Pre 1990 Publications - David R. Brillinger

  1. "A justification of some common laws of mortality," Transactions of the Society of Actuaries, Vol. 13 (1961), pp. 116-119.
  2. "A note on the definition of asymptotic normality for multi-dimensional random variables," Estadistica, Vol. 20 (1961), pp. 371.
  3. "Asymptotic means and variances in the k-dimensional case," Ph.D. Thesis, Princeton University, (1961), 70 pp.
  4. "Examples bearing on the definition of fiducial probability with a bibliography," Annals of Mathematical Statistics, Vol. 33 (1962), pp. 1349-1355.
  5. "A note on the rate of convergence of a mean," Biometrika, Vol. 49 (1962), pp. 574-576.
  6. "A note on the re-use of samples," Annals of Mathematical Statistics, Vol. 34 (1963), pp. 341-343.
  7. "Necessary and sufficient conditions for a statistical problem to be invariant under the action of a Lie group," Annals of Mathematical Statistics, Vol. 34 (1963), pp. 492-500.
  8. "A technique for measuring the spectral density matrix of two signals," Proceedings of the Institute of Electrical and Electronic Engineers, Vol. 52 (1964), pp. 103-104.
  9. "The asymptotic behavior of Tukey's general method of setting approximate confidence limits (the jackknife) when applied to maximum likelihood estimates," Review of the International Statistical Institute, Vol. 32 (1964), pp. 202-206.
  10. "A property of low-pass filters," SIAM Review, Vol. 7 (1965), pp. 65-67.
  11. "A moving average representation for random variables covariance stationary on a finite time interval," Biometrika, Vol. 52 (1964), pp= 295-297.
  12. "An introduction to polyspectra," Annals of Mathematical Statistics, Vol. 36 (1965), pp. 1351-1374.
  13. "The analyticity of the roots of a polynomial as functions of the coefficients," Mathematics Magazine, Vol. 39 (1966), pp. 145-147.
  14. "The application of the jackknife to the analysis of sample surveys,"J. Market Research Soc., Vol. 8 (1966), pp. 74-80.
  15. "An extremal property of the conditional expectation," Biometrika, Vol. 53 (1966), pp. 574-595.
  16. D.R. Brillinger and M. Rosenblatt, "Asymptotic theory of estimates of k-th order spectra," Proceedings on the National Academy of Sciences of the U.S.A., Vol. 57 (1967) pp. 206-210.
  17. D.R. Brillinger and M. Rosenblatt, "Asymptotic theory of estimates of k-th order spectra," Advanced Seminar on Spectral Analysis (ed. B. Harris), New York, Wiley (1967), pp. 153-188.
  18. D.R. Brillinger and M. Rosenblatt, "Computation and interpretation of k-th order spectra," pp. 189-232, Ibid.
  19. "Bounded polymeasures and associated translation commutative polynomial operators," Proceedings of the American Mathematical Society, Vol. 18 (1967), pp. 487-491.
  20. "Estimation of the cross-spectrum of a stationary bivariate Gaussian process from its zeros," Journal of the Royal Statistical Society, B, Vol. 30 (1968), pp. 145-159.
  21. D.R. Brillinger and M. Hatanaka, "An harmonic analysis of non-stationary multivariate economic processes," Econometrica, Vol. 7 (1969), pp. 131-141.
  22. "The calculation of cumulants via conditioning, Annals of the Institute of Statistical Mathematics, Vol. 21 (1969), pp. 215-218.
  23. "The canonical analysis of stationary time series," pp. 331-350 in Multivariate Analysis - II (ed. P.R. Krishnaiah), New York, Academic (1969).
  24. "An asymptotic representation of the sample distribution function," Bulletin of the American Mathematical Society, Vol. 75 (1969), pp. 545-547.
  25. "Asymptotic properties of spectral estimates of second order," Biometrika, Vol. 56 (1969), pp. 375-390.
  26. "A search for a relationship between monthly sunspot numbers and certain climatic series," Bul. Inter. Statist. Inst., Vol. 43 (1969), Book 1, pp. 293-307.
  27. "The identification of polynomial systems by means of higher order spectra," Journal of Sound and Vibration, Vol. 12, (1970), pp. 301-313.
  28. D.R. Brillinger and M. Hatanaka, "A permanent income hypothesis relating to the aggregate demand for money," Economic Studies Quarterly, Vol. 21 (1970), pp. 44-71.
  29. "The frequency analysis of relations between stationary spatial series," Proceedings of the Twelfth Biennial Seminar of the Canadian Mathematical Congress, (ed. R. Pyke), Montreal, Canadian Math. Congress. (1970), pp. 39-81.
  30. "On the number of solutions of systems of random equations," Annals of Mathematical Statistics, Vol. 43 (1972), 534-540.
  31. "The spectral analysis of stationary interval functions," Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, (eds. L.M. Le Cam, J. Neyman, E.L. Scott), Berkeley, University of California Press (1972), pp. 483-513
  32. "Estimating the mean of a stationary time series by sampling," Journal of Applied Probability, Vol. 10, (1973), pp. 419-431.
  33. "A power spectral estimate insensitive to transients," Technometrics, Vol. 15 (1973), pp. 559-562.
  34. "The analysis of time series collected in an experimental design," pp. 241-256 in Multivariate Analysis - III (ed. P.R. Krishnaiah), New York, Academic (1973).
  35. "An empirical investigation of the Chandler wobble and two proposed excitation processes," Bulletin of the International Statistical Institute, Vol. 45, (1973), Book 3, pp. 413-434.
  36. "Cross-spectral analysis of processes with stationary increments including the stationary G/G/inf queue, Annals of Probability, Vol. 2 (1974), pp. 815-827.
  37. "The asymptotic distribution of the Whittaker periodgram and a related chisquared statistic for stationary processes," Biometrika, Vol. 61 (1974), pp. 419-422.
  38. "The Fourier analysis of stationary processes," Proceedings of the Institute of Electrical and Electronic Engineers, Vol. 62 (1974), 1628-1643.
  39. Time Series: Data Analysis and Theory, New York, Holt, Rinehart and Winston, 512 pp. (1975)
  40. "Statistical inference for stationary point processes," Stochastic Processes and Related Topics, (ed. M.L. Puri), New York, Academic (1975), pp. 55-99.
  41. "The identification of point process systems," Annals of Probability, Vol. 3, (1975), pp. 909-924.
  42. "Estimation of product densities," Computer Science and Statistics: 8th Annual Symposium (ed. J.W. Frane), U.C.L.A. (1975), pp. 431-438.
  43. D.R. Brillinger, H.L. Bryant and J.P. Segundo, "Identification of synaptic operators," Proceedings of the California Institute of Technology Conference,(eds. J. McCann and P.Z. Marmarelis), pp. 221-226.
  44. "Measuring the association of point processes: a case history," American Mathematical Monthly, Vol. 83 (1976), pp. 16-22.
  45. "Estimation of the second-order intensities of a bivariate stationary point process," Journal of the Royal Statistical Society B Vol. 38 (1976), pp. 60-66.
  46. "Some history of the data analysis of time series in the United States," History of Statistics in the United States (ed. D.B. Owen), New York, Marcel Dekker (1976), pp. 267-280.
  47. D.R. Brillinger, H.L. Bryant and J.P. Segundo, "Identification of synaptic interactions," Biological Cybernetics, Vol. 22 (1976), 213-228.
  48. "Approximate estimation of the standard errors of complex statistics based on sample surveys," New Zealand Statistician, 1 (1976), pp. 35-41.
  49. "The identification of a particular nonlinear time series system," Biometrika, Vol. 64 (1977), pp. 509-515.
  50. "Comparative aspects of the study of ordinary time series and of point processes," Advances in Statistics, Vol. 1 (1978), pp. 33-133, New York, Academic.
  51. "A note on a representation for the Gauss-Poisson process," Stoch. Proc. Appl. Vol. 6 (1978), pp. 135-137.
  52. W.A. Silveria and D.R. Brillinger, "On maximum wave heights of severe seas," Proc. 1978 Offshore Technology Conference, Vol. III (1978), pp. 1563-1568.
  53. D.R. Brillinger, A. Udias and B.A. Bolt, "Un modelo probabilistico para la determinacion del mechanismo region de los terremotos," II Asambla Geol. y Geof. Barcelona. IGN, (1978), pp. 637-640.
  54. W.H.K. Lee and D.R. Brillinger, "A point process analysis of Chinese earthquake history," Proc. Conf. Seismic Gaps. Cambridge, M.I.T. (1978).
  55. D.R. Brillinger, L.V. Jones and J.W. Tukey, The Role of Statistics in Weather Resources Management, Vol. II, The Management of Weather Resources, Washington, Government Printing Office (1978).
  56. "A note on the estimation of evoked response," Biological Cybernetics, Vol. 31 (1978), pp. 141-144.
  57. 56a. "Obituary: Henry Scheffe 1907-1977". J. Roy. Statist. Soc. Swr. A 141, 406-407 (1978)
  58. "Analyzing point processes subjected to random deletions," Canadian J. Statistics, Vol. 7 (1979), pp. 21-27.
  59. "A continuous form of post-stratification," Ann. Inst. Stat. Math. Vol. 31 (1979), pp. 271-277.
  60. G. Hung, D.R. Brillinger and L. Stark, "Interpretation of kernels, Same signed lst and 2nd degree," Math. Biosciences, Vol. 46, (1979), pp. 159-187.
  61. B.A. Bolt and D.R. Brillinger, "Estimation of uncertainties in eigenspectral estimates from decaying geophysical time series," Geophys. J.R. Astr. Soc., Vol. 59 (1979), pp. 593-603.
  62. D.R. Brillinger and J.P. Segundo, "Empirical examination of the threshold model of neuron firing," Bio. Cybernetics, Vol. 35 (1979), pp. 213-220.
  63. "Confidence intervals for the cross-covariance function," Selecta Statistica Canadiana, Vol. V (1979), pp. 1-16.
  64. W.H.K. Lee and D.R. Brillinger, "On Chinese earthquake history - an attempt to model an incomplete data set by point process analysis," Pure and Applied Geophysics, Vol. 117 (1979), pp. 1229-1257.
  65. D.R. Brillinger, A. Udias and B.A. Bolt, "A probability model for regional focal mechanism solutions," Bul. Seismol. Soc. Amer. Vol. 70 (1980), pp. 149-170.
  66. Vremenne Ryad: Oraotka Dannh e. Teoreya. Mir Publisher, Moscow, Translation of first edition of #70 (1980).
  67. 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 (1980), American Mathematical Society, Providence, pp. 65-90.
  68. "Analysis of variance problems under time series models," Handbook of Statistics, Vol. 1 (ed. P.R. Krishnaiah), North-Holland (1980), pp. 237-278.
  69. A. Udias, E. Buforn, D.R. Brillinger and B.A. Bolt, "A numerical method for individual and regional fault plane determinations," Publ. Inst. Geophys. Pol. Acad. Sc. A-10 (1980), pp. 87-94.
  70. "The comparison of least squares and third-order periodogram procedures in the estimation of bifrequency," J. Time Series Analysis, Vol. I (1980), pp. 95-102.
  71. Time Series: Data Analysis and Theory (Expanded Edition) Holden-Day Inc., San Francisco (1981).
  72. "Some aspects of the analysis of evoked response experiments," in Statistics and Related Topics (eds., M. Csorgo, D. Dawson, J. Rao and A. Saleh), Amsterdam, North-Holland, (1981), pp. 155-168.
  73. "Some aspects of modern population mathematics," Canadian J. Statistics, Vol. 9, (1981), pp. 173-194.
  74. "The key role of tapering in spectrum estimation," IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-29 (1981), pp. 1075-1076. Reprinted in Coherence and Time Delay Estimation (Ed. G.C. Carter) IEEE Press, New York (1993), pp. 37-38.
  75. "The general linear model in the design and analysis of evoked response experiments," J. Theoret. Neurobiol. Vol. 1 (1981) pp. 105-119.
  76. Problem 6372. Amer. Math. Monthly, Vol. 88, (1981), 769. -
  77. "Asymptotic normality of finite Fourier transforms of stationary generalized processes," J. Mult. Analysis, Vol. 12 (1982), 64-71.
  78. "Seismic risk assessment: some statistical aspects," Earthquake Prediction Research, Vol. 1 (1982), pp. 183-195.
  79. A Udias, E. Buforn, D.R. Brillinger and B.A. Bolt, "Joint statistical determination of fault plane parameters," Physics of Earth and Planetary Interiors, Vol. 30 (1982), pp. 178-184.
  80. "A generalized linear model with `Gaussian' regressor variables," Lehmann Festschrift, Wadsworth (1982), pp. 97-114.
  81. "Some bounds for seismic risk," Bull. Seismol. Soc. Amer. Vol. 72 (1982), pp. 1403-1410.
  82. "Some contrasting examples of the time and frequency domain approaches to time series analysis," Time Series Methods in Hydrosciences, (eds. A.H. El-Shaarawi and S.R. Esterby), Elsevier, Amsterdam (1982), pp. 1-15.
  83. J.A. Comis, E. Marg, D.R. Brillinger, D.P. Rudiak, E.L. Keller, "Comparison of means and medians in the reduction of visual evoked potential data," Proc. Fifteenth Hawaii International Conference on System Sciences, Vol. 2 (1982), pp. 242-253.
  84. "Statistics in Fertility Research: Value and Limitations," Report No. 19, Committee on Population and Demography, National Research Council, (1983).
  85. "Jump process," Encyclopedia of Statistical Sciences, Vol. 4, J. Wiley, New York (1983), pp. 336-338.
  86. D.R. Brillinger and H.K. Preisler, "Maximum likelihood estimation in a latent variable problem," Studies in Econometrics, Time Series and Multivariate Statistics, (eds. S. Karlin, T. Amemiya and L.A. Goodman), Academic Press, New York (1983), pp. 31-65.
  87. "The finite Fourier transform of a stationary process, " Handbook of Statistics, Vol. 3 (eds. D.R. Brillinger and P.R. Krishnaiah), Elsevier, Amsterdam, (1983), pp. 21-37.
  88. "Statistical inference for random processes," Proceedings 1982 International Congress of Mathematicians, Warsaw, (1984) pp. 1049-1061.
  89. "Statistical inference for irregularly observed processes," Proceedings of the Symposium on Time Series Analysis of Irregularly Observed Data, (ed. E. Parzen), Lecture Notes in Statistics, Springer-Verlag, (1984), pp. 38-57.
  90. 89. D.R. Brillinger and H.K. Preisler, "An exploratory analysis of the Joyner-Boore attenuation data," Bull. Seismol. Soc. America, Vol. 74 (1984), pp. 1441-1450.
  91. "Tukey's work on time series analysis," The Collected Works of J.W. Tukey, Vol. 1, (ed. D.R. Brillinger) Wadsworth (1984), pp. xliii-lxv.
  92. D.R. Brillinger and H.K. Preisler, "Further analysis of the Joyner-Boore attenuation data," Bull. Seismol. Soc. America, Vol. 75 (1985), pp. 611-614.
  93. D.R. Brillinger and J.W. Tukey, "Spectrum analysis in the presence of noise: some issues and examples," The Collected Works of J.W. Tukey, Vol. 2, (ed. D.R. Brillinger) Wadsworth (1985), pp. 1001-1141.
  94. "A maximum likelihood approach to frequency-wavenumber analysis," IEEE Trans. Acoustics, Speech, Signal Processing, Vol. ASSP-33 (1985), pp. 1076-1085.
  95. "Fourier inference: some methods for the analysis of array and nongaussian series data," Water Resources Bulletin, Vol. 21 (1985), pp. 743-756.
  96. "Statistics," New Canadian Encyclopedia, Hurtig (1985), p. 1754.
  97. "Some statistical aspects of NMR spectroscopy" Actas del Segundo Congresso Latinoamericano de Probabilidad y Estatistica Mathematica, Caracas (1985), pp. 9-17.
  98. 96a. Lehmann, E. L., Brillinger, D.R. and Singer, I.M. "Jack Carl Kiefer, Statis tics and Mathematics: Berkeley". In Memorian, University of California, Berkeley Pp. 215-216 (1985).
  99. "Regression for randomly sampled spatial series: the trigonometric case," Essays in Time Series and Allied Processes, Applied Probability Trust, Sheffield (1986), pp. 275-289.
  100. "What do seismology and neurophysiology have in common? - Statistics." C.R. Math. Rep. Acad. Sci. Canada, Vol. 8 (1986), pp, 1-11.
  101. D.R. Brillinger and H.K. Preisler, "Two examples of quantal data analysis: a) multivariate point process b) pure death process in an experimental design," Proc. XIII International Biometric Conference, Seattle (1986), pp. 94-113.
  102. "The natural variability of vital rates and associated statistics Biometrics, Vol. 42 (1986), pp. 693-712. (with discussion).
  103. "Fitting cosines : some procedures and some physical examples," Applied Probability, Stochastic Processes, and Sampling Theory, (eds. I.B. MacNeill and G.J. Umphrey) D. Reidel, Boston (1987), pp. 75-100.
  104. "Analysing interacting nerve cell spike trains to assess causal connections," Advanced Methods of Physiological System Modelling, Vol. 1 (1987) (ed. V.Z. Marmarelis), pp. 29-40.
  105. "Statistiques," L'encyclopedie du Canada, Hurtig (1987), p.1871. (Translation of 95.)
  106. "The maximum likelihood approach to the identification of neuronal firing systems," Annals of Biomedical Engineering, Vol. 16 (1988), pp. 3-16.
  107. The 1983 Wald Memorial Lectures : "Some statistical methods for random process data from seismology and neurophysiology," Annals of Statistics, Vol. 16 (1988), pp. 1-54.
  108. P. Bloomfield, D.R. Brillinger, D.W. Nychka and R.S. Stolarski, "Statistical issues", Report of the International Ozone Trends Panel, World Meteorological Organization Report 18 (1988).
  109. "Maximum likelihood analysis of spike trains of interacting nerve cells," Biological Cybernetics, Vol. 59 (1988), pp. 189-200.
  110. "An elementary trend analysis of Rio Negro levels at Manaus, 1903-1985," Revista Brasileira de Probabilidade e Estatistica, Vol. 2 (1988), pp. 63-79.
  111. "Estimating the chances of large earthquakes by radiocarbon dating and statistical modelling," pp. 249-260 in Statistics : a Guide to the Unknown, (eds. J.M. Tanur et al.), third edition. Pacific Grove, Wadsworth (1989).
  112. K. Sieh, M. Stuiver and D.R. Brillinger, "A more precise chronology of earthquakes produced by the San Andreas Fault in Southern California," J. Geophysical Research, Vol. 94 (1989), pp. 603-623. Reprinted in Engineering Geology Practice in Southern California (Eds. B. Pipkin and R.J. Proctor). Star, Belmont (1992).
  113. "Consistent detection of a montonic trend superposed on a stationary time series," Biometrika, Vol. 76, (1989) pp. 23-30.
  114. D.R. Brillinger, K.H. Downing and R.M. Glaeser, "Combining noisy images of small crystalline domains in high resolution electron microscopy," J. Applied Statistics, Vol. 16 (1989), pp. 53-61.
  115. J.R. Rosenberg, A.M. Amjad, P. Breeze, D.R. Brillinger and D.M. Halliday, "The Fourier approach to the identification of functional coupling between neuronal spike trains," Progress in Biophysics and Molecular Biology, Vol. 53 (1989), pp. 1-31.
  116. "Parameter estimation for nonGaussian processes via second and third order spectra with an application to some endocrine data," pp. 53-61 in Advanced Methods of Physiological System Modelling, (ed. V.Z. Marmarelis) New York, Plenum (1989).
  117. "Some examples of the statistical analysis of seismological data," pp. 266-278 in Observatory Seismology (Ed. J.L. Litehiser) Univ. Calif. Press, Berkeley (1989).