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Richard Tweedie: Publications

Monographs
Published Papers
Accepted for Publication
Submitted For Publication

Monographs Published Papers 1971
  • Stationary measures for random walk on a half line. Z. Wahrscheinlichkeitstheorie verw. Geb. 20 (1971) 28-46.
  • Truncation procedures for non-negative matrices. J. Appl. Prob. 8 (1971) 311-320.
1973
  • The calculation of limit probabilities for denumerable Markov processes from infinitesimal properties. J. Appl. Prob. 10 (1973) 84-99.
1974
  • A representation for invariant measures for transient Markov chains. Z. Wahrscheinlichkeitstheorie verw. Geb. 28 (1974) 99-112.
  • Some ergodic properties of the Feller minimal process. Quart. J. Math. (Oxford) (2) 25 (1974) 485-495.
  • R-theory for Markov chains on a general state space. I: Solidarity properties and R-recurrent chains. Ann. Probability 2 (1974) 840-864.
  • R-theory for Markov chains on a general state space. II: r-subinvariant measures for r-transient chains. Ann. Probability 2 (1974) 865-878.
  • Quasi-stationary distributions for Markov chains on a general state space. J. Appl. Prob. 11 (1974) 726-741.
1975
  • Truncation approximation of the limit probabilities for denumerable semi-Markov processes. J. Appl. Prob. 12 (1975) 161-163.
  • R-theory for Markov chains on a topological space I (with D. B. Pollard). J. Lond. Math. Soc. 10 (1975) 389-400.
  • Sufficient conditions for regularity, recurrence, and ergodicity of Markov processes. Math. Proc. Camb. Phil. Soc. 78 (1975) 125-136.
  • Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space. Stoch. Proc. Appl. 3 (1975) 385-403.
  • The robustness of ergodicity and recurrence of Markov chains under perturbations of the transition probabilities. J. Appl. Prob. 12 (1975) 744-752.
  • A relation between positive recurrence and mean drift for Markov chains. Austral. J. Statist. 17 (1975) 96-102.
1976
  • The settlement of Polynesia by CYBER 76 (with I. W. Saunders). Math. Scientist 1 (1976) 15-26
  • R-theory for Markov chains on a topological space II (with D.B. Pollard), Z. Wahrscheinlichkeitstheorie verw. Geb. 34 (1976) 269-278
  • Criteria for classifying general Markov chains. Adv. Appl. Prob. 8 (1976) 737-771
  • Small population isolates: a simulation study (with N. and I. W. Saunders). J. Polynesian Society 85 (1976) 307-326
  • Geometric ergodicity for a class of Markov chains (with E. Nummelin). Ann. Sci. Univ. de Clermont 61 (1976) 145-153
1977
  • Modes of convergence of Markov chain transition probabilities. J. Math. Anal. Appl. 60 (1977) 280-291
  • Hitting times for Markov chains with application to state dependent queues. Bull. Austral. Math. Soc. 17 (1977) 97-108
1978
  • First passage times in jump-linear processes (with M. Westcott). Stoch. Proc. Appln. 7 (1978) 191-204
  • Geometric ergodicity and R-positivity for general Markov chains (with E. Nummelin). Ann. Probability 6 (1978) 404-420
  • Criteria for strong ergodicity of Markov Chains (with D. Isaacson). J. Appl. Prob. 15 (1978) 87-95.
  • Uniform limit theorems for non-singular renewal and Markov renewal processes (with E. Arjas and E. Nummelin). J. Appl. Prob. 15 (1978) 112-125
  • Techniques for establishing ergodic properties of continuous-valued Markov chains (with D. B. Pollard and G. M. Laslett). Nav. Res. Log. Quart. 25 (1978) 455-472
1979
  • Markov chains with continuous components (with P. Tuominen). Proc. London Math. Soc. 3 (1979) 89-114
  • Topological aspects of Doeblin decompositions for general Markov chains. Z. Wahrscheinlichkeitstheorie verw. Geb. 46 (1979) 299-305
  • The recurrence structure of general Markov processes (with P. Tuominen). Proc. London Math. Soc. (3) 39 (1979) 554-576
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  • Computerised anthropology - finding and settling Polynesian islands. Math. Spectrum 11 (1979) 75-81
  • The estimation of parameters in hierarchial models using Laplace transform estimation (with H-J. Schuh), Math. Biosciences 45 (1979) 37-67
  • Exponential ergodicity of general Markov processes and their discrete skeletons (with P. Tuominen). Adv. Appl. Prob. 11 (1979) 784-803.
  • Exponential ergodicity in Markovian queueing and dam models (with P. Tuominen). J. Appl. Prob. 16 (1979) 867-880
1980
  • Semi-Markov processes on a general state space: a-theory and quasi-stationary properties (with E. Arjas and E. Nummelin). J. Austral. Math. Soc. Series A 30 (1980) 187-200
  • The influence of environment on daily maintenance behaviour of free ranging shorthorn cows in Central Australia. I: General introduction and descriptive analysis of day long activities (with W. A. Low, et al.) Applied Animal Ethology 7 (1980) 11-26
  • The influence of environment on daily maintenance behaviour of free ranging shorthorn cows in Central Australia. III. Detailed analysis of sequential behaviour patterns and integrated discussion (with W. A. Low, et al.) Applied Animal Ethology 7 (1980) 39-56
  • The effect of temperature on times to hatching of eggs of the nematode Ostertagia Circumcinta (with R. Young et al.) Parasitology 81 (1980) 477-491
  • Asymptotic behaviour of point processes with Markov-dependent intervals (with K. B. Athreya and D. Vere-Jones). Math. Nachr. 99 (1980) 301-313
  • Perturbations of countable Markov chains. Ann. Inst. Stat. Math. A. 32 (1980) 283-290
  • The effect of temperature on the development of the free living stages of O. ostertagi under field and controlled conditions (with R. Young et al.) Parasitology 81 (1980) 493-505
1981
  • Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes. J. Appl. Prob. 18 (1981) 122-130
1982
  • Operator-geometric stationary distributions for Markov chains, with application to queueing models. Adv. Appl. Prob. 14 (1982) 368-392
  • Storage processes with general release rule and additive input (with P. J. Brockwell and S. I. Resnick). Adv. Appl. Prob. 14 (1982) 392-434
  • Computer production of kinetograms (with K. Malafant). Appl. Anim. Ethol. 8 (1982) 179-187
  • Techniques for estimating parameters in Bartoszynski's virus model (with A. C. Trajstman). Math. Biosciences 58 (1982) 277-307
  • Criteria for rates of convergence of Markov chains, with application to queueing and storage theory. In: Papers in Probability, Statistics and Analysis, ed. J. F. C. Kingman and G. E. H. Reuter (1982), pp. 260-276. Cambridge University Press, London Math. Soc. Lecture Note Series
1983
  • Weighted area techniques for explicit parameter estimation in hierarchical models (with P. D. Feigin and C. Belyea). Austral. J. Statist. 25 (1983) 1-16
  • Solidarity properties and a Doeblin decomposition for a class of non-Markovian stochastic processes (with R. Theodorescu). Metrika 30 (1983) 37-47
  • Mean drifts and the non-ergodicity of Markov chains (with L. I. Sennott and P. Humblet). Operations Res. 31 (1983) 783-789
  • The existence of moments for stationary Markov chains. J. Appl. Prob. 20 (1983) 191-196
  • Weighted area techniques for the estimation of the parameters of a growth curve (with M. I. Leedow). Austral. J. Statist. 25 (1983) 310-320
1984
  • A model for mutton bird growth (with J. D. Henstridge). Biometrics 40 (1984) 917-925
1985
  • Random coefficient autoregressive processes: a Markov chain analysis of stationarity and finiteness of moments (with P. D. Feigin). J. Time Series Analysis 6 (1985) 1-14
  • Moments for stationary and quasi-stationary distribution of Markov chains (with E. Senetas). J. Appl. Prob. 22 (1985) 148-155
  • Reliability in multi-component systems: structure and convergence to stationary behaviour (with E. Arjas and P. Haara). Optimisation 16 (1985) 297-311
1986
  • The existence of moments for Markov and semi-Markov processes with application to birth-death and stress release models. In: Proceedings First Pacific Statistical Congress (1986), pp. 147-149, ed. I. Francis, B.J.F. Manly, F. C. Lam. North-Holland, Amsterdam
  • A longitudinal study of health changes following the introduction of Medicare (with J. Hall and N. Hall. In: Proc. Health Economists Group (1986), pp. 81-102. Australian Studies in Health Service Administration No. 56, University of New South Wales
  • Return state. In: Encyclopaedia of Statistical Sciences, eds. N. L. Johnson and S. Kotz (1986). Wiley: New York
  • Recurrence criterion. In: Encyclopaedia of Statistical Sciences, pp. 656-658, eds. N. L. Johnson and S. Kotz (1986). Wiley: New York
  • Working with official statistics: some SIROMATH experiences. Austral. Statist. J. 28 (1986) 265-286
  • In and out of applied probability in Australia. In: The Craft of Probabilistic Modelling, ed. J. Gani (1986), pp. 291-308. Applied Probability Series, Springer-Verlag New York
1987
  • Statistical consulting in Australia. Liason 2 (1987) 37-40
1988
  • Invariant measures for Markov chains with no irreducibility assumptions. In: A Celebration of Applied Probability, ed. J. Gani (1988), pp. 275-285. J. Applied Probability, Special Volume 25A
1989
  • Shaping tomorrow's university. In: Proc SOST'89, eds. R. Clark and J. Cameron (1989), pp. 427-439. ACS Sydney
  • Linear functionals and Markov chains associated with the Dirichlet process (with P. D. Feigin). Math. Proc. Camb. Phil. Soc. 105 (1989) 579-585
  • Total quality management and information technology. Int. J. Val. Based Man. 2 (1989) 111-125
  • Modelling of transitions between employment states for young Australians (with W.T.M. Dunsmuir, K. E. Mengersen, and L. Flack). Aust. J. Statist. 31A (1989) 165-196
1990
  • Criteria for rates of convergence to stationarity in Markovian queueing models with application to the GSPP/GSPP/1 queue. In: Proc. 4th Aust. Teletraffic Research Seminar, ed. R. J. Harris, Bond University
1992
  • On the existence of a stationary SETARMA model (with J. Liu and P.J. Brockwell). J. Time Series Analysis 13 (1992) 95-107
  • Comments on the Committee for New Researchers Guidelines. Statistical Science 7 (1992) 263-26
  • Stability of Markovian processes I: Discrete time chains (with S. P. Meyn). Adv. Appl. Prob. 24 (1992) 542-574
  • Lung cancer and passive smoking: reconciling the biochemical and epidemiological approaches (with K. L. Mengersen). Brit. J. Cancer 66 (1992) 700-705
1993
  • The Doeblin decomposition (with S. P. Meyn). Contemporary Mathematics, 149 (1993) 211-225
  • Generalised resolvents and Harris recurrence of Markov processes (with S. P. Meyn). Contemporary Mathematics, 149 (1993) 227-250
  • Stability of Markovian processes II: Continuous time and sampled processes (with S. P. Meyn). Adv. Appl. Prob. 25 (1993) 487-517
  • Stability of Markovian processes III: Continuous time processes (with S. P. Meyn). Adv. Appl. Prob. 25 (1993) 518-548
1994
  • Computable convergence rates and geometric ergodicity for Markovian queueing systems. in Proc. 31st Allerton Conf. on Communication, Control and Computing, ed. D.P. Sarwate and P. van Dooren, University of Illinois at Champagne-Urbana (1994), 404-412
  • State-dependent criteria for classifying Markov chains (with S.P. Meyn) Ann. Appl. Prob. 4 (1994) 149-168
  • Strengthening ergodicity to geometric ergodicity for Markov chains (with F.M. Spieksma) Stoch. Models 10 (1994) 45-74
  • Garbage In, Garbage Out: Can Statisticians Quantify the Effects of Poor Data? (with K.L. Mengersen and J.A. Eccleston) Chance 7(2) 20-27
  • Topological conditions enabling use of Harris methods in discrete and continuous time Acta Applicandae Math. 34 (1994) 175-188
  • Stability and instability of continuous time Markov processes (with O. Stramer) in Probability, Statistics and Optimization: a Tribute to Peter Whittle ed F.P. Kelly (1994), pp. 173-183, John Wiley and Sons (London)
  • Computable bounds on convergence rates for geometric ergodicity of Markov chains (with S.P. Meyn) Ann. Appl. Prob. 4 (1994) 981-1011
  • A survey of Foster-Lyapunov conditions for general state space Markov processes (with S.P. Meyn), in Proceedings of the Workshop on Stochastic Stability and Stochastic Stabilization, Metz, France Springer-Verlag
  • Subgeometric Rates of Convergence of f-ergodic Markov Chains (with P. Tuominen) Ann. Appl. Prob. 26 (1994) 775-798
  • Passive smoking in the workplace: A classical and Bayesian meta-analysis (with K. L. Mengersen and B. Biggerstaff) Int. Arch. Occupational and Environmental Health 66, (1994) 269-277
1995
  • Meta-analysis approaches to dose-response relationships, with application in studies of lung cancer and passive smoking (with K. L. Mengersen). Statistics in Medicine 14 (1995) 545-569
  • The impact of method choice in meta-analysis (with K. L. Mengersen and B. Biggerstaff) Australian J. Statistics 37 (1995) 19-44
  • Exponential and uniform ergodicity of Markov processes (with D.Down and S. Meyn) Ann. Prob. 23 (1995) 1671-1691
  • Comments on "Convergence of Markov chain Monte Carlo algorithms" by N.G. Polson, in Bayesian Statistics 5, (1995) Ed. Bernardo, J., Berger, J., Dawid, A.P. and Smith, A.F.M., Oxford University Press, Oxford, 317-318 (with K.L. Mengersen)
1996
  • Rates of convergence in the Hastings-Metropolis algorithm (with K. L. Mengersen) Ann. Statist. 24 (1996) 101-121
  • Geometric convergence rates for stochastically ordered Markov chains (with R.Lund) Maths. of OR 21 (1996) 182-194
  • Geometric convergence and central limit theorems for Hastings-Metropolis algorithms (with G.O. Roberts) Biometrika 83 (1996) 95-110
  • Bayesian meta-analysis, with application to studies of ETS and lung cancer (with D.J. Scott and B.J. Biggerstaff and K.L. Mengersen) Lung Cancer (1996) 14 Suppl. 1, S171-S194
  • Continuous-time threshold AR(1) models (with O. Stramer and P.J. Brockwell) Adv. Appl. Prob. 28 (1996) 728-746
  • Existence and stability of continuous time threshold ARMA models (with O. Stramer and P.J. Brockwell) Stat. Sinica 6 (1996) 715-732)
  • Rates of convergence of stochastically monotone Markov processes (with S.P. Meyn and R. Lund) Ann. App. Prob. 6 (1996) 218-237
  • Explicit rates of convergence of stochastically monotone Markov chains (with D.J. Scott) Proc. Athens Conference on Applied Probability and Time Series Analysis: Papers in Honour of J.M. Gani and E.J. Hannan Edd. C.C. Heyde, Yu.V. Prohorov, R. Pyke and S.T. Rachev, Springer-Verlag New York, 176-191
  • Geometric convergence of Langevin diffusions and their discrete approximations (with G.O. Roberts) Bernoulli 2 (1996) 341-364
  • Electronic publishing in the IMS: a step forward IMS Bulletin 25 (1996) 627-629
  • Bayesian assessment of publication bias in meta-analyses of cervical cancer and oral contraceptives (with B. LaFleur, S.J. Taylor and D.D. Smith). Proc. of the Epidemiology Section of the 1996 Joint Statistical Meetings 32-37, American Statistical Association, Alexandria USA
1997
  • Orthogonal measures and absorbing sets for Markov chains (with Pei-de Chen) Math. Proc. Camb. Phil. Soc. 121 (1997) 101-113
  • Incorporating variability in estimates of heterogeneity in the random effects model in meta-analysis (with B.J. Biggerstaff) Stats. in Medicine 16 (1997) 753-768
  • Annals of Applied Probability Encylopedia if Statistical Sciences Update 1 (1997) 30-32
  • Stability of weak solutions to stochastic differential equations (with O. Stramer) Stat. Sinica 7 1997 577-594
  • Assessing sensitivity in attributable risk calculations (with S.J. Taylor) Environmetrics 8 351-372
  • Estimating and Adjusting for Publication Bias using Data Augmentation in Bayesian Meta-Analysis (with G.H. Givens and D.D. Smith) Statistical Science 12 221-250
1998
  • Consulting: real problems, real interactions, real outcomes Statistical Science 13 1-3
  • Queueing at the tax office (with N. Hall) Statistical Science 13 18-23
  • Assessing Sensitivity to Data Problems in Epidemiological Meta-analyses Bulletin ISI: Proc 51st Session, Tome LVII, Book 3 556-559, ISI Amsterdam
  • Perfect Simulation and Backward Coupling (with S.G. Foss) Stochastic Models 14 187-203
  • Roles for societies in statistical education Statistical Education - Expanding the Network, Proc. 5th ICOTS, Ed L. Pereira-Mendoza, 439-444, ISI Amsterdam
  • Simulating the invariant measures of Markov chains using horizontal backward coupling at regeneration time (with S.G. Foss and J. Corcoran) PEIS 12 303-320
  • Truncation approximations of invariant measures for Markov chains J.Appl Prob. 35 517-536
  • Practical estimates of the effect of publication bias in meta-analysis (with S. Duval) Australian Epidemiologist 5 14-17
1999
  • Bounds on regeneration times and convergence rates for Markov chains (with G.O. Roberts) Stoch. Proc. Applns. 80 211-229
  • ETS and IHD: mechanisms and epidemiological relationships (with M. Merrilees and K.L. Mengersen) Int. Arch. Occupational and Environmental Health 72 Suppl. R1-R40
  • Calculating accuracy rates from multiple assessors with limited information (with K.L. Mengersen) Amer Statistician 53 233-238
  • Langevin-Type Models I: Diffusions with Given Stationary Distributions, and their Discretizations (with O. Stramer) Methodology and Computing in Applied Probability 1 283-306
  • Langevin-Type Models II: Self-Targeting Candidates for MCMC Algorithms (with O. Stramer) Methodology and Computing in Applied Probability 1 307-328
2000
  • Adjustment for Publication and Quality Bias in Bayesian Meta-Analysis (with D.D. Smith and G.H. Givens ) in Meta-analysis in Medicine and Health Policy, Chapter 12, 277-304 ed D. Berry and D. Stangl, Marcel Dekker.
  • A Non-parametric "Trim and Fill" Method of Assessing Publication Bias in Meta-analysis (with Sue Duval) JASA 95 89-98
  • Trim and Fill: A Simple Funnel Plot Based Method of Testing and Adjusting for Publication Bias in Meta-analysis (with Sue Duval) Biometrics
    • 56 276-284.
  • An empirical assessment of publication bias in meta-analyses (with Sutton AJ, Duval SJ, Abrams KR and Jones DR) BMJ 320 1574-1577 [http://www.bmj.org/cgi/content/full/320/7249/1574]
  • Markov Chains: Structure and Applications Handbook of Statistics 19, ed. D.N. Shanbhag and C.R. Rao, Elsevier Amsterdam, 817-851
  • Rates of convergence of stochastically monotone stochastic processes (with G.O. Roberts) J.Appl.Prob. 37 359-373
  • Non-Gaussian conditional linear AR(1) models (with G.K. Grunwald, R.J. Hyndman and L. Tedesco) ANZ Journal of Statistics 42 479-495
  • A school-based strategy to assess children's environmental exposures and related health effects in economically disadvantaged urban neighborhoods (with Ken Sexton, Ian Greaves, Timothy R. Church, John L. Adgate, Gurumurthy Ramachandran, Ann Fredrickson, Mindy Geisser, Mary Sikorski, Georg Fischer, David Jones, Paul Ellringer) J. Expos. Anal. Environ. Epidemiol.10 682-694
Accepted for Publication
  • Meta-analysis, Encyclopedia of Environmetrics
  • Environmental Tobacco Smoke, Encyclopedia of Environmetrics
  • Perfect sampling of Harris recurrent Markov chains (with J. Corcoran) Annals of Applied Probability
  • Drift conditions and invariant measures for Markov chains Stoch. Proc. Applns
  • Geometric L2 and L1 convergence are equivalent for reversible Markov chains (with G.O. Roberts) J.Appl.Prob.
  • An effective CI for the mean with samples of size 1 and 2 (with M.Wall and J.Boen) Amer. Statistician
  • Perfect sampling and queuing models (with J. Corcoran) Proc. 38th Annual Allerton Conference on Communication, Control, and Computing
  • Perfect sampling for Markov chains arising from discrete event simulation (with S. Henderson) Proc. 38th Annual Allerton Conference on Communication, Control, and Computing
  • MCMC estimation of the law of the mean of a Dirichlet process (with A. Guglielmi) Bernoulli
Submitted For Publication
  • Perfect sampling from independent Metropolis-Hastings chains (with J. Corcoran)
  • Stationary measures for non-irreducible non-continuous Markov chains with time series applications (with G. Fonseca)
  • Stability properties of Markov chains defined via iterated random functions (with S. Jarner)
  • Perfect Simulation of an Inventory Model for Perishable Products (with W.L. Cooper)
  • Locally contracting iterated functions and stability of Markov chains (with S. Jarner)
  • Functional outcome following total knee athroplasty revision: a meta-analysis (with K.J. Saleh, D.C. Dykes, A. Ravichandran, R.M. Saleh, K. Mohamed, T.J. Gioe, D.A. Heck)
  • Convergence of Markov Chains from All Starting Points, with Applications to Metropolis-Hastings Algorithms
  • Parameter Estimation using Laplace Transforms in the M/M/1 queue (with Z. Zhu and S. Low Choy)
  • Causality and association: the statistical and legal approaches (with K. L. Mengersen)