A frequency approach to the techniques of principal components, factor analysis and canonical variates in the case of stationary time series. Invited Papers, Royal Statistical Conference. Cardiff, Wales Sept 29 - Oct. 1, 1964.
D. R. Brillinger and M. Rosenblatt, "Asymptotic theory of estimates of k-th order spectra". Pp. 153-188 in {\it Spectral Analysis of Time Series} Ed. B. Harris. Wiley, New York.
The canonical analysis of stationary time series. Pp. 331-350 in Multivariate Analysis - II. (Ed. P. R. Krishnaiah) Academic (1969).
Brillinger, D.R. and Hatanaka, M. (1969)
"An harmonic analysis of
non-stationary multivariate economic processes," Econometrica 7, 131-141.
The frequency analysis of relations bewteen stationary spatial series. Pp. 39-81 in Proc. Twelfth Biennial Seminar of the Canadian Mathematical Congress (Ed. R. Pyke). Canadian Mathematical Society, Ottawa (1970).
"An empirical investigation of the Chandler wobble and two prposed excitation processes". Bulletin International Statistical Institute 45 (Book 3) 413-433 (1973).
W. A. Silveria and D. R. Brillinger (1978). "On maximum wave heights in severe seas", pp. 1563-1569 in Proceeding 1978 Offshore Technology Conference. Volume III.
"Confidence intervals for the crosscovariance function". Selecta Statistica Canadiana, Vol. V, 1-16.
D. R. Brillinger, J. Guckenheimer, P. Guttorp and G. Oster. "Empirical modelling of population time series data: the case of age and density dependent vital rates". Lectures on Mathematics in the Life Sciences, Vol. 13, 65-90. American Math. Soc. (1980).
"Statistical inference for random processes". Pp. 1049-1061 in Proc. Int. Congress Math. (1983).
D. R. Brillinger and H. K. Preisler (1983). "Maximum likelihood in a latent variable problem", pp. 31-65 in
Studies in Econometrics, Time Series, and Multivariate Statistics (Eds. S. Karlin, T. Amemiya and L. A. Goodman) Academic (1983).
"What do seismology and neurophysiology have in common? - Statistics!" Pp. 1-11 in C. R. Math. Rep. Acad. Sci. Canada Volume VIII (1986).
"The natural variability of vital rates and associated statistics" Pp. 693-734 in Biometrics 42 (1986).
"Mapping aggregate birth data" Pp. 77-83 in Proc. Statistics Canada Symposium 89, Analysis of Data in Time. Statistics Canada, Ottawa (1989).
"Spatial-temporal modelling of spatially aggregate birth data" Pp. 255-269 in Survey Methodology 16 (1990).
"Locally weighted analysis of spatially aggregate birth data: uncertainty estimation and display" Pp. 71-79 in Proc. Statistics Canada Symposium 91, Spatial Issues in Statistics. Statistics Canada, Ottawa (1991).
"Some asymptotics of a finite Fourier transforms of stationary p-adic process" Pp. 155-169 in J. Combinatorics, Information System Sciences 16 (1991).
"Earthquake risk and insurance" Environmetrics 4, 1-21 (1993).
The digital rainbow: some history and applications of numerical spectrum analysis in Canadian J. Statistics 21, 1-19 (1993)
Examples of the investigation of neural information processing by point process analysis Pp. 111-127 in Advanced Methods of Physiological System Modelling, Vol. 3. Plenum Press (1994).
"An analysis of an ordinal-valued time series", pp. 73-87 in Athens Conference on Applied Probability and Time Series Analysis. Volume II: Time Series Analysis. In Memory of E.J. Hannan. Lecture Notes in Statistics Vol. 115. Springer-Verlag (1996).
"Some uses of cumulants in wavelet analysis", Nonparametric Statistics, vol. 6 (1996), pp. 93-114.
"D.R. Brillinger and A.E.P. Villa (1997) "Assessing connections in networks of biological neurons", The Practice of Data Analysis. Princeton University Press, Princeton.
"Remarks concerning graphical models for time series and point processes", Revista de Econometria, vol. 16 (1996), pp. 1-23.
D. R. Brillinger and B. S. Stewart "Elephant seal movements: some frequency based studies", REBRAPE (1996).
"An application of statistics to meteorology: estimation of motion," pp. 93-105 in Festschrift for Lucien Le Cam. Springer, New York (1997).
"A particle migrating randomly on a sphere" J. Theoretical Probability. April (1997).
D. R. Brillinger and B. S. Stewart "Elephant Seal Movements: Dive Types and Their Sequences", Modelling Longitudinal and Spatially Correlated Data: Methods, Applications, and Future Directions (ed. T. G. Gregoire et al.). Lecture Notes in Statistics, Vol. 122, Springer, New York. (1997).
"Some wavelet analyses of point process data". Proc. 31st Asilomar Conference on Signals, Systems and Computers. (1997). IEEE.
D. R. Brillinger and R. A. Irizarry (1998) "An investigation of the second- and higher-order spectra of music", Signal Processing 65, 161-179.
D. R. Brillinger and B. S. Stewart. "Elephant seal movements: modelling migration". Canadian J. Statistics, Vol. 26, 431-443. (1998).
"What are todays x-bar and s? or Happiness is a new data type", StatistiCal News, Fall, 8-10 (1998).
Final Report of the
Haystack Orbital Data Review Panel".
"Some examples of empirical Fourier analysis in scientific problems". Asymptotics, Nonparametrics and Time Series. (Ed. S. Ghosh) Dekker, New York (1999).
"Some examples of random process environmental data analysis". Handbook of Statistics, Vol. 18 (2000)
D. R. Brillinger, P. A. Morettin, R. A. Irizarry and C. Chiann (2000)."Some wavelet-based analyses of Markov chain data". Signal Processing 80, 1607-1627.
"Time series: general".International Encyclopedia of the Social and Behavioral Sciences Vol. 23, 15724-15731, (2001).
With C. Chiann, R. A. Irizarry and P. A. Morettin "Automatic methods for generating seismictensity maps". J. in Applied Probability 38A, 188-201, (2001)
"John Tukey and the correlation coefficient", Computing Science and Statistics, 33 (2001).
"Space Debris: Flux in a Two Dimensional Orbit". Pp. 105-116 in Statistics and Genetics in the Environmental Sciences, Birkhauser (2001).
Brillinger, D. R., Preisler, H. K., Ager, A. A. Kie, J., and Stewart, B. S. "Modelling movements of free-ranging animals" UCB Statistics Technical Report 610 (2001).
Brillinger, D. R., Preisler, H. K., Ager, A. A. and Kie, J. "The use of potential functions in modelling animal movement" Data Analysis From Statistical Foundations. 396-386 (2001)
John Wilder Tukey (1915-2000)
Notices of the American Mathematical Society Feb. (2002)
Tutorial: statistics and seismic analyses IMA presentation 11 June 2002
D. R. Brillinger, H. K. Preisler, A. A. Ager, J. G. Key and B. S. Stewart "Employing stochastic differential equation to model wildlife motion" Bull. Brazilian Math. Soc. 2002 (33), 385-408.
The life and professional contributions of John W. Tukey Annals of Statistics (2002) 1535-1575.
John W. Tukey's work on time series and spectrum analysis Annals of Statistics (2002) 1595-1618
"Second-order
moments and mutual information in the analysis of time series
", Recent Advances in Statistical Methods Vol. 34, 3-25 (2002)
H. K. Preisler, D. R. Brillinger, A.A. Ager, J.G. Kie and R.P. Akers, "Stochastic differential equations: a tool for studying animal movement" Proc. Internat. Union Forest Research Org. (2001)
"Modelling and analysis of some random process data from neurophysiology" Investigacion Operacional(2003) 206-218
With Preisler, H. K. and Benoit, J.
"Risk assessment: a forest fire example." Science and Statistics (2003)
Lecture Notes in Statistics 40, 177-196, IMS. (2003).
An analysis of a bivariate time series in which the components are sampled at different instants Lecture Notes in Statistics 42, 376-396, IMS (2003)
Some examples of risk analysis in environmental problems, Computing Science and Statistics, 34, 3-24 (2002).
"Analise de Regressao e Informacao Mutua" Transparencies of Keynote Talk at the Brazilian Regression School (2003).
Regression, mutual information and point processesTransparencies of Opening Talk at Point Processes Meeting at BIRS (June,2003)
"Risk analysis: examples and discussion (Plenary Talk)"Proceedings Ninth International Conference on Applications of Statistics and Probability in Civil Engineering Vol. 1, 3-12 San Francisco (2003)
Simulating constrained animal motion using stochastic differential equations Lecture Notes in Statistics 41, 35-48 (2003)
Three environmental probabilistic risk problems Statistical Science 18, 412-421 (2003)
Brillinger, D.R., Preisler, H.K., Aager, A.A. and Kie, J.G. "An exploratory data analysis (EDA) of the paths of moving animals"J. Statistical Planning and Inference 122 (2004).
Brillinger, D.R., Preisler, H.K. and Naderi, H.M. "Wildfire chances and probabilistic risk assessment". Proceedings of Accuracy 2004 and Ties 2004, Portland, Maine (2004).
Preisler, H.K., Brillinger, D.R., Burgan, R.E. and Benoit, J.W. "Probability based models for estimation of wildfire risk". Int. J. Wildland Fire 13, 133-142 (2004).
"Everyone was an environmentalist". Newsletter, ASA Section on Statistics and the Environment 6 No. 1, 2-3 (2004).
"Some data analyses using mutual information" Brazilian J. Probability and Statistics 18, 163-183 (2004).
Brillinger, D.R., Preisler, H. K., Ager, A.A. and Wisdom, M.J. "Stochastic differential equations in the analysis of wildlife motion" 2004 Proceedings of the American Statistical Association, Statistics & the Environment Section (2004)
"The beginnings of some exploratory environmental risk analyses", Proc. International Statistical Institute Sydney (2005).
"A journey through random process data analysis: one type to the next", script of video prepared by ASA Committee to Film Distinguished Statisticians (2007).
D. R. Brillinger and B. A. Bolt, "Objective estimates of the seismic intensity of the 1755 Lisbon Earthquake", Pp. 311-316 in Proceedings 250th Anniversary of the 1755 Lisbon Earthquake (2005).
"Modelling some Norwegian soccer data", to appear (2006)
Tukey, John Wilder Encyclopedia of Statistical Sciences (2006).
Anscombe, Frank Encyclopedia of Statistical Sciences (2006).
A meandering hylje Pukkila60 (2006)
Discussion of C. Mallows (2006) "Tukey's paper after 40 years", Technometrics 48, 319-325 (2006).
D. R. Brillinger, B. S. Stewart and C. L. Littnan, "Three months journeying of a Hawaiian monk seal", IMS Lecture Notes - Monograph, to appear (2006).
D. R. Brillinger, H. K. Preisler and J. W. Benoit, "Probabilistic risk assessment for wildfires", Environmetrics 17, 623-633 (2006).
D. R. Brillinger and A. Guha, "Mutual information in the frequency domain", J. Stat. Planning and Inference, in press. (2007)
"A potential function approach to the flow of play in soccer", J. Quantitative Analysis in Sports, Vol. 2, Iss. 1, Article 3 (2007).
"Learning a potential function"
IEEE Signal Processing Letters 14, 867-870 (2007).
"Extending the volatility concept to point processes" J. Statistical Planning and Inference 138, 2607-2614 (2008).
"The 2005 Neyman Lecture: dynamic indeterminism in science" Statistical Science 23, 48-64 (2008).
"The 2005 Neyman Lecture: Rejoinder" Statistical Science 23, 76-77 (2008).
D. R. Brillinger, B. S. Autrey and M. D. Cattaneo, "Probabilistic Risk Modelling at the Wildland Urban Interface: the 2003 Cedar Fire". Environmetrics (2008). To appear.
Modelling game outcomes of the Brazilian 2006 Series A Championship as ordinal-valued Brazil. J. Prob. Statist. (2008). To appear.
08/9/2008
Figures for preceding article
Figures for preceding article
D. K. Barton, D. R. Brillinger,
A. H. El-Shaarawi, P. McDaniel, K. H. Pollock and M. T. Tuley.
Technical Memorandom 4809, Johnson Space Center, Houston.