Accession Number : ADA182768

Title :   Theory and Applications of Random Fields.

Descriptive Note : Final rept. 1 Oct 85-30 Sep 86,

Corporate Author : WASHINGTON UNIV SEATTLE

Personal Author(s) : Adler,Robert J

PDF Url : ADA182768

Report Date : Nov 1986

Pagination or Media Count : 19

Abstract : The main results discussed in this report include; (a) The modelling of rough surfaces via chi squared random fields, and a discussion of the analytic properties of chi squared processes and fields. (b) The distribution of the supremum of Gaussian processes, centering on tail distributions. (c) The relationship of (b) to the study of empirical processes and other problems related to empirical processes and measures. (d) The relationship between Gaussian and non-Gaussian generalised processes and Markov processes via central and other limit theorems for functionals of Markov paths.

Descriptors :   *STOCHASTIC PROCESSES, DISTRIBUTION, MARKOV PROCESSES, STATISTICAL PROCESSES, SURFACE ROUGHNESS, TWO DIMENSIONAL, GAUSSIAN QUADRATURE, CHI SQUARE TEST, MULTIVARIATE ANALYSIS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE