Massey University

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  Professor Mark Bebbington: Publications (by date)
 

    Geophysics

      Volcanology

      1. M.S. Bebbington and C.D. Lai. On nonhomogeneous models for volcanic eruptions. Mathematical Geology, 28, 585-600, 1996.
      2. M.S. Bebbington and C.D. Lai. Statistical analysis of New Zealand volcanic occurrence data. Journal of Volcanology and Geothermal Research, 74, 101-110, 1996.
      3. David M. Johnston, Mark S. Bebbington, Chin-Diew Lai, Bruce F. Houghton and Douglas Paton. Volcanic hazard perceptions: comparative shifts in knowledge and risk. Disaster Prevention and Management, 8, 118-126, 1999.
      4. D. Paton, D.M. Johnston, M.S. Bebbington, C-D. Lai and B.F. Houghton. Direct and vicarious experience of volcanic hazards: implications for risk perception and adjustment adoption. Australian Journal of Emergency Management, 15(4), 58-62, 2000.
      5. Shane Cronin, Mark Bebbington and Chin-Diew Lai. A probabilistic assessment of eruption recurrence on Taveuni volcano, Fiji. Bulletin of Volcanology, 63, 274-288, 2001.
      6. M. Bebbington, M. Turner and S. Cronin. Towards a probabilistic forecast for tephra eruptions from Taranaki volcano. In Proceedings of the Volcanic Impacts Study Group Annual Seminar 2006, Auckland, 24 November 2006, Auckland Regional Council, 2006.
      7. M.S. Bebbington. Identifying volcanic regimes using hidden Markov models. Geophysical Journal International, 171, 921-942, 2007.
      8. M. Turner, S.J. Cronin, M. Bebbington and T Platz. Developing a probabilistic eruption forecast for dormant volcanos; a case study from Mt Taranaki, New Zealand. Bulletin of Volcanology, 70, 507-515, 2008.
      9. M. Turner, S.J. Cronin, R.B. Stewart, M. Bebbington and I. Smith. Using titanomagnetite textures to elucidate volcanic eruption histories. Geology, 36, 31-34, 2008.
      10. M. Bebbington, S. Cronin, I. Chapman and M. Turner. Quantifying volcanic ash fall hazard to electricity infrastructure. Journal of Volcanology and Geothermal Research, 177, 1055-1062, 2008.
      11. M. Bebbington. Incorporating the eruptive history in a stochastic model for volcanic eruptions. Journal of Volcanology and Geothermal Research, 175, 325-333, 2008.
      12. M. Bebbington. Volcanic eruptions: Stochastic models of occurrence patterns. In (R.A. Meyers, ed.) Encyclopedia of Complexity and System Science, Springer, New York. Volume 9, 9831-9861, 2009.
      13. M. Turner, M. Bebbington, S. Cronin and R.B. Stewart. Merging eruption datasets: Building an integrated Holocene eruptive record of Mt Taranaki. Bulletin of Volcanology, 71, 903-918, 2009.
      14. M. Bebbington. Trends and clustering in the onsets of volcanic eruptions. Journal of Geophysical Research, 115, B01203, doi:10.1029/2009JB006581, 2010.
      15. M. Bebbington and S.J. Cronin. Spatio-temporal hazard estimation in the Auckland Volcanic Field, New Zealand, with a new event-order model. Bulletin of Volcanology, 73, 55-72, 2011.
      16. M.B. Turner, S.J. Cronin, M. Bebbington, I.E.M. Smith and R.B. Stewart. Relating magma composition to eruption variability at andesitic volcanoes: A case study from Mount Taranaki, New Zealand. GSA Bulletin 123, 2005-2015, 2011.
      17. M.S. Bebbington and W. Marzocchi. Stochastic models for earthquake triggering of volcanic eruptions. Journal of Geophysical Research, 116, B05204, doi:10.1029/2010JB008114, 2011.
      18. A. Rodado, M. Bebbington, A. Noble, S. Cronin and G. Jolly. On selection of analogue volcanoes. Mathematical Geosciences, 43, 505-519, 2011.
      19. M.B. Turner, S.J. Cronin, M.S. Bebbington and I.E.M. Smith. Andesitic tephrochronology: Construction of a pyroclastic eruption record for Mt Taranaki, New Zealand. Quaternary International, 246, 364-373, 2011.
      20. A.V. Zernack, S.J. Cronin, M.S. Bebbington, R.C. Price, I.E.M. Smith, R.B. Stewart and J.N. Procter. Forecasting catastrophic stratovolcano collapse, a model based on Mt. Taranaki, New Zealand. Geology, 40, 983-986, 2012.
      21. W. Marzocchi and M.S. Bebbington. Probabilistic eruption forecasting at short and long time scales. Bulletin of Volcanology, 74, 1777-1805, 2012.
      22. T. Wang and M. Bebbington. Estimating the likelihood of an eruption from a volcano with missing onsets in its record. Journal of Volcanology and Geothermal Research, 243-244, 14-23, 2012.
      23. G. Kereszturi, J. Procter, S.J. Cronin, K. Németh, M. Bebbington and J. Lindsay. LiDAR-based quantification of lava flow susceptibility in the City of Auckland (New Zealand). Remote Sensing of Environment, 125, 198-213, 2012.
      24. M.S. Bebbington. Models for temporal volcanic hazard. Statistics in Volcanology, 1, 1-24, 2013.
      25. M.S. Bebbington. Assessing spatio-temporal eruption forecasts in a monogenetic volcanic field. Journal of Volcanology and Geothermal Research, 252, 14-28, 2013.
      26. R. Green, M.S. Bebbington, S.J. Cronin and G. Jones. Geochemical precursors for eruption repose length. Geophysical Journal International, 193, 855-873, 2013.
      27. T. Wang and M. Bebbington. Robust estimation for the Weibull process applied to eruption records. Mathematical Geosciences, 45, 851-872, 2013.
      28. E. Kawabata, M.S. Bebbington, S.J. Cronin and T. Wang. Modeling thickness variability in tephra deposition. Bulletin of Volcanology, 75: 738, 2013.
      29. N. Le Corvec, M.S. Bebbington, J.M. Lindsay and L.E. McGee. Age, distance and geochemical evolution within a monogenetic volcanic field: Analyzing patterns in the Auckland Volcanic Field eruption sequence. Geochemistry, Geophysics, Geosystems, 14, 3648-3665, 2013
      30. M.A. El-Difrawy, M. Runge, M.R. Moufti, S.J. Cronin, M. Bebbington. A first hazard analysis of the Quaternary Harrat Al-Madinah volcanic field, Saudi Arabia. Journal of Volcanology and Geothermal Research, 267, 39-46, 2013.
      31. M.S. Bebbington. Assessing probabilistic forecasts of volcanic eruption onsets. Bulletin of Volcanology, 75: 783, 2013.
      32. M.G. Runge, M.S. Bebbington, S.J Cronin, J.M. Lindsay, C.L. Kenedi and M.R.H. Moufti. Vents to Events: Determining an eruption event record from volcanic vent structures for the Harrat Rahat, Saudi Arabia. Bulletin of Volcanology, 76, 804, 2014.
      33. M.S. Bebbington. Long-term forecasting of volcanic explosivity. Geophysical Journal International, 197, 1500-1515, 2014.
      34. R.M. Green, M.S. Bebbington, S.J. Cronin and G. Jones. Automated statistical matching of multiple tephra records exemplified using five long maar sequences younger than 75 ka, Auckland, New Zealand. Quaternary Research, 82, 405-419, 2014.
      35. E. Kawabata, S.J. Cronin, M.S. Bebbington, M.R. Moufti, N. El-Masry, T. Wang. The AD1256 Al-Madinah eruption, Saudi Arabia: Identifying multiple eruption phases from a compound tephra blanket. Bulletin of Volcanology, 77, 6, 2015.
      36. M.S. Bebbington. Spatio-volumetric hazard estimation in the Auckland Volcanic Field. Bulletin of Volcanology, 77, 39, 2015.
      37. Chuck Connor, Mark Bebbington and Warner Marzocchi. Probabilistic volcanic hazard assessment. In (H. Sigurdsson, B. Houghton, S. McNutt, H. Rymer and J. Stix, eds.) Encyclopedia of Volcanoes, 2nd Edition, Academic Press, 897-910, 2015.
      38. M.G. Runge, M.S. Bebbington, S.J. Cronin, J.M. Lindsay, M.R. Moufti. Defining a volcanic field boundary. Journal of Applied Volcanology, 4, 22, 2015
      39. M. Bebbington and R. Zitikis. Dynamic uncertainty in cost-benefit analysis of evacuation prior to a volcanic eruption. Mathematical Geosciences, 48, 123-148, 2016.
      40. M.G. Runge, M.S. Bebbington, S.J. Cronin, J.M. Lindsay and M.R. Moufti. Integrating geological and geophysical data to improve probabilistic hazard forecasting of Arabian Shield volcanism. Journal of Volcanology and Geothermal Research, 311, 41-59, 2016.
      41. R.M. Green, M.S. Bebbington, G. Jones, S.J. Cronin, M.B. Turner. Estimation of tephra volumes from sparse and incompletely observed deposit thicknesses. Bulletin of Volcanology, 78, 25, 2016.
      42. E. Kawabata, M.S. Bebbington, S.J. Cronin and T. Wang. Optimal likelihood matching of volcanic sources and deposits in the Auckland Volcanic Field. Journal of Volcanology and Geothermal Research, 323, 194-208, 2016.
      43. Gabor Kereszturi, Mark Bebbington and Karoly Nemeth. Forecasting transitions in monogenetic eruptions using the geologic record. Geology, 45, 283-286, 2017.
      44. M. Damaschke, S.J. Cronin, K.A. Holt, M.S. Bebbington and A. Hogg. A 30,000 yr high-precision eruption history for the andesitic Mt Taranaki, North Island, New Zealand. Quaternary Research, 87, 1-23, 2017
      45. Mark Stirling, Mark Bebbington, Marco Brenna, Shane Cronin, Annemarie Christophersen, Natalia Deligne, Tony Hurst, Art Jolly, Gill Jolly, Ben Kennedy, Gabor Kereszturi, Jan Lindsay, Vince Neall, Jonathan Procter, David Rhoades, Brad Scott, Phil Shane, Ian Smith, Richard Smith, Ting Wang, James White, Colin Wilson, and Tom Wilson. Conceptual Development of a National Volcanic Hazard Model for New Zealand. Frontiers in Volcanology, 5, 51, 2017
      46. M. Damaschke, S. Cronin, M. Bebbington. A volcanic event forecasting model for multiple tephra records, demonstrated on Mt. Taranaki, New Zealand. Bulletin of Volcanology, 80, 9, 2018.
      47. M.S. Bebbington, M. Stirling, S. Cronin, T. Wang, G. Jolly. National-level long-term eruption forecasts by expert elicitation. Bulletin of Volcanology, 80, 56, 2018.
      48. S.F. Jenkins, H. Goldstein, M.S. Bebbington, R.S.J. Sparks and T. Koyaguchi. Forecasting explosion repose intervals with a non-parametric Bayesian survival model: Application to Sakura-jima volcano, Japan. Journal of Volcanology and Geothermal Research, 381, 44-56, 2019.
      49. Mark S. Bebbington and Susanna F. Jenkins. Intra-eruption forecasting. Bulletin of Volcanology, 81, 34, 2019

      Seismology

      1. M. Bebbington, D. Vere-Jones and X. Zheng. Percolation theory, a model for rock fracture? Geophysical Journal International, 100, 215-220, 1990.
      2. Mark Bebbington. A hierarchical stress-release model for synthetic seismicity. Journal of Geophysical Research, 102, 11677-11687, 1997.
      3. C. Lu, D.S. Harte and M.S. Bebbington. A linked stress release model for historical earthquakes from Japan: Implications for coupling among major seismic regions. Earth Planets Space, 51, 907-916, 1999.
      4. Mark Bebbington and David Harte. On the statistics of the linked stress release process. Journal of Applied Probability, 38A, 176-187, 2001.
      5. K. Borovkov and M. Bebbington. A stochastic two-node stress transfer model reproducing Omori's law. Pure and Applied Geophysics, 160, 1429-1445, 2003.
      6. Mark Bebbington and David Harte. The linked stress release model for spatio-temporal seismicity: formulations, procedures and applications. Geophysical Journal International, 154, 925-946, 2003.
      7. Steven C. Jaume and Mark S. Bebbington. Accelerating seismic release from a self-correcting stochastic model, Journal of Geophysical Research, 109, B12301, doi:10.1029/2003JB002867, 2004.
      8. Mark S. Bebbington. Information gains for stress release models. Pure and Applied Geophysics, 162, 2299-2319, DOI: 10.1007/s00024-005-2777-5, 2005.
      9. M. Bebbington and K. Borovkov. Producing Omori’s law from stochastic stress transfer and release. In (Y. Ogata, K.Z. Nanjo and T. Iwata, eds) Proceedings of The 4th International Workshop on Statistical Seismology, Shonan Village, Hayama, Japan 9-13 January 2006, pp. 10-13, Graduate University for Advanced Studies, Japan, 2006.
      10. M. Bebbington. Estimating rate- and state- friction parameters using a two-node stochastic model for aftershocks. Tectonophysics, 457, 71-85, 2008.
      11. M.S.Bebbington, D.S. Harte and S.C. Jaume. Repeated intermittent earthquake cycles in the San Francisco Bay region. Pure and Applied Geophysics, 167, 801-818, 2010.
      12. T. Wang, M. Bebbington and D. Harte. Extracting coseismic signals from groundwater data. Mathematical Geosciences, 43, 799-817, 2011.
      13. T. Wang, M.Bebbington and D. Harte. Markov-modulated Hawkes process with stepwise decay. Annals of the Institute of Statistical Mathematics, 64, 521-544, 2012.
      14. T. Wang and M. Bebbington. Identifying anomalous signals in GPS data using HMMs: An increased likelihood of earthquakes? Computational Statistics and Data Analysis, 58, 27-44, 2013.
      15. T. Wang, J. Zhuang, T. Kato and M. Bebbington. Assessing the potential improvement in short-term earthquake forecasts from incorporation of GPS data. Geophysical Research Letters, 40, 2631-2635, 2013.
      16. M. Bebbington, D. Harte and C. Williams. Cumulative coulomb stress triggering as an explanation for the Canterbury (New Zealand) aftershock sequence: Initial conditions are everything? Pure and Applied Geophysics, 173, 5-20, 2016.
      17. T. Stahl, M.C. Quigley, A. McGill and M.S. Bebbington. Modeling the maximum moment magnitudes of earthquakes on imbricate reverse faults: results from a paleoseismic study of the Fox Peak and Forest Creek faults, South Island, New Zealand. Bulletin of the Seismological Society of America, 106, 2345-2363, 2016.
      18. T. Stahl, M.C. Quigley and M.S. Bebbington. Tectonic geomorphology of the Fox Peak and Forest Creek Faults: slip rates, segmentation, and earthquake magnitudes. New Zealand Journal of Geology and Geophysics, 59, 568-591, 2016.

      Climatology

      1. M.G. Macklin, I.C. Fuller, A.F. Jones and M. Bebbington. New Zealand and UK Holocene flooding demonstrates inter-hemispheric climate asynchrony. Geology, 40, 775-778, 2012.
      2. J.M. Richardson, I.C. Fuller, M.G. Macklin, A.F. Jones, K.A. Holt, N.J. Litchfield and M. Bebbington. Holocene river behaviour in New Zealand: response to regional centennial-scale climate forcing. Quaternary Science Reviews, 69, 8-27, 2013.
      3. T. Stahl, S. Winkler, M. Bebbington, M.C. Quigley, B. Duffy and D. Duke. Schmidt hammer exposure-age dating (SHD) of late Quaternary fluvial terraces in New Zealand. Earth Surface Processes and Landforms, 38, 1838-1850, 2013.

    Operations Research

      Statistical Quality Control

      1. M.S. Bebbington and K. Govindaraju. On Pesotchinsky's scheme for very low fraction nonconforming. Journal of Quality Technology, 30, 248-253, 1998.
      2. Mark Bebbington, Chin-Diew Lai and K. Govindaraju. Continuous sampling plan under limited inspection capacity for Markov dependent production processes, In (R.J. Wilson, S. Osaki and M.J. Faddy, eds.) Proceedings of the First Western Pacific/Third Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, 23-25 September, 1999, pp. 35-44, The University of Queensland, 1999.
      3. K. Govindaraju and M. Bebbington. Combined continuous lot by lot acceptance sampling plan. Journal of Applied Statistics, 27, 725-730, 2000.
      4. M. Bebbington, K. Govindaraju, N. DeSilva and R. Volz. Acceptance sampling and practical issues in procurement inspection of apples. In ASA 2000 Proceedings of the Section on Quality and Productivity, pp. 104-109, American Statistical Association, Alexandria, Virginia, 2000.
      5. Mark Bebbington, Chin-Diew Lai and K. Govindaraju. Continuous sampling plan for Markov dependent production processes under limited inspection capacity. Mathematical and Computer Modelling, 38, 1137-1146, 2003.
      6. L. Zhang, K. Govindaraju, C.D. Lai and M.S. Bebbington. Poisson DEWMA control chart. Communications in Statistics – Simulation and Computation, 32, 1265-1283, 2003.
      7. L. Zhang, K. Govindaraju, M.S. Bebbington and C.D. Lai. On the statistical design of geometric control charts. Quality Technology and Quantitative Management, 1, 233-243, 2004.
      8. L. Zhang, C.D. Lai, K. Govindaraju and M.S. Bebbington. A note on average run lengths of moving average control charts. Economic Quality Control, 19, 23-27, 2004
      9. L. Zhang, M.S. Bebbington, K. Govindaraju and C.D. Lai. Composite EWMA control charts. Communications in Statistics – Simulation and Computation, 33, 1133-1158, 2004.
      10. L. Zhang, M.S. Bebbington, C.D. Lai and K. Govindaraju. On statistical design of the S2 control chart. Communications in Statistics – Theory and Methods, 34, 229-244, 2005.
      11. K. Govindaraju, M.Bebbington and T. Wrathall. Statistical evaluation of the New Zealand Food Safety Authority sampling protocol for imported food. Risk Analysis, 30, 817 – 826, 2010.
      12. K. Govindaraju and M. Bebbington. Consumer’s risk and costs in zero acceptance number sampling. Communications in Statistics - Theory and Methods, 44, 2933-2944, 2015.
      13. K. Govindaraju, M. Bebbington, R. Kissling. Establishment of auto-sampling frequency using a two-state Markov chain model. Chemometrics and Intelligent Laboratory Systems, 164, 26-31, 2017.
      14. K. Govindaraju, M. Bebbington, R. Kissling. Stringent sampling inspection plans using upper envelopes for cell counts. Food Control, 94, 30-37, 2018

      Reliability

      1. M. Bebbington, C.D. Lai and R. Zitikis. Estimating the turning points of the failure rate and mean residual life functions. In (Eds. I. Frenkel, I. Gertsbakh, I. Kabashkin, Z. Laslo, A. Lisnianski) Proceedings of the International Symposium on Stochastic models in Reliability, Safety, Security and Logistics, Beer Sheva, Israel, 15-17 February 2005, pp. 38-41, SCE, Beer Sheva, Israel – TTI, Riga, Latvia, 2005.
      2. M. Bebbington, C.D. Lai and R. Zitikis. Estimating the turning points of the failure rate and mean residual life functions. Communications in Dependability and Quality Management, 8, 11-15, 2005.
      3. M. Bebbington, C.D. Lai and R. Zitikis. Useful periods for lifetime distributions with bathtub shaped hazard rate functions. IEEE Transactions on Reliability, 55, 245-251, 2006.
      4. M. Bebbington, C.D. Lai and R. Zitikis. Optimum burn-in time for a bathtub shaped failure distribution. Methodology and Computing in Applied Probability, 9, 1-20, 2007.
      5. M. Bebbington, C.D. Lai and R. Zitikis. Bathtub curves in reliability and beyond. Australian and New Zealand Journal of Statistics, 49, 251-265, 2007.
      6. M. Bebbington, C.D. Lai and R. Zitikis. Reliability of modules with load-sharing components. Journal of Applied Mathematics and Decision Sciences, doi:10.1155/2007/43565, 18 pages, 2007.
      7. M. Bebbington, C.D. Lai and R. Zitikis. A proof of the shape of the Birnbaum-Saunders hazard rate function. The Mathematical Scientist, 33, 49-56, 2008
      8. M. Bebbington, C.D. Lai and R. Zitikis. Estimating the turning point of a bathtub shaped failure distribution. Journal of Statistical Planning and Inference, 138, 1157-1166, 2008.
      9. M. Bebbington, C.D. Lai and R. Zitikis. Reduction in mean residual life in the presence of a constant competing risk. Applied Stochastic Models in Business and Industry, 24, 51-63, 2008.
      10. M. Bebbington, C.D. Lai and R. Zitikis. Lifetime analysis of incandescent lamps: The Menon-Agrawal model revisited. Reliability and Risk Analysis: Theory and Applications, 1, 97-108, 2008.
      11. M. Bebbington, C.D. Lai, D.N.P. Murthy and R. Zitikis. Modelling N and W shaped hazard rate functions without mixing distributions. Proceedings of the Institution of Mechanical Engineers, Part O, Journal of Risk and Reliability, 223, 59-69, 2009.
      12. M. Bebbington, C.D. Lai and R. Zitikis Balancing burn-in and mission times in environments with catastrophic and repairable failures. Reliability Engineering & System Safety, 94, 1314-1321, 2009.
      13. M. Bebbington, C.D. Lai and R. Zitikis. Life expectancy of a bathtub shaped failure distribution. Statistical Papers, 51, 599-612, 2010.
      14. M. Bebbington, C.D. Lai, D.N.P. Murthy and R. Zitikis. Rational polynomial hazard functions. International Journal of Performability Engineering, 6, 35-52, 2010.
      15. M. Bebbington, C.D. Lai, M. Wellington and R. Zitikis. Discrete bathtub distributions: Mind the step function! In (S. Chukova, J. Hayward and T. Dohi, eds) Proceedings of the 4th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, Wellington, 2-4 December 2010, pp. 57-64, McGraw-Hill, Taiwan, 2010.
      16. C.D. Lai, R. Zitikis and M. Bebbington. Exporting reliability theory to the social sciences. In (S. Chukova, J. Hayward and T. Dohi, eds) Proceedings of the 4th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, Wellington, 2-4 December 2010, pp. 401-408, McGraw-Hill, Taiwan, 2010.
      17. M. Bebbington, C.D. Lai, M. Wellington and R. Zitikis. The discrete additive Weibull distribution: A bathtub shaped hazard for discontinuous failure data. Reliability Engineering and System Safety, 106, 37-44, 2012.

      Telecommunications

      1. M.S. Bebbington, P.K. Pollett and I. Ziedins. Improved fixed point methods for loss networks with linear structure. In (W.J. Lavery, ed.) Proceedings of the 4th International Conference on Telecommunications, Volume 3, pp. 1411-1416, Monash University, Melbourne, Australia, 1997.
      2. M.S. Bebbington, P.K. Pollett and I. Ziedins. Two-link approximation schemes for linear loss networks without controls. Journal of the Korean Mathematical Society, 35, 539-557, 1998.
      3. Mark Bebbington, Phil Pollett and Ilze Ziedins. Product form approximations for highly linear loss networks with trunk reservation, In (R.J. Wilson, S. Osaki and M.J. Faddy, eds.) Proceedings of the First Western Pacific/Third Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, 23-25 September, 1999, pp. 45-54, The University of Queensland, 1999.
      4. M.S. Bebbington, P.K. Pollett and I. Ziedins. Two-link approximation schemes for loss networks with linear structure and trunk reservation. Telecommunications Systems, 19, 187-207, 2002.
      5. Mark Bebbington, Phil Pollett and Ilze Ziedins. Product form approximations for highly linear loss networks with trunk reservation. Mathematical and Computer Modelling, 38, 1147-1156, 2003.
      6. K.D.R. Jagath-Kumara and Mark Bebbington. Burst-error characteristics of digital bit streams. In (Eds. Taduesz A Wysocki, Beta J Wysocki) DSP for Communication Systems & WITSP, Proceedings of the 7th International Symposium on Digital Signal Processing and Communications Systems, Coolangatta, Australia, 8-11 December 2003, CD-ROM, pp. 385-387, University of Wollongong, 2003.
      7. K.D.R. Jagath-Kumara and Mark Bebbington. Error content in frames transmitted over burst-error channels. IEEE Transactions on Wireless Communications, 4, 2533-2539, 2005.
      8. K.D.R. Jagath-Kumara and Mark Bebbington. A hybrid-ARQ Scheme with codeword combining in random and burst error channels. In Proceedings of the First International Conference on Industrial and Information Systems (ICIIS 2006), Peradeniya, Sri Lanka, 8-11 August, 2006, 6 pp., Faculty of Engineering, University of Peradeniya, 2006.
      9. K.D.R. Jagath-Kumara and Mark Bebbington. Performance optimization of hybrid-ARQ schemes with codeword combining using physical layer modelling. Australian Journal of Electrical & Electronic Engineering, 5, 185-200, 2009.

      Miscellaneous

      1. Elettra Agliardi and Mark Bebbington. Self-reinforcing mechanisms and interactive behaviour. Economics Letters, 46, 281-287, 1994.
      2. M.S. Bebbington. Bistability and metastability in a stochastic system with positive feedback. In (J. Falkner, D. Timmer, eds.) Proceedings of the 45th Annual Conference of the New Zealand Statistical Association, pp. 354-359, 1994.
      3. E. Agliardi and M.S. Bebbington. Self-reinforcing mechanisms and market information. European Journal of Operations Research, 96, 444-454, 1997.
      4. Mary-Anne Hays and Mark Bebbington. The system of classification at the OF&LC, New Zealand: A simulation study, In (E. Kozan, ed.) Proceedings of the 15th National Conference of the Australian Society for Operations Research, 4-7 July 1999, Volume 1, pp. 543-559, ASOR, Brisbane, 1999.
      5. Mary-Anne Hays and Mark Bebbington. Simulation in public sector management: A case study. International Transactions in Operations Research, 7, 465-486, 2000.

    Mathematical Statistics

      Probability

      1. M. Bebbington, P. Pollett and X. Zheng. Dual constructions for pure-jump Markov processes. Markov Processes and Related Fields, 1, 513-558, 1995.
      2. M.S. Bebbington and C.D. Lai. A generalised negative binomial and applications. Communications in Statistics - Theory and Methods, 27, 2515-2533, 1998.
      3. Mark Bebbington and Ricardas Zitikis. A robust heuristic estimator for the period of a Poisson intensity function. Methodology and Computing in Applied Probability, 6, 441-462, 2004
      4. M. Bebbington, C.D. Lai and R. Zitikis. A flexible Weibull extension. Reliability Engineering and System Safety, 92, 719-726, 2007.
      5. M. Bebbington, Y. Davydov and R. Zitikis. Estimating the renewal function when the second moment is infinite. Stochastic Models, 23, 27-48, 2007.
      6. T. Wang, M.S. Bebbington and D.S. Harte. A comparative study of coherence, mutual information and cross-intensity models. International Journal of Information & Systems Sciences, 6, 49-60, 2010.

      Survival Analysis

      1. M. Bebbington, C.D. Lai and R. Zitikis. Changing phases of human life expectancy: Can we find them mathematically? In Proceedings of the WIDER Conference on Advancing Health Equity, Helsinki, Finland, 29-30 September 2006, http://www.wider.unu.edu/conference/conference-2006-2/conference-2006-2-papers/zitikis-210706.pdf, World Institute for Development Economics Research, Helsinki, 2006.
      2. M. Bebbington, C.D. Lai and R. Zitikis. Modeling human mortality using mixtures of bath-tub shaped failure distributions. Journal of Theoretical Biology, 245, 528-538, 2007.
      3. M. Bebbington, M. Goddard, C.D. Lai and R. Zitikis. Identifying health inequalities between Maori and Non-Maori using mortality tables. Kotuitui: New Zealand Journal of Social Sciences Online, 4, 103-114, 2009.
      4. M. Bebbington, C.D. Lai and R. Zitikis. Modelling deceleration in senescent mortality. Mathematical Population Studies, 18, 18-37, 2011.
      5. R. Green, M. Bebbington. A longitudinal analysis of infant and senescent mortality using mixture models. Journal of Applied Statistics, 40, 1907-1920, 2013.
      6. M. Bebbington, R. Green, C.D. Lai and R. Zitikis. Beyond the Gompertz law: Exploring the late-life mortality deceleration phenomenon. Scandinavian Actuarial Journal, 2014, 189-207, 2014.

      Biostatistics

      1. M. Bebbington, C.D. Lai and R. Zitikis. Modelling lactation curves using New Zealand data. In (Hoang Pham, ed.) Proceedings of the ISSAT International Conference on Modeling of Complex Systems and Environments, July 16-18, 2007, Ho Chi Minh City, Vietnam, pp. 11-15, ISSAT, Piscataway, NJ, 2007.
      2. M. Bebbington, A. Hall, C.D. Lai and R. Zitikis. Dynamics and phases of kiwifruit (Actinidia deliciosa) growth curves. New Zealand Journal of Crop and Horticultural Science, 37, 179-188, 2009.
      3. M. Bebbington, C.D. Lai and R. Zitikis. Modeling lactation curves: Classical parametric models re-examined and modified. Journal of Applied Statistics, 36, 121-133, 2009.
      4. K.A. Holt and M.S. Bebbington. Separating morphologically similar pollen types using basic shape features from digital images: a preliminary study. Applications in Plant Sciences, 2, 1400032, 2014.

      Computation

      1. M.S. Bebbington. Evaluating quasistationary behaviour of epidemic models by means of parallel aggregation/disaggregation. In (P. Binning, H. Bridgman, B. Williams, eds.) Proceedings of the International Congress on Modelling and Simulation, Volume 2, pp. 203-208, Modelling and Simulation Soc. of Australia, 1995.
      2. D.E. Stewart and M.S. Bebbington. An iterative aggregation/disaggregation procedure for modelling the long-term behaviour of continuous-time evanescent random processes. Journal of Statistical Computation and Simulation, 56, 77-95, 1996.
      3. M.S. Bebbington. Parallel implementation of an aggregation/disaggregation method for evaluating quasi-stationary behaviour in continuous-time Markov chains. Parallel Computing, 23, 1545-1559, 1997.

      Miscellaneous

      1. M. Bebbington, M. Voia and R. Zitikis. Analyzing treatment effects on distributions with complex structure. In Proceedings of The 28th Annual Meeting of the Canadian Econometrics Study Group, Toronto 21-23 October 2011. http://www.ryerson.ca/cesg2011/b-v-z.pdf.
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