Spatiotemporal Data Analysis (eBook)

Gidon Eshel (Autor)

eBook Download: EPUB

2011
368 Seiten
Princeton University Press (Verlag)
978-1-4008-4063-2 (ISBN)

Infos

A severe thunderstorm morphs into a tornado that cuts a swath of destruction through Oklahoma. How do we study the storm's mutation into a deadly twister? Avian flu cases are reported in China. How do we characterize the spread of the flu, potentially preventing an epidemic? The way to answer important questions like these is to analyze the spatial and temporal characteristics--origin, rates, and frequencies--of these phenomena. This comprehensive text introduces advanced undergraduate students, graduate students, and researchers to the statistical and algebraic methods used to analyze spatiotemporal data in a range of fields, including climate science, geophysics, ecology, astrophysics, and medicine. Gidon Eshel begins with a concise yet detailed primer on linear algebra, providing readers with the mathematical foundations needed for data analysis. He then fully explains the theory and methods for analyzing spatiotemporal data, guiding readers from the basics to the most advanced applications. This self-contained, practical guide to the analysis of multidimensional data sets features a wealth of real-world examples as well as sample homework exercises and suggested exams.

Autor

Gidon Eshel is Bard Center Fellow at Bard College.

Produkt-Details

• Erscheint lt. Verlag: 5.12.2011
• Zusatzinfo: 76 halftones. 19 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geologie
• Themenwelt: Technik
• Schlagworte: Accuracy and precision • Addition • Amplitude • arithmetic • astrophysics • autocorrelation • autocorrelation functions • autocovariance • Autoregressive model • Basis (linear algebra) • Big O notation • Calculation • central limit theorem • Climate Science • climatology • coefficient • Coefficient matrix • column space • combination • Confidence interval • correlation coefficient • covariability matrix • Covariance matrix • credibility • Cross-covariance • Cumulative distribution function • curve fitting • Data Analysis • data matrices • data set • degrees of freedom • Degrees of freedom (statistics) • deterministic science • Diagonal matrix • Dimension • Dynamical system • Ecology • eigenanalysis • eigen-decomposition • eigen-techniques • eigenvalues • Eigenvalues and Eigenvectors • empirical orthogonal functions • empirical science • Empiricism • eof • EOF analysis • Equation • estimation • Exercises • existential quantification • expected value • forward problem • Fourier • Fundamental theorem of linear algebra • Gaussian elimination • Geophysics • Graduate school • Gram–Schmidt process • GramГchmidt orthogonalization • histogram • Identity matrix • Integer • inverse problem • Least Squares • Likelihood Function • linear algebra • Linear combination • linear differential equation • Linear Independence • linear regression • MATLAB • matrices • Matrix • matrix structure • Medicine • multidimensional data • multidimensional data sets • nondeterministic phenomena • Normal distribution • Norm (mathematics) • North Atlantic Oscillation • Notation • null hypothesis • null space • Order of magnitude • orthogonality • Orthonormal basis • Orthonormality • Outer product • Parameter • percentage • Periodic function • Phenomena • phenomenon • Prediction • Principal Component Analysis • Probability • Probability Distribution • Quantity • Random Variable • Rank (linear algebra) • real number • Regression Analysis • remainder • resultant • round-off error • Row and column spaces • row space • Schematic • scientific notation • seasonality • SIMULINK • Sine Wave • Singular value • singular value decomposition • smoothing • spatiotemporal data • Special case • Spectral Representation • square matrices • square root • standard deviation • Statistic • Statistical hypothesis testing • statistical significance • Statistics • Stochastic Processes • subjective decisions • Subset • Summation • SVD • SVD analysis • theoretical science • Time evolution • timescale • Time Series • Tornado • transpose • Trigonometric Functions • two-dimensional space • Variable (mathematics) • Variables • Variance • Vectors • Vector Space
• ISBN-10: 1-4008-4063-5 / 1400840635
• ISBN-13: 978-1-4008-4063-2 / 9781400840632