The National Science Foundation (NSF) awarded a $248,285 Project Grant under the Integrative Activities (IA) program to the University of Mississippi. This 2-year grant, awarded on February 1, 2025, will support the development of new methods for studying long-memory linear random fields, which are important stochastic models for understanding complex systems, quantifying risk, and finding optimal solutions.
The principal investigator will collaborate with an expert at Michigan State University to investigate kernel and wavelet estimators for density and quadratic entropy, focusing on innovations in the domain of attraction of stable laws. This research aims to provide a comprehensive understanding of sampling requirements and conditions for long-memory linear random fields, illuminating data analysis when observations exhibit heavy tails and long-range dependence. Through this fellowship, the principal investigator will expand their research program, strengthen the probability and statistics group at the University of Mississippi, and enhance graduate and undergraduate education in spatial data analysis.
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