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Emeritus Professor William Dunsmuir

Emeritus Professor William Dunsmuir

Emeritus Professor
Science
School of Mathematics & Statistics

Professor of Statistics at the University of New South Wales (1993-2019)andHead of the Department of Statistics (1993-2000; 2003-2005, 2007). Previous academic positions:the Massachusetts Institute of Technology (1976-1980), The Australian National University (1980-1982), The Australian Graduate School of Management (1987-1988), Bond University (1988-1993) and the University of Minnesota (2001-2002). Previousconsulting management positions: Siromath Pty Ltd (1982-1987) and Bond University.

Education

  • Ph.D. (Statistics) 1977, Australian National University
  • B.Sc.(Hons) 1973, La Trobe University
  • Fellowship Diploma (Mathematics) 1971, R.M.I.T. University.

Professional affiliations:

I am a member of several professional associations: American Statistical Association (Fellow), Bernoulli Society, Institute of Mathematical Statistics, International Statistical Institute (Elected 1993), Statistical Society of Australia.

Consulting to Industry, Commerce and Government:

Commercial consulting has proved invaluable in informing my teaching and research in statistical methods. I developed substantial experience as a statistical consultant through five years full time as a consulting manager and consultant for Siromath Pty Ltd, a mathematical, statistical and computing consultancy established by CSIRO in 1980. Additionally while at Bond University I was Director of the Centre for Quality Management and Decision Analysis for five years. Since being at UNSW I have provided consulting and contract research activities on major projects including more recently on modelling policy impacts on criminal charge and conviction rates, impacts of government education programs on prescription drug utilization, time series and forecasting and assessment of prudential regulation risk management. Additionally, I have provided advice to various leading law firms and their clients on the use of statistical analysis in legal matters.

Awards:

  • Honorary Life Member, Statistical Society of Australia (2016).
  • Service Award, Statistical Society of Australia (2012).
  • Fellow: American Statistical Association (2004). Citation: For fundamental contributions to the theory and practice of time series analysis and spatio-temporal modelling, for excellence in teaching, administration and consulting and for service to the profession.
  • The Tjalling C. Koopmans Econometric Theory Prize with Richard A. Davis, 1998, for the paper “Maximum Likelihood Estimation for MA(1) Processes with a Root on or Near the Unit Circle,” Econometric Theory, Vol 12, 1996, pages 1–29.
  • D.M. Myers University Medal, La Trobe University, 1973.
Phone
9385 7111
Location
School of Mathematics & Statistics University of New South Wales Sydney, NSW, 2052 The Red Centre Room 2057
  • Book Chapters | 2019
    Walter SR; Dunsmuir WTM; Raban MZ; Westbrook JI, 2019, 'Understanding Clinical Workflow Through Direct Continuous Observation: Addressing the Unique Statistical Challenges', in Zheng K; Westbrook J; Kannampallil T; Patel V (ed.), COGNITIVE INFORMATICS Reengineering Clinical Workflow for More Efficient and, Springer, pp. 191 - 210,
    Book Chapters | 2016
    Davis RA; Dunsmuir WTM, 2016, 'State Space Models for Count Time Series', in Davis RA; Holan SH; Lund R; Ravishankar N (ed.), Handbook of Discrete-Valued Time Series, Chapman and Hall/CRC, pp. 121 - 144
    Book Chapters | 2016
    Dunsmuir WTM, 2016, 'Generalized Linear Autoregressive Moving Average Models', in Davis RA; Holan SH; Lund R; Ravishanker N (ed.), Handbook of Discrete-Valued Time Series, Chapman and Hall/CRC, pp. 51 - 76
    Book Chapters | 1999
    Davis RA; Dunsmuir WTM; Wang Y, 1999, 'Modelling Time Series of Count Data', in Ghosh S (ed.), Asymptotics, Nonparametrics and Time Series, Marcel Dekker, New York, pp. 63 - 113
    Book Chapters | 1999
    Schubert E; Dunsmuir WTM, 1999, 'Regression modelling continuous data in music psychology', in Yi SW (ed.), Music, Mind, and Science, Seoul National University Press, Seoul, pp. 298 - 352
    Book Chapters | 1996
    Davis RA; Chen M; Dunsmuir WTM, 1996, 'Inference for seasonal moving average models with a unit root', in Robinson, P.M. ; Rosenblatt M (ed.), Athens Conference on Applied Probability and Time Series Analysis, Springer New York, pp. 160 - 176,
    Book Chapters | 1984
    Dunsmuir W, 1984, 'Large sample properties of estimation in time series observed at unequally spaced times', in Parzen E (ed.), Time Series Analysis of Irregularly Observed Data: Proceedings of a Symposium held at Texas A & M University, College Station, Texas February 10-13, 1983, Springer New York, pp. 58 - 77,
    Book Chapters | 1984
    Dunsmuir W, 1984, 'Time series regression with periodically correlated errors and missing data', in Parzen E (ed.), Time Series Analysis of Irregularly Observed Data: Proceedings of a Symposium held at Texas A & M University, College Station, Texas February 10–13, 1983, Springer New York, pp. 78 - 107,
  • Journal articles | 2024
    Richards KA; Dunsmuir WTM; Peters GW, 2024, 'Score test for marks in Hawkes processes', International Journal of Data Science and Analytics,
    Journal articles | 2023
    Kwan J; Chen F; Dunsmuir W, 2023, 'Alternative asymptotic inference theory for a non-stationary Hawkes process', Journal of Statistical Planning and Inference,
    Journal articles | 2023
    Wee D; Chen F; Dunsmuir W, 2023, 'ESTIMATING GARCH(1,1) IN THE PRESENCE OF MISSING DATA', Annals of Applied Statistics,
    Journal articles | 2022
    Wee DCH; Chen F; Dunsmuir WTM, 2022, 'Likelihood inference for Markov switching GARCH(1,1) models using sequential Monte Carlo', Econometrics and Statistics, 21, pp. 50 - 68,
    Journal articles | 2021
    Clinet S; Dunsmuir WTM; Peters GW; Richards KA, 2021, 'Asymptotic distribution of the score test for detecting marks in hawkes processes', Statistical Inference for Stochastic Processes, 24, pp. 635 - 668,
    Journal articles | 2020
    Walter SR; Brown BM; Dunsmuir WTM, 2020, 'Detecting changes in task length due to task-switching in the presence of repeated length-biased sampling', Australian and New Zealand Journal of Statistics, 62, pp. 133 - 152,
    Journal articles | 2019
    Walter SR; Dunsmuir WTM; Westbrook JI, 2019, 'Inter-observer agreement and reliability assessment for observational studies of clinical work', Journal of Biomedical Informatics, 100, pp. 103317,
    Journal articles | 2019
    Wee D; Chen F; Dunsmuir W, 2019, 'Likelihood inference for a COGARCH process using sequential Monte Carlo', Journal Of Financial Econometrics, 17, pp. 229 - 253,
    Journal articles | 2017
    Dunsmuir W; He J, 2017, 'Marginal Estimation of Parameter Driven Binomial Time Series Models', Journal of Time Series Analysis, 38, pp. 120 - 144,
    Journal articles | 2017
    Walter SR; Raban MZ; Dunsmuir WTM; Douglas HE; Westbrook JI, 2017, 'Emergency doctors' strategies to manage competing workload demands in an interruptive environment: An observational workflow time study', Applied Ergonomics, 58, pp. 454 - 460,
    Journal articles | 2016
    Dean RT; Dunsmuir WTM, 2016, 'Dangers and uses of cross-correlation in analyzing time series in perception, performance, movement, and neuroscience: The importance of constructing transfer function autoregressive models', Behavior Research Methods, 48, pp. 783 - 802,
    Journal articles | 2015
    Dunsmuir WTM; Scott DJ, 2015, 'The glarma Package for Observation-Driven Time Series Regression of Counts', Journal of Statistical Software, 67, pp. 1 - 36,
    Journal articles | 2015
    Richards K-A; Peters GW; Dunsmuir WTM, 2015, 'Heavy-tailed features and dependence in limit order book volume profiles in futures markets', International Journal of Financial Engineering, 2,
    Journal articles | 2015
    Walter SR; Dunsmuir WTM; Westbrook JI, 2015, 'Studying interruptions and multitasking in situ: The untapped potential of quantitative observational studies', International Journal of Human Computer Studies, 79, pp. 118 - 125,
    Journal articles | 2014
    Deana RT; Bailes F; Dunsmuir WTM, 2014, 'Shared and distinct mechanisms of individual and expertise-group perception of expressed arousal in four works', Journal of Mathematics and Music, 8, pp. 207 - 223,
    Journal articles | 2014
    Deana RT; Bailes F; Dunsmuir WTM, 2014, 'Time series analysis of real-time music perception: Approaches to the assessment of individual and expertise differences in perception of expressed affect', Journal of Mathematics and Music, 8, pp. 183 - 205,
    Journal articles | 2013
    Walter SR; Li L; Dunsmuir WTM; Westbrook JI, 2013, 'Managing competing demands through task-switching and multitasking: a multi-setting observational study of 200 clinicians over 1000 hours', BMJ quality & safety, 2013,
    Journal articles | 2011
    Turner RM; Hayen A; Dunsmuir WTM; Finch C, 2011, 'Air temperature and the incidence of fall-related hip fracture hospitalisations in older people', Osteoporosis International, 22, pp. 1183 - 1189,
    Journal articles | 2010
    Westbrook JI; Coiera E; Dunsmuir WTM; Brown B; Kelk N; Paoloni R; Tran C, 2010, 'The impact of interruptions on clinical task completion', Quality and Safety in Health Care, 19, pp. 284 - 289
    Journal articles | 2010
    Westbrook JI; Woods A; Rob MI; Dunsmuir WTM; Day RO, 2010, 'Association of interruptions with an increased risk and severity of medication administration errors', Archives of Internal Medicine, 170, pp. 683 - 690,
    Journal articles | 2009
    Turner RM; Hayen A; Dunsmuir WT; Finch CF, 2009, 'Spatial temporal modeling of hospitalizations for fall-related hip fractures in older people', Osteoporosis International, 20, pp. 1479 - 1485
    Journal articles | 2008
    Kuo FY; Dunsmuir WT; Sloan IH; Wand MP; Womersley RS, 2008, 'Quasi-Monte Carlo for highly structured generalised response models', Methodology and Computing in Applied Probability, 10, pp. 239 - 275
    Journal articles | 2008
    Lujic S; Finch CF; Boufous S; Hayen A; Dunsmuir WTM, 2008, 'How comparable are road traffic crash cases in hospital admissions data and police records? An examination of data linkage rates', Australian and New Zealand Journal of Public Health, 32, pp. 28 - 33,
    Journal articles | 2007
    Brown MA; Mackenzie C; Dunsmuir WTM; Roberts L; Ikin K; Matthews J; Mangos G; Davis G, 2007, 'Can we predict recurrence of pre-eclampsia or gestational hypertension?', BJOG: An International Journal of Obstetrics & Gynaecology, 114, pp. 984 - 993,
    Journal articles | 2007
    Cameron B ; Galbraith S ; Zhang Y ; Davenport T ; Vollmer Conna U ; Wakefield D ; Hickie I ; Dunsmuir WTM; Whistler T ; Vernon S ; Reeves W ; Lloyd A , 2007, 'Gene expression correlates of postinfective fatigue syndrome after infectious mononucleosis', The Journal of Infectious Diseases, 196, pp. 56 - 66,
    Journal articles | 2006
    Britt H; Toomey TL; Dunsmuir WTM; Wagenaar AC, 2006, 'Propensity for and correlates of alcohol sales to underage youth', Journal of Alcohol and Drug Education, 50, pp. 25 - 42,
    Journal articles | 2006
    Brown MA; Mackenzie C; Dunsmuir WTM; Roberts L; Ikin K; Matthews J; Mangos G; Davis GK, 2006, 'Can we predict the recurrence of pre-eclampsia or gestational hypertension?', Hypertension in Pregnancy, 25, pp. 179 - 179
    Journal articles | 2006
    Lane CA; Brown MA; Dunsmuir WT; Kelly JJ; Mangos G, 2006, 'Can spot urine protein/creatinine ratio replace 24 h urine protein in usual clinical nephrology?', Nephrology, 11, pp. 245 - 249
    Journal articles | 2006
    Murphy KR; Ruiz G; Dunsmuir WT; Waite TD, 2006, 'Optimized parameters for fluorescence-based verification of ballast water exchange by ships', Environmental Science and Technology, 40, pp. 2357 - 2362,
    Journal articles | 2005
    Cripps EJ; Nott DJ; Dunsmuir WT; Wikle C, 2005, 'Space-time modelling of Sydney Harbour winds', Australian and New Zealand Journal of Statistics, 47, pp. 3 - 17
    Journal articles | 2005
    Davis RA; Dunsmuir WT; Streett SB, 2005, 'Maximum likelihood estimation for an observation driven model for Poisson counts', Methodology and Computing in Applied Probability, 7, pp. 149 - 159
    Journal articles | 2004
    Bernat D; Dunsmuir WT; Wagenaar AC, 2004, 'Effects of lowering the legal BAC to 0.08 on single-vehicle-nighttime fatal traffic crashes in 19 jurisdictions', Accident Analysis and Prevention, 36, pp. 1089 - 1097
    Journal articles | 2004
    Miller B; Kassenborg H; Dunsmuir WT; Griffith J; Hadidi M; Nordin JD; Danila R, 2004, 'Syndromic surveillance for influenzalike illness in an ambulatory care network', Emerging Infectious Diseases, 10, pp. 1806 - 1811,
    Journal articles | 2003
    Connor GJ; Spark E; Dunsmuir WTM, 2003, 'Statistical forecasting techniques to describe the surface winds in Sydney Harbour', Australian Meteorological Magazine, 52, pp. 101 - 115
    Journal articles | 2003
    Cripps EJ; Dunsmuir WTM, 2003, 'Modeling the variability of Sydney Harbor wind measurements', Journal of Applied Meteorology, 42, pp. 1131 - 1138, http://dx.doi.org/10.1175/1520-0450(2003)042<1131:MTVOSH>2.0.CO;2
    Journal articles | 2003
    Davis RA; Dunsmuir WTM; Streett SB, 2003, 'Observation-driven models for Poisson counts', Biometrika, 90, pp. 777 - 790,
    Journal articles | 2003
    Dunsmuir WTM; Spark E; Chen S; Kim S, 2003, 'Statistical prediction of sea breezes in Sydney Harbour', Australian Meteorological Magazine, 52, pp. 117 - 126
    Journal articles | 2003
    Leonte D; Nott DJ; Dunsmuir WTM, 2003, 'Smoothing and change point detection for gamma ray count data', Mathematical Geology, 35, pp. 175 - 194,
    Journal articles | 2002
    Dunsmuir WTM; Meyn SP; Roberts G, 2002, 'Obituary: Richard Lewis Tweedie', Journal of Applied Probability, 39, pp. 441 - 454,
    Journal articles | 2002
    Nott DJ; Dunsmuir WT, 2002, 'Estimation of nonstationary spatial covariance structure', Biometrika, 89, pp. 819 - 829
    Journal articles | 2001
    Nott DJ; Dunsmuir WT; Kohn R; Woodcock F, 2001, 'Statistical correction of a deterministic numerical weather prediction model', Journal of the American Statistical Association, pp. 794 - 804
    Journal articles | 2000
    Dunsmuir WTM; Wang Y; Davis RA, 2000, 'On autocorrelation in a Poisson regression model', Biometrika, 87, pp. 491 - 505,
    Journal articles | 2000
    Dunsmuir WTM, 2000, 'Modeling Longitudinal and Spatially Correlated Data: Methods, Applications and Future Directions. T. G. Gregoire, D. R. Brillinger, P. J. Diggle, E. Russek-Cohen, W. G. Warren and R. D. Wolfinger (eds). Lecture Notes in Statistics, vol 122, Springer-Verlag, New York, 1997. No. of pages: x+402. Price: �30.50. ISBN 0-387-98216-7', Statistics in Medicine, 19, pp. 1258 - 1260, http://dx.doi.org/10.1002/(sici)1097-0258(20000515)19:9<1258::aid-sim399>3.0.co;2-s
    Journal articles | 1998
    Huang D; Dunsmuir WT, 1998, 'Computing joint distributions of 2D moving median filters with applications to detection of edges', IEEE Transactions on Pattern Analysis and Machine Intelligence, 20, pp. 340 - 343
    Journal articles | 1997
    Davis RA; Dunsmuir WTM, 1997, 'Least absolute deviation estimation for regression with ARMA errors', Journal of Theoretical Probability, 10, pp. 481 - 497,
    Journal articles | 1996
    Davis RA; Dunsmuir WTM, 1996, 'Maximum likelihood estimation for ma(1) processes with root on or near the unit circle', Econometric Theory, 12, pp. 1 - 29,
    Journal articles | 1996
    Dunsmuir WTM; Scott DJ; Wang Q, 1996, 'The distribution of the weighted moving median of a sequence of iid observations', Communications in Statistics-Simulation and Computation, 25, pp. 1015 - 1029
    Journal articles | 1995
    Breidt FJ; Dunsmuir WTM; Davis RA, 1995, 'Improved bootstrap forecast intervals for autoregressions', Journal of Time Series Analysis, 16, pp. 177 - 200,
    Journal articles | 1995
    Davis R; Chen M; Dunsmuir WTM, 1995, 'Inference for a MA(1) process with a root on or near the unit circle', Probability and Mathematical Statistics, 15, pp. 227 - 242,
    Journal articles | 1993
    Dunsmuir WTM, 1993, 'Least absolute deviation estimation of stationary time series models', European Journal of Operational Research, 67, pp. 272 - 277
    Journal articles | 1992
    Breidt FJ; Davis RA; Dunsmuir WTM, 1992, 'On backcasting in linear time series models', New Directions in Time Series Analysis, 45, pp. 25 - 40
    Journal articles | 1992
    Dunsmuir WTM, 1992, 'A simulation study of l1: estimation of a seasonal moving average time series model', Communications in Statistics-Simulation and Computation, 21, pp. 519 - 531
    Journal articles | 1991
    Dunsmuir W; Spencer NM, 1991, 'Strong consistency and asymptotic normality of /1 estimates of the autoregressive moving-average model', Journal of Time Series Analysis, 12, pp. 95 - 104,
    Journal articles | 1991
    Dunsmuir WTM; Phillips DM, 1991, 'Modelling of annual variation of tropospheric moisture in the Australian region from radiosonde and satellite data', Australian Meteorological Magazine, 39, pp. 87 - 94
    Journal articles | 1990
    Dunsmuir WTM; Phillips DM, 1990, 'Modelling of temporal variation of atmospheric moisture at surface level in the Australian region', Australian Meteorological Magazine, 38, pp. 181 - 9
    Journal articles | 1989
    Dunsmuir WTM; Snyder RN, 1989, 'Control of inventories with intermittent demand', European Journal of Operational Research, 40, pp. 16 - 21
    Journal articles | 1989
    Dunsmuir WTM; Tweedie R; Flack L; Mengersen K, 1989, 'Modelling of transitions between employment states for young Australians', Australian Journal of Statistics, 31, pp. 165 - 196
    Journal articles | 1983
    Dunsmuir W, 1983, 'A central limit theorem for estimation in Gaussian stationary time series observed at unequally spaced times', Stochastic Processes and their Applications, 14, pp. 279 - 295
    Journal articles | 1981
    Dunsmuir WTM; Robinson PM, 1981, 'Asymptotic theory for time series containing missing and amplitude modulated observations', Sankhya Series A, 43, pp. 260 - 281, url:%20http://www.jstor.org/stable/25050279
    Journal articles | 1981
    Dunsmuir WTM; Robinson PM, 1981, 'Estimation of time series models in the presence of missing data', Journal of the American Statistical Association, 76, pp. 560 - 568,
    Journal articles | 1981
    Dunsmuir WTM, 1981, 'Estimation of periodically varying means and standard deviations in time series data', Journal of Time Series Analysis, 2, pp. 129 - 153,
    Journal articles | 1981
    Robinson P; Dunsmuir WTM, 1981, 'Parametric estimators for stationary time series with missing observations', Advances in applied probability, 13, pp. 129 - 146,
    Journal articles | 1980
    Hannan EJ; Dunsmuir WTM; Deistler M, 1980, 'Estimation of vector ARMAX models', Journal of Multivariate Analysis, 10, pp. 275 - 295
    Journal articles | 1979
    Dunsmuir W, 1979, 'A central limit theorem for parameter estimation in stationary vector time series and its application to models for a signal observed with noise', The Annals of Statistics, pp. 490 - 506
    Journal articles | 1978
    Deistler M; Dunsmuir WTM; Hannan EJ, 1978, 'Vector linear time series models: corrections and extensions', Advances in Applied Probability, pp. 360 - 372,
    Journal articles | 1976
    Dunsmuir W; Hannan EJ, 1976, 'Vector linear time series models', Advances in Applied Probability, pp. 339 - 364,
  • Working Papers | 2016
    Dunsmuir WTM; He JY, 2016, Detecting Serial Dependence in Binomial Time Series II: Observation Driven Models, ,
    Working Papers | 2016
    Dunsmuir WTM; He JY, 2016, Testing for Serial Dependence in Binomial Time Series I: Parameter Driven Models, ,
    Working Papers | 2016
    Dunsmuir WTM; McKendry C; Dean RT, 2016, Modelling discrete valued cross sectional time series with observation driven models, ,
  • Preprints | 2024
    Kwan T-KJ; Chen F; Dunsmuir W, 2024, Likelihood inference of the non-stationary Hawkes process with non-exponential kernel,
    Preprints | 2024
    Richards K-A; Dunsmuir WTM; Peters GW, 2024, Score Test for Marks in Hawkes Processes,
    Preprints | 2019
    Clinet S; Dunsmuir WTM; Peters GW; Richards K-A, 2019, Asymptotic Distribution of the Score Test for Detecting Marks in Hawkes Processes,
    Conference Papers | 2016
    Walter SR; Dunsmuir WT; Westbrook JI, 2016, 'Assessing the effect of interruptive events on task completion time: a multi-site study', Toulouse, France, presented at HEPS 2016 Healthcare and Society: new challenges, new opportunities., Toulouse, France, 05 October 2016 - 07 October 2016
    Software / Code | 2014
    Dunsmuir WTM; Scott DJ; Li C, 2014, glarma: Generalized Linear Autoregressive Moving Average Models. R package version 1.3-0, CRAN archive, R package, Published: 2014, Software / Code
    Preprints | 2012
    Richards K-A; Peters GW; Dunsmuir W, 2012, Heavy-Tailed Features and Empirical Analysis of the Limit Order Book Volume Profiles in Futures Markets,
    Conference Papers | 2012
    Westbrook J; Creswick NJ; Duffield CM; Dunsmuir WTM, 2012, 'Changes in nurses' work associated with computerised information systems: Opportunities for international comparative studies using the revised Work Observation Method By Activity Timing (WOMBAT)', in Proceedings of the 11th International Congress on Nursing Informatics, American Medical Informatics Association, Bethesda, USA, pp. 448 - 452, presented at 11th International Congress on Nursing Informatics, Montreal, Canada, 23 June 2012 - 27 June 2012,
    Conference Papers | 2004
    Dunsmuir WTM; Yeung JC; Liu X, 2004, 'Extensions to observation driven models for time series of counts', in de Silva BM; Mukhopadhyay, N (ed.), Proceedings of the International Sri Lankan Statistical Conference: Visions of Futuristic Methodologies,, International Sri Lankan Statistical Conference: Visions of Futuristic Methodologies, Postgraduate Institute of Science, Sri Lanka, presented at International Sri Lankan Statistical Conference: Visions of Futuristic Methodologies, Postgraduate Institute of Science, Sri Lanka, 28 December 2004 - 30 December 2004
    Conference Papers | 2001
    Nott DJ; Dunsmuir WTM, 2001, 'Estimation of non-stationary spatial covariance structure', in Mardia KV; Aykroyd RG (ed.), Proceedings in Functional and Spatial Data Analysis, Leeds, UK, presented at Leeds Conference on Functional and Spatial Data Analysis, Leeds, UK, -
    Conference Papers | 1997
    Zou Y; Dunsmuir WTM, 1997, 'Edge detection using generalized root signals of 2-d median filtering', in Image Processing, International Conference on, IEEE Computer Society, pp. 417 - 417, IEEE Computer Society
    Conference Papers | 1997
    Zou Y; Dunsmuir WTM, 1997, 'Generalized max/median filtering', in Proceedings of International Conference on Image Processing, Santa Barbara CA, pp. 428 - 431, presented at International Conference on Image Processing, Santa Barbara CA, 26 October 1997 - 29 October 1997
    Conference Papers | 1980
    Dunsmuir WTM, 1980, 'Estimation for stationary time series when data are irregularly spaced or missing', in Findley DF (ed.), Applied time series analysis II : proceedings of the Second Applied Time Series Symposium held in Tulsa, Oklahoma, March 3-5, 1980, New York : Academic Press, Tulsa, OK, pp. 609 - 650, presented at Second Applied Time Series Symposium, Tulsa, OK, 03 March 1980 - 05 March 1980
    Preprints |
    Clinet S; Dunsmuir W; Peters G; Richards K-A, Asymptotic Distribution of the Score Test for Detecting Marks in Hawkes Processes,
    Preprints |
    Richards K-A; Dunsmuir W; Peters GW, Score Test for Marks in Hawkes Processes,
    Preprints |
    Richards K-A; Dunsmuir W; Peters GW, Supplementary Materials for 'Score Test for Marks in Hawkes Processes',
    Preprints |
    Richards K-A; Peters GW; Dunsmuir WTM, Heavy-Tailed Features and Empirical Analysis of the Limit Order Book Volume Profiles in Futures Markets,

Inference for Hawkes processes with challenging data.ARC Discovery Grant 2024-2026 --Chief Investigators (University of NSW) Feng Chen, Thomas Stindl, William Dunsmuir. Partner Investigator (The Institute of Statistical Mathematics, Japan) Jiancang Zhuang.

My core research has been in statistical time series analysis with excursions into spatio-temporal processes, longitudinal data analysis and applied statistics in a range of disciplines.

Currently my research is concerned with:

  • Methods and models for discrete valued time series.
  • Self exciting point processes.

Research in Detail

My theory and methods research has been into asymptotic theory for time series model estimation, methods for missing data in time series analysis, robust and non-parametric estimation in time series and image analysis, modelling seasonally varying time series, Bayesian methods for hierarchical spatial modelling and, more recently, modelling nonlinear non-Gaussian time series particularly focussed on discrete valued time series and, most recently, inference for Hawkes self-exciting point processes.

I have also engaged in substantial applied research with research collaborators in a variety of disciplines including public health, medical research and weather and environmental modelling.