Theory and Applications of Random Fields.

The main results discussed in this final report include 1 A discussion of the sample path behavior of chi-squared stochastic processes, with emphasis on the ways in which such processes exhibit non-normal behavior. 2 A discussion of the existence and path continuity of set indexed processes with independent increments. 3 Information on the distribution of suprema of random fields and empirical processes, with applications to stochastic modeling and statistical hypothesis testing. Author