Selected Works of David Brillinger

Front Matter....Pages i-lxxi
Front Matter....Pages 1-1
Commentary by Victor M. Panaretos....Pages 3-9
Necessary and sufficient conditions for a statistical problem to be invariant under a Lie group....Pages 11-19
An Asymptotic Representation of the Sample Distribution Function....Pages 21-23
The Spectral Analysis of Stationary Interval Functions....Pages 25-55
On The Number of Solutions of Systems of Random Equations....Pages 57-63
Asymptotic Normality of Finite Fourier Transforms of Stationary Generalized Processes....Pages 65-72
A Particle Migrating Randomly on a Sphere....Pages 73-87
Some Statistical Methods for Random Process Data from Seismology and Neurophysiology....Pages 89-142
Front Matter....Pages 143-143
Commentary by Pedro A. Morettin....Pages 145-148
An Introduction to Polyspectra....Pages 149-172
Asymptotic Theory of Estimates of kTH-Order Spectra....Pages 173-177
Asymptotic properties of spectral estimates of second order....Pages 179-194
Fourier Analysis of Stationary Processes....Pages 195-210
The digital rainbow: Some history and applications of numerical spectrum analysis....Pages 211-229
An investigation of the second- and higher-order spectra of music....Pages 231-249
Some Examples of Empirical Fourier Analysis in Scientific Problems....Pages 251-286
Some Examples of Random Process Environmental Data Analysis....Pages 287-322
Front Matter....Pages 323-323
Commentary: Introductory Comments to Some Applied Papers by David R. Brillinger, by Tore Schweder and Haiganoush Preisler....Pages 325-333
Empirical Modelling of Population Time Series Data: The Case of Age and Density Dependent Vital Rates....Pages 335-360
Learning a Potential Function From a Trajectory....Pages 361-364
Front Matter....Pages 323-323
A Potential Function Approach to the Flow of Play in Soccer....Pages 365-384
The Use Of Potential Functions In Modelling Animal Movement....Pages 385-409
Elephant-seal movements: Modelling migration....Pages 413-425
Random Process Methods And Environmental Data: The 1996 Hunter Lecture....Pages 425-437
The 2005 Neyman Lecture: Dynamic Indeterminism in Science....Pages 439-455
Front Matter....Pages 457-457
Commentary by Peter Guttorp....Pages 459-463
An Empirical Investigation of the Chandler Wobble and Two Proposed Excitation Processes....Pages 465-486
Estimation of uncertainties in eigenspectral estimates from decaying geophysical time series....Pages 487-497
Statistical Inference for Stationary Point Processes....Pages 499-543
Special Invited Paper....Pages 545-560
Measuring The Association Of Point Processes: A Case History....Pages 561-567
Empirical Examination of the Threshold Model of Neuron Firing....Pages 569-576
Nerve Cell Spike Train Data Analysis: A Progression of Technique....Pages 577-588
A Generalized Linear Model With “Gaussian” Regressor Variables....Pages 589-606
The identification of a particular nonlinear time series system....Pages 607-613