical Modelling, 192-199 (1996).
  5. Duong, T. and Hazelton, M. (2001). Efficient day-to-day simulation of traffic systems with applications to the effects of pre-trip information. Proceedings of the 8th World Congress on Inteligent Transport Systems. (CDROM from ITS Australia.)
  6. Scurrah, K, Hazelton, M., Palmer, L and Burton, P. (2001). Generalized linear mixed models for familial survival data, with applications to COAG data. In: Klein, B., Korsholm, L. (eds) Proceedings of the 16th International Workshop on Statistical Modelling, Odense, Denmark, pp 355-362.
  7. Hazelton, M., and Gordon, A. (2002). Esitmation of Origin-Destination matrices from link counts. Proceedings of the European Transport Forum. (CDROM from PTRC)
  8. Sadler, R., Hazelton, M., and Grierson, P. (2003). Spatio-temporal dynamics of Pilbara grasslands. Proceedings of the 7th International Rangelands Conference (Durban, RSA, 26 July - 1 August 2003).
  9. Benschop, J., Hazelton, M. L., Stevenson, M. A., Dahl, J., Morris, R. S., French, N. P. (2007). Application of a novel method of spatially adaptive smoothing. Proceedings of GisVet 07, (August 24, Denmark), pp. 1-4.
Others
  1. Hazelton, M.L. (1998). Nonparametric Regression. In the Encyclopedia of Biostatistics, Vol. 4, Ed. P. Armitage and T. Colton. John Wiley & Sons. pp. 3037-3039.
  2. Hazelton, M.L. (2000). Book review of 'Local Regression and Likelihood' by Clive Loader. Journal of Applied Statistics, 27 , 519-521.
  3. Hazelton, M.L. (2003). Book review of 'Bayesian Statistical Modelling' by Peter Congdon. Journal of Applied Statistics, 30, 601-602.
  4. Hazelton, M. L. (2005). Nonparametric regression. In the Encyclopedia of Biostatistics (2nd edition), Ed. P. Armitage and T. Colton. John Wiley & Sons.
  5. Hazelton, M. L. (2005). Kernel Smoothing. In the Encyclopedia of Statistics in Behavioral Science, John Wiley & Sons.
  6. Hazelton M L (2010), Univariate Linear Regression. In: Penelope Peterson, Eva Baker, Barry McGaw, (Editors), International Encyclopedia of Education. volume 7, pp. 482-488. Oxford: Elsevier.
  7. Hazelton, M.L. (2011). Method of moments estimation. In International Encyclopedia of Statistical Sciences, Part 13, 816-817, Springer.
Submitted for Publication
  1. Fernando, W.T.P.S, Ganesalingam, S. and Hazelton, M.L. (2012). A comparison of estimators of the geographical relative risk function. Submitted for publication.
Selected Consulting Reports
  1. Hazelton, M. L. and Gupta, R. (2000) Survival Analysis of Data on Endometrial Carcinoma, for King Edward Memorial Hospital, UWA Statistical Consulting Group report, 2000/4.
  2. Hazelton, M. L. and Gupta, R. (2000) Optimum Sampling Plans for Fraud Detection and Fake Party Membership Registration, for Electoral Commissioner of WA, UWA Statistical Consulting Group report 2000/7.
  3. Murray, K. and Hazelton, M.L. (2001). Calculation of Performance Amounts, for Packer & Co., UWA Statistical Consulting Group report.
  4. Gordon, A, Hazelton, M. and Bari, M. (2002). Derivation of OD Trip Matrices: Phase 1 Report. Consulting report for the Highways Agency U.K. (87 pages).
  5. Vijayan, K., Hazelton, M.L. and Murray, K. (2003). Sampling Scheme for Incoming Consignments of Bananas from the Eastern States, for Western Australian Department of Agriculture, UWA Statistical Consulting Group report.
  6. Murray, K., Khan, N, Hazelton, M.L. (2004). Probability Calculations For Proposed Racing Scratch Cards. UWA Statistical Consulting Group report.


Page last updated:13 January 2012.