Stats 253: Analysis of Spatial and Temporal Data

Dennis Sun, Stanford University, Summer 2015


The following is the schedule for Summer 2015.

Theme Monday Wednesday Friday
Introduction and Review What is spatial and temporal data? Pitfalls of linear regression Three justifications for OLS: BLUE, MLE, MMSE. Autocovariance function, generalized least squares
Lecture Slides Lecture Notes Lecture Slides
Covariance Modeling Estimating the covariance
[Quiz 1]
Kriging and prediction No Class: Independence Day
Lecture Slides
Reference: Cressie Ch 1
Lecture Slides
Reference: Cressie Ch 2-4
Autoregressive Processes AR processes in time AR processes in space Models for Non-Gaussian Data
Lecture Slides Lecture Slides
Reference: Cressie Ch 6-7
Lecture Slides
Reference: Sherman Ch 4, Besag (1974)
Bayesian Methods The Bayesian Paradigm Gibbs sampling and Bayesian computations Diagnostics and Model Checking
Lecture Slides
JAGS: Model, R Code
Lecture Slides
Reference: Banerjee et al: Basics of Bayes, Bayes for Spatial Data
Lecture Slides
JAGS: Model, R Code
Special Topics Kernel Methods and Poisson Processes
Lecture Slides
Reference: Diggle: Statistical Analysis of Spatial and Spatio-Temporal Point Patterns
Introduction to ArcGIS (Guest Lecture by Pooja Loftus)
Lecture Slides