# Publications: Clarke, Brenton

**66**.

## Journal Article

Müller, C.H., Szugat, S., Celik, N. and Clarke, B.R.
(2016)
*Trimmed likelihood estimators for lifetime experiments and their influence functions.*
Statistics, 50
(3).
pp. 505-524.

Clarke, B.R., Davidson, T. and Hammarstrand, R.
(2016)
*A comparison of the L2 minimum distance estimator and the EM-algorithm when fitting k-component univariate normal mixtures.*
Statistical Papers, In press
.

Barton, A.F.M., Clarke, B.R., Dell, B. and Knight, A.R.
(2014)
*Post-emergent herbicidal activity of cineole derivatives.*
Journal of Pest Science, 87
(3).
pp. 531-541.

Walker, B.F., Hebert, J.J., Stomski, N.J., Clarke, B.R., Bowden, R.S., Losco, B. and French, S.D.
(2013)
*Outcomes of Usual Chiropractic; Harm (OUCH). A randomised controlled trial.*
Spine, 38
(20).
pp. 1723-1729.

Clarke, B.R., McKinnon, P.L. and Riley, G.
(2012)
*A fast robust method for fitting gamma distributions.*
Statistical Papers, 53
(4).
pp. 1001-1014.

Bowden, R.S. and Clarke, B.R.
(2012)
*A single series representation of multiple independent ARMA processes.*
Journal of Time Series Analysis, 33
(2).
pp. 304-311.

Walker, B.F., Losco, B., Clarke, B.R., Hebert, J.J., French, S.D. and Stomski, N.J.
(2011)
*Outcomes of usual chiropractic, harm & efficacy, the ouch study: study protocol for a randomized controlled trial.*
Trials, 12
(1).
p. 235.

Gaikhorst, G.S., Clarke, B.R., McPharlin, M., Larkin, B., McLaughlin, J. and Mayes, J.
(2011)
*The captive husbandry and reproduction of the pink-eared turtle (Emydura victoriae) at Perth Zoo.*
Zoo Biology, 30
(1).
pp. 79-94.

Bednarski, T., Clarke, B.R. and Schubert, D.D.
(2010)
*Adaptive trimmed likelihood estimation in regression.*
Discussiones mathematicae. Probability and statistics, 30
(2).
pp. 203-219.

Matson, P., Power, V., Kappelle, W and Clarke, B.R.
(2008)
*Urine osmolality is equivalent to creatinine concentration for normalising urinary progestogen in the numbat (Myrmecobius fasciatus).*
Australian Mammalogy, 30
(1).
pp. 43-45.

Clarke, B.R. and Futschik, A.
(2007)
*On the convergence of Newton's method when estimating higher dimensional parameters.*
Journal of Multivariate Analysis, 98
(5).
pp. 916-931.

Matson, P.L., Webb, S., Kappelle, W. and Clarke, B.R.
(2007)
*The benefits and limitations of the sperm quality analyzer IIB in assessing porcine sperm motility.*
Archives of Andrology, 53
(6).
pp. 359-365.

Clarke, B.R. and Schubert, D.D.
(2006)
*An adaptive trimmed likelihood algorithm for identification of multivariate outliers.*
Australian & New Zealand Journal of Statistics, 48
(3).
pp. 353-371.

Clarke, B.R. and McKinnon, P.
(2005)
*Robust inference and modelling for the single ion channel.*
Journal of Statistical Computation and Simulation, 75
(7).
pp. 513-529.

Futschik, A. and Clarke, B.R.
(2004)
*Improving bandwidth selection methods by adding qualitative constraints.*
Computational Statistics, 19
(3).
pp. 445-453.

Clarke, B.R. and Milne, C.J.
(2004)
*Small sample bias correction for Huber's Proposal-2 scale M-estimator.*
Australian & New Zealand Journal of Statistics, 46
(4).
pp. 649-656.

Clarke, B.R. and Monaco, A.G.
(2004)
*Some inferential questions in regard to analysing two-way Layouts and associated linear model theory and practice.*
Discussiones mathematicae. Probability and statistics, 24
(2).
pp. 183-195.

Bednarski, T. and Clarke, B.R.
(2002)
*Asymptotics for an adaptive trimmed likelihood location estimator.*
Statistics, 36
(1).
pp. 1-8.

Clarke, B.R.
(2002)
*A representation of orthogonal components in analysis of variance.*
International Mathematical Journal, 1
(2).
pp. 133-147.

Clarke, B.R.
(2000)
*An adaptive method of estimation and outlier detection in regression applicable for small to moderate sample sizes.*
Discussiones mathematicae. Probability and statistics, 20
(1).
pp. 25-50.

Clarke, B.R., Gamble, D.K. and Bednarski, T.
(2000)
*A note on robustness of the β-trimmed mean.*
Australian & New Zealand Journal of Statistics, 42
(1).
pp. 113-117.

Clarke, B.R.
(2000)
*A remark on robustness and weak continuity of M-estimators.*
Journal of the Australian Mathematical Society (Series A), 68
(03).
pp. 411-418.

Clarke, B.R.
(2000)
*A review of differentiability in relation to robustness with application to seismic data analysis.*
Proceedings of the Indian National Science Academy, 66, A
(5).
pp. 467-482.

Bednarski, T. and Clarke, B.R.
(1998)
*On locally uniform expansions of regular fuctionals.*
Discussiones Mathematicae: Algebra and Stochastic Methods, 18
.
pp. 155-165.

Clarke, B.R. and Lewis, T.
(1998)
*An outlier problem in the determination of ore grade.*
Journal of Applied Statistics, 25
(6).
pp. 751-762.

Clarke, B.R.
(1994)
*Empirical evidence for adaptive confidence intervals and identification of outliers using methods of trimming.*
Australian Journal of Statistics, 36
(1).
pp. 45-58.

Clarke, B.R. and Heathcote, C.R.
(1994)
*Robust estimation of k-component univariate normal mixtures.*
Annals of the Institute of Statistical Mathematics, 46
(1).
pp. 83-93.

Clarke, B.R., Milne, R.K. and Yeo, G.F.
(1993)
*Asymptotic theory for multiple solutions of likelihood equations, with application to a single ion channel model.*
Scandinavian Journal of Statistics, 20
(2).
pp. 133-146.

Bednarski, T. and Clarke, B.R.
(1993)
*Trimmed likelihood estimation of location and scale of the normal distribution.*
Australian Journal of Statistics, 35
(2).
pp. 141-153.

Clarke, B.R. and Godolphin, E.J.
(1992)
*Uncorrelated residuals and an exact test for two variance components in experimental design.*
Communications in Statistics - Theory and Methods, 21
(9).
pp. 2501-2526.

Bednarski, T., Clarke, B.R. and Kolkiewicz, W.
(1991)
*Statistical expansions and locally uniform Fréchet differentiability.*
Journal of the Australian Mathematical Society (Series A), 50
(01).
pp. 88-97.

Clarke, B.R.
(1991)
*The selection functional.*
Probability Theory and Mathematical Statistics, 11
(Fasc.2).
pp. 149-156.

Clarke, B.R.
(1989)
*An unbiased minimum distance estimator of the proportion parameter in a mixture of two normal distributions.*
Statistics & Probability Letters, 7
(4).
pp. 275-281.

Clarke, B.R.
(1986)
*Asymptotic theory for description of regions in which Newton-Raphson iterations converge to location M-estimators.*
Journal of Statistical Planning and Inference, 15
(C).
pp. 71-85.

Clarke, B.R.
(1986)
*Nonsmooth analysis and Fréchet differentiability of M-functionals.*
Probability Theory and Related Fields, 73
(2).
pp. 197-209.

Clarke, B.R.
(1983)
*Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations.*
Annals of Statistics, 11
(4).
pp. 1196-1205.

Clarke, B.R.
(1983)
*An algorithm for testing goodness of fit of ARMA (P,Q) models.*
Applied Statistics Journal, 32
(3).
pp. 335-344.

Clarke, B.R. and Godolphin, E. J.
(1982)
*Comparative power studies for goodness of fit tests of time series models.*
Journal of Time Series Analysis, 3
(3).
pp. 141-151.

## Non-refereed Article

Clarke, B.R.
(2014)
*Book review: Methodology in Robust and Nonparametric Statistics. By J. Jurečková, P.K. Sen, and J. Picek.*
Australian & New Zealand Journal of Statistics, 55
(4).
pp. 497-499.

Clarke, B.R., Gamble, D.K. and Bednarski, T.
(2012)
*On a note on robustness of the ß-trimmed mean (Corrigendum).*
Australian & New Zealand Journal of Statistics, 53
(4).
p. 481.

Clarke, B.R.
(2003)
*A week in Bedlewo, Poland.*
Statistical Society of Australia Incorporated Newsletter, 105
.
pp. 22-24.

Clarke, B.R.
(2002)
*An interview with Frank Hansford-Miller.*
Statistical Society of Australia Incorporated Newsletter, 101
.
pp. 1-2.

Clarke, B.R.
(2001)
*Report on “labour surveys in the ABS-I.E. What does the
WA office produce” by Helen Teasdale.*
Statistical Society of Australia Incorporated Newsletter, 97
.
pp. 10-11.

Clarke, B.R.
(2000)
*Report on “The Kelly System: Is it worth the gamble?” By Dr. Michael Levitan, and Report on ”Handwriting recognition and some related statistical problems” by Dr. Andrzej Kozek.*
Statistical Society of Australia Incorporated Newsletter, 93
.
pp. 8-9.

Clarke, B.R.
(1998)
*Comment on “Outliers in multilevel data” by I.H. Langford and T. Lewis.*
Journal of the Royal Statistical Society. Series A: Statistics in Society, 161
(2).
pp. 156-157.

Clarke, B.R. and Heathcote, C.R.
(1978)
*Comment on "Estimating mixtures of normal distributions and switching regressions" by Quandt and Ramsey.*
Journal of the American Statistical Association, 73
(364).
pp. 749-750.

## Conference Paper

Clarke, B.R. and Milne, C.J.
(2013)
*A small sample bias correction and implications for inference.*
In: 59th World Statistics Congress (WSC), 25 - 30 August, Hong Kong
pp. 1126-1130.

Clarke, B.R. and Hogan, R.
(2005)
*A way of deriving ANOVA for mixed models and variance component models based on an historical representation
of component sums of squares.*
In: 55th Session of the International Statistical Institute, 6 - 12 April, Sydney, Australia

Futschik, A. and Clarke, B.R.
(1999)
*Estimating nonsmooth k-modal densities and their inflection points.*
In: 52th Session of the International Statistical Institute, 11 - 18 August, Helsinki, Finland

## Conference Item

Bowden, R. and Clarke, B.R.
(2010)
*Estimation of a common model for replicated time series realisations.*
In: ASC 2010 Australian Statistical Conference Statistics in the West: Understanding our World., 6 - 10 December, Fremantle, Western Australia.

Clarke, B.R. and Nguyen, B.T.
(1996)
*Time series analysis of hourly ambient temperatures.*
In: Satellite Meeting to the 4th World Congress of the Bernoulli Society for Statistics and Probability, 26 - 31 August, Vienna.

## Book Chapter

Clarke, B.R.
(1996)
*Testing for outliers in gold assay data; unweighted and weighted samples.*
In: Clarke, B.R. and Wright, I.W., (eds.)
Papers presented at a one day Workshop on Statistical Applications in Mining held at Murdoch University, October 1st 1996.
Murdoch University Press, Murdoch, Western Australia, pp. 89-105.

## Book

Clarke, B.R. and Speijers, J. (Eds)
(2010)
*ASC2010 Statistics in the West: Understanding our world, including OZCOTS 2010 - The 7th Australian Conference on Teaching Statistics: program and abstracts.*
Promaco Conventions Pty Ltd, Canning Bridge, western Australia.

Clarke, B.R.
(2008)
*Linear models : the theory and application of analysis of variance.*
John Wiley & Sons Inc., Hoboken, N.J..

Clarke, B.R. and Wright, I.W. (Eds)
(1996)
*Papers presented at a one day Workshop on Statistical Applications in Mining held at Murdoch University, October 1st 1996.*
Murdoch University Press, Murdoch, Western Australia.

## Working Paper

Müller, C.H., Szugat, S., Celik, N. and Clarke, B.R.
(2015)
*Influence functions of trimmed likelihood estimators for lifetime experiments.*
Discussion paper.

Lambert, S. and Clarke, B.R.
(1988)
*Market wages and female labour supply.*
Murdoch University, Murdoch, Western Australia.

## Report

Bowden, R.S. and Clarke, B.R.
(2016)
*Using multivariate time series to estimate location and climate change effects on historical temperatures employed in future electricity demand simulation.*
Murdoch University Research Report, Mathematics and Statistics

Bowden, R.S. and Clarke, B.R.
(2014)
*Fitting replicated multiple time series models.*
Mathematics and Statistics, School of Engineering and Information Technology, Murdoch University, Murdoch, Western Australia.

Bowden, R.S., Walker, B. and Clarke, B.R.
(2012)
*MANOVA modelling of a chiropractic longitudinal study using multiple imputation.*
Murdoch University, Perth, Western Australia.

Clarke, B.R., Milne, C.J., Yatawara, N. and Trepp, E.H.
(2001)
*Forecasting requests for General Practitioners’ Time at a busy medical centre Version 1.*
.

Clarke, B.R.
(1988)
*A remark on the difference between probability and analysis in the proof of the central limit theorem for M-estimators.*
Murdoch University

Clarke, B.R.
(1986)
*July report on Statistical analyses of the investigation into the causes of sudden death syndrome (S.D.S.) in broiler breeders.*
Murdoch University

## Others

Clarke, B.R. and Bowden, R.S.
(2015)
*Fitting replicated multivariate time series models, extra supplementary material.*

Clarke, B.R. and Bowden, R.S.
(2015)
*The effects of changes in location and climate on weather records used for electricity demand simulation, extra supplementary material.*

Clarke, B.R., Davidson, T. and Hammarstrand, R.
(2014)
*R Files for fitting k-component univariate normal distributions.*

**Sat Aug 19 20:34:04 2017 UTC**.