PLACE:   319 Snedecor

SPEAKER:
Jun Zhu
Iowa State University

TITLE:
Asymptotic Inference for Spatial CDFs over Time

ABSTRACT:

A spatial cumulative distribution function (SCDF) is a random function that provides a statistical summary of a random process over a spatial domain of interest.   In this talk, I consider a spatio-temporal process and present statistical methodology that analyzes changes in the SCDF over time. I develop a hypothesis test to detect a difference  in the spatial random processes at two time points, and construct a prediction interval to quantify such discrepancy in the corresponding SCDFs. Using a spatial subsampling method, I show that these inferences are valid asymptotically. As an illustration, I apply these inference procedures to test and predict changes in the SCDF of an ecological index for foliage condition of red maple trees in the state of Maine in the early 1990s.

COFFEE
3:45 p.m., 104 Snedecor