# Contents * the following line creates the automatic table of contents {:toc} ## Idea ## Mathematical statistics is about data analysis using different tools from mathematics like probability theory. The analyzed data is often assumed to exhibit some influence from [[Random process]]es. Azimuth will concentrate on the use of mathematical statistics in [[Earth science]]s and [[Climate model]]s, as a tool to enable an objective assessment of measurements, experiments and models. ## References ## ### General ### * Wikipedia: [Mathematical statistics](http://en.wikipedia.org/wiki/Mathematical_statistics) Mathematical statistics is a huge subject, and there is a multiplicity of textbooks. Any recommendation is therefore to be considered to be an example only. * Jun Shao: _Mathematical statistics._ ([ZMATH](http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1018.62001&format=complete)) * E.T. Jaynes and G. Larry Bretthorst, _Probability Theory: The Logic of Science_ * James Clark: _Models For Ecological Data: An Introduction_ * Andrew Gelman, John Carlin, Hal Stern, Donald Rubin: _Bayesian Data Analysis_ * Devinderjit Sivia and John Skilling: _Data Analysis: A Bayesian Tutorial_ * Giulio D'Agostini: _Bayesian Reasoning in Data Analysis_ * Peter Congdon: _Bayesian Statistical Modelling_ * Phil Gregory: _Bayesian Logical Data Analysis for the Physical Sciences_ * Jim Albert: _Bayesian Computation With R_ * Christian Robert and George Casella: _Monte Carlo Statistical Methods_ * Daniel Wilks: _Statistical Methods in the Atmospheric Sciences_ * Hans von Storch and Francis W. Zweiers: _Statistical Analysis in Climate Research_ * Robert Shumway and David Stoffer: _Time Series Analysis and Its Applications: With R Examples_ * Hans Wackernagel: _Multivariate Geostatistics_ * Noel Cressie: _Statistics for Spatial Data_ * Sudipto Banerjee, Bradley Carlin, and Alan Gelfand, _Hierarchical Modeling and Analysis for Spatial Data_ * A. Saltelli et al.: _Global Sensitivity Analysis: The Primer_ * Thomas Santner, Brian Willians, and William Notz: _The Design and Analysis of Computer Experiments_ * Carl Rasmussen and Christopher Williams: _Gaussian Processes for Machine Learning_ * Ray Hilborn and Marc Mangel: _The Ecological Detective_ ### Software ### See [[R]]. [[!redirects mathematical statistics]] [[!redirects statistics]]