Examples of Scientific Problems and Data Analyses in Demography, Neurophysiology, and Seismology

Abstract Examples of scientific problems and data analyses are presented for the fields of demography, neurophysiology, and seismology. The examples are connected by the involvement of space or time. The demographic problem is to display quantities derived from spatially aggregated data and associated measures of uncertainty. The neurophysiological problem is to infer the presence of complex pathways among groups of neurons given sequences of firing times. There are two seismological problems: (1) to determine isoseismals of recorded intensities following the Loma Prieta earthquake and (2) to relate intensity and acceleration values measured at distinct locations. The statistical analyses are connected to each other by the application of smoothing in some form and by the provision of consequent graphical displays.

[1]  C. J. Stone,et al.  Consistent Nonparametric Regression , 1977 .

[2]  Earthquake risk and insurance , 1993 .

[3]  K. Salkauskas,et al.  Moving least-squares are Backus-Gilbert optimal , 1989 .

[4]  K. E. Bullen,et al.  An Introduction to the Theory of Seismology , 1964 .

[5]  Alessandro E. P. Villa,et al.  Physiological differentiation within the auditory part of the thalamic reticular nucleus of the cat , 1990, Brain Research Reviews.

[6]  W. Tobler.  Smooth pycnophylactic interpolation for geographical regions. , 1979, Journal of the American Statistical Association.

[7]  Nira Dyn,et al.  On the Estimation of Functions of Several Variables from Aggregated Data. , 1982 .

[8]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[9]  W. G. Gilchrist,et al.  Methods of Estimation Involving Discounting , 1967 .

[10]  R. Tibshirani,et al.  Local Likelihood Estimation , 1987 .

[11]  P. Segall.  Geophysics 1990: Loma Prieta earthquake , 1991 .

[12]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

[13]  Vasilis Z. Marmarelis,et al.  Advanced Methods of Physiological System Modeling , 1989 .

[14]  David M. Boore,et al.  Peak Accelerations From the 17 October 1989 Loma Prieta Earthquake , 1989 .

[15]  C. Stover,et al.  Preliminary isoseismal map for the Santa Cruz (Loma Prieta), California, earthquake of October 18, 1989 UTC , 1990 .

[16]  Geoffrey Dutton.  An extensible approach to imagery of gridded data , 1977, SIGGRAPH '77.

[17]  John W. Tukey,et al.  Exploratory Data Analysis. , 1979 .

[18]  D. O. Hebb,et al.  The organization of behavior , 1988 .

[19]  A. Tsybakov,et al.  Robust nonparametric regression with simultaneous scale curve estimation , 1988 .

[20]  P. Diaconis,et al.  Computer-Intensive Methods in Statistics , 1983 .

[21]  David R. Brillinger,et al.  Nerve Cell Spike Train Data Analysis: A Progression of Technique , 1992 .

[22]  H. D. Brunk,et al.  Discussion: Consistent Nonparametric Regression , 1977 .

[23]  J. Staniswalis.  The Kernel Estimate of a Regression Function in Likelihood-Based Models , 1989 .

[24]  D. Brillinger,et al.  Examples of the Investigation of Neural Information Processing by Point Process Analysis , 1994 .

[25]  On the consistency of the historic temperature record with greenhouse warming , 1992 .

[26]  P. Eilers,et al.  Nonparametric density estimation with grouped observations , 1991 .