Ebook: Selected Works of David Brillinger

This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.

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This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.

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This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.
Content:
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

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This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.
Content:
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
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