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STAT 575

STATISTICAL METHODS FOR SPATIAL DATA

3 credits.

Detecting, quantifying, and modeling spatial patterns and structure in data. Variograms and covariance functions, linear predictions with uncertainty qualification, and conditional simulations. Spectral domain models and spectral densities. Spatial point processes. Contemporary applications and Gaussian process model fitting at scale.

Prerequisites & course information

Requisites: ( STAT 333 or 340 ) and ( MATH 320 , 340 , 341 , 345 , or 375 ), graduate/professional standing, or declared in Statistics VISP Course Designation: Core GenEd - Natural Science & Wellness Level - Advanced L&S Credit - L&S Liberal Arts and Science Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Fall 2025 Learning Outcomes: 1. Undertake exploratory analysis of spatial and spatio-temporal data with nonparametric estimators like empirical variograms. Audience: Both Grad & Undergrad 2. Fit parametric and semi-parametric mean and covariance models to spatial and spatio-temporal data for the purposes of prediction and uncertainty quantification. Audience: Both Grad & Undergrad 3. Understand important differences between interpolation and extrapolation and how to choose and design models more effectively for each application. Audience: Both Grad & Undergrad 4. Use the R programming language to load, manipulate, and effectively work with spatial data in popular file formats like CSV, NetCDF, HDF5. Audience: Undergraduate 5. Use several popular software libraries and modeling paradigms for spatial and spatio-temporal problems like estimation and prediction. Audience: Both Grad & Undergrad 6. Understand problems of identifiability and consistency in popular modeling paradigms. Audience: Graduate Learning Outcomes: 1. Undertake exploratory analysis of spatial and spatio-temporal data with nonparametric estimators like empirical variograms. Audience: Both Grad & Undergrad 2. Fit parametric and semi-parametric mean and covariance models to spatial and spatio-temporal data for the purposes of prediction and uncertainty quantification. Audience: Both Grad & Undergrad 3. Understand important differences between interpolation and extrapolation and how to choose and design models more effectively for each application. Audience: Both Grad & Undergrad 4. Use the R programming language to load, manipulate, and effectively work with spatial data in popular file formats like CSV, NetCDF, HDF5. Audience: Undergraduate 5. Use several popular software libraries and modeling paradigms for spatial and spatio-temporal problems like estimation and prediction. Audience: Both Grad & Undergrad 6. Understand problems of identifiability and consistency in popular modeling paradigms. Audience: Graduate

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