Univariate Time Series in Geosciences: Theory and Examples [Paperback]

This is a detailed introduction to the statistical analysis of geophysical time series, using numerous examples and exercises to build proficiency. The exercises lead the reader to explore the meaning of concepts such as the estimation of the linear time series (AMRA) models or spectra. The book also serves as a guide to using the open-source R program for statistical analysis of time series.

The author introduces the statistical analysis of geophysical time series. The book includes also a chapter with an introduction to geostatistics, many examples and exercises which help the reader to work with typical problems. More complex derivations are provided in appendix-like supplements to each chapter. Readers are assumed to have a basic grounding in statistics and analysis. The reader is invited to learn actively from genuine geophysical data. He has to consider the applicability of statistical methods, to propose, estimate, evaluate and compare statistical models, and to draw conclusions.

The author focuses on the conceptual understanding. The example time series and the exercises lead the reader to explore the meaning of concepts such as the estimation of the linear time series (AMRA) models or spectra.

This book is also a guide to using R for the statistical analysis of time series. R is a powerful environment for the statistical and graphical analysis of data. R is available under GNU conditions.

Stationary Stochastic Processes.- Linear Models for the Expectation Function.- Interpolation.- Linear Processes.- Fourier Transforms of Deterministic Functions.- Fourier Representation of a Stationary Stochastic Process.- Does a Periodogram Estimate a Spectrum?.- Estimators for a Continuous Spectrum.- Estimators for a Spectrum Having a Discrete Part.

From the reviews of the first edition:

Books entirely devoted to time-series analysis of geological dlcá