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Some statistical methods for random process data from seismology and neurophysiology. (English) Zbl 0637.62089

Summary: Examples are presented of statistical techniques for the analysis of random process data and of their uses in the substantive fields of seismology and neurophysiology. The problems addressed include frequency estimation for decaying cosinusoids, signal estimation, association measurement, causal connection assessment, estimation of speed and direction and structural modeling.
The techniques employed include complex demodulation, nonlinear regression, probit analysis, deconvolution, maximum likelihood, singular value decomposition, Fourier analysis and averaging.

MSC:

62M99 Inference from stochastic processes
62P99 Applications of statistics
86A15 Seismology (including tsunami modeling), earthquakes
62P10 Applications of statistics to biology and medical sciences; meta analysis
92Cxx Physiological, cellular and medical topics

Software:

HSL
Full Text: DOI